Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2009-07

AUTHORS

M. Einsiedler, G. Margulis, A. Venkatesh

ABSTRACT

We prove effective equidistribution, with polynomial rate, for large closed orbits of semisimple groups on homogeneous spaces, under certain technical restrictions (notably, the acting group should have finite centralizer in the ambient group). The proofs make extensive use of spectral gaps, and also of a closing lemma for such actions.

PAGES

137-212

References to SciGraph publications

  • 1979. Sur les coefficients des representations unitaires des groupes de Lie simples in ANALYSE HARMONIQUE SUR LES GROUPES DE LIE II
  • 1994-12. Invariant measures for actions of unipotent groups over local fields on homogeneous spaces in INVENTIONES MATHEMATICAE
  • 1995. The Minimal Decay of Matrix Coefficients for Classical Groups in HARMONIC ANALYSIS IN CHINA
  • 1990-12. On measure rigidity of unipotent subgroups of semisimple groups in ACTA MATHEMATICA
  • 1999-12. Logarithm laws for flows on homogeneous spaces in INVENTIONES MATHEMATICAE
  • 1991-12. Ramanujan duals II in INVENTIONES MATHEMATICAE
  • 2003-02. Démonstration de la conjecture τ in INVENTIONES MATHEMATICAE
  • 1991-04. Asymptotic behaviour of trajectories of unipotent flows on homogeneous spaces in PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES. SECTION A
  • 2007-04. Distribution of lattice orbits on homogeneous varieties in GEOMETRIC AND FUNCTIONAL ANALYSIS
  • 1996-05. On the decay of matrix coefficients for exceptional groups in MATHEMATISCHE ANNALEN
  • 1990-12. Strict measure rigidity for unipotent subgroups of solvable groups in INVENTIONES MATHEMATICAE
  • 1990-03. Orbit closures of generic unipotent flows on homogeneous spaces ofSL(3, ℝ) in MATHEMATISCHE ANNALEN
  • 1989-06. Values of quadratic forms at primitive integral points in INVENTIONES MATHEMATICAE
  • 1971-06. Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I in INVENTIONES MATHEMATICAE
  • 1985-02. Rigidity of some translations on homogeneous spaces in INVENTIONES MATHEMATICAE
  • 1986-07. Rigidity of time changes for horocycle flows in ACTA MATHEMATICA
  • 2001-05. Hecke operators and equidistribution of Hecke points in INVENTIONES MATHEMATICAE
  • 1992-06. Raghunathan’s conjectures for SL(2,R) in ISRAEL JOURNAL OF MATHEMATICS
  • 2008-02. Local-global principles for representations of quadratic forms in INVENTIONES MATHEMATICAE
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00222-009-0177-7

    DOI

    http://dx.doi.org/10.1007/s00222-009-0177-7

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1021515131


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Pure Mathematics", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "The Ohio State University", 
              "id": "https://www.grid.ac/institutes/grid.261331.4", 
              "name": [
                "Department of Mathematics, The Ohio State University, 231 West 18th Avenue, 43210-1174, Columbus, OH, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Einsiedler", 
            "givenName": "M.", 
            "id": "sg:person.07530715115.19", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07530715115.19"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Yale University", 
              "id": "https://www.grid.ac/institutes/grid.47100.32", 
              "name": [
                "Department of Mathematics, Yale University, 10 Hillhouse Ave., 06520-8283, New Haven, CT, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Margulis", 
            "givenName": "G.", 
            "id": "sg:person.01247226110.63", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01247226110.63"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Stanford University", 
              "id": "https://www.grid.ac/institutes/grid.168010.e", 
              "name": [
                "Department of Mathematics, Stanford University, 94305, Stanford, CA, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Venkatesh", 
            "givenName": "A.", 
            "id": "sg:person.013016463471.28", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013016463471.28"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/bfb0062491", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001309388", 
              "https://doi.org/10.1007/bfb0062491"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00222-002-0253-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1003734370", 
              "https://doi.org/10.1007/s00222-002-0253-8"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0002-9947-99-02224-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004888519"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01231565", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007331761", 
              "https://doi.org/10.1007/bf01231565"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0022-1236(79)90078-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007527911"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02399199", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007670884", 
              "https://doi.org/10.1007/bf02399199"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02872005", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009146586", 
              "https://doi.org/10.1007/bf02872005"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-94-011-0141-7_8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010144049", 
              "https://doi.org/10.1007/978-94-011-0141-7_8"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0273-0979-1985-15308-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010568310"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s1874-575x(02)80013-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011549173"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00039-006-0583-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013928984", 
              "https://doi.org/10.1007/s00039-006-0583-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s002220050350", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016687602", 
              "https://doi.org/10.1007/s002220050350"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s002220050350", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016687602", 
              "https://doi.org/10.1007/s002220050350"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s002220050350", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016687602", 
              "https://doi.org/10.1007/s002220050350"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s002220100126", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020097129", 
              "https://doi.org/10.1007/s002220100126"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01388769", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027625864", 
              "https://doi.org/10.1007/bf01388769"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1353/ajm.0.0034", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032625215"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02808152", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032991826", 
              "https://doi.org/10.1007/bf02808152"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02808152", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032991826", 
              "https://doi.org/10.1007/bf02808152"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01388860", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034702929", 
              "https://doi.org/10.1007/bf01388860"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02391906", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034795918", 
              "https://doi.org/10.1007/bf02391906"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01243900", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041575179", 
              "https://doi.org/10.1007/bf01243900"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01231511", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042685737", 
              "https://doi.org/10.1007/bf01231511"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01231511", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042685737", 
              "https://doi.org/10.1007/bf01231511"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01444220", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043011648", 
              "https://doi.org/10.1007/bf01444220"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01444220", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043011648", 
              "https://doi.org/10.1007/bf01444220"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00222-007-0077-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044089348", 
              "https://doi.org/10.1007/s00222-007-0077-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00222-007-0077-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044089348", 
              "https://doi.org/10.1007/s00222-007-0077-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01453567", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044453697", 
              "https://doi.org/10.1007/bf01453567"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/cpa.3160340602", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045806061"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/cpa.3160340602", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045806061"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/s0143385700001723", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048109810"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/s0143385700001723", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048109810"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/b978-0-12-067570-8.50029-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049645703"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1515/crll.1988.387.97", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050755669"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01404653", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050982878", 
              "https://doi.org/10.1007/bf01404653"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01404653", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050982878", 
              "https://doi.org/10.1007/bf01404653"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://app.dimensions.ai/details/publication/pub.1051172616", 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://app.dimensions.ai/details/publication/pub.1051172616", 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/s0143385700003382", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053860587"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/s0143385700003382", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053860587"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/s0143385705000428", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053862499"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/s0143385700008282", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053928131"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/s0143385700008282", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053928131"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/00127094-2009-023", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064411170"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/s0012-7094-02-11314-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064415274"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/s0012-7094-03-11932-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064415381"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/s0012-7094-04-12334-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064415454"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/s0012-7094-06-13533-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064415643"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/s0012-7094-07-13626-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064415658"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/s0012-7094-84-05110-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064419202"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/s0012-7094-90-06129-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064419631"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/s0012-7094-91-06311-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064419681"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/s0012-7094-93-07107-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064419872"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/s0012-7094-93-07108-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064419873"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/s0012-7094-95-07710-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064420054"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/s0012-7094-97-09005-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064420353"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/120997", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1069397470"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/1970359", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1069675688"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/2007014", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1069694778"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/2007030", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1069694794"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/2373666", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1069900202"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/2661380", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1070051018"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/2944357", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1070142665"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4007/annals.2010.172.989", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1071867291"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4007/annals.2010.172.989", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1071867291"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4310/mrl.1998.v5.n3.a5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1072461891"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4310/pamq.2006.v2.n1.a10", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1072463434"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.5802/aif.2738", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1073138551"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4171/022-2/19", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1087826830"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4064/-23-1-399-409", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1092029085"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/advsov/016.1/03", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1101567760"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2009-07", 
        "datePublishedReg": "2009-07-01", 
        "description": "We prove effective equidistribution, with polynomial rate, for large closed orbits of semisimple groups on homogeneous spaces, under certain technical restrictions (notably, the acting group should have finite centralizer in the ambient group). The proofs make extensive use of spectral gaps, and also of a closing lemma for such actions.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/s00222-009-0177-7", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1136369", 
            "issn": [
              "0020-9910", 
              "1432-1297"
            ], 
            "name": "Inventiones Mathematicae", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "1", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "177"
          }
        ], 
        "name": "Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces", 
        "pagination": "137-212", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "6682451e75e37cdc7ff5993f875eece2ab210e9e5dd98b6d1a906372e4de388d"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s00222-009-0177-7"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1021515131"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s00222-009-0177-7", 
          "https://app.dimensions.ai/details/publication/pub.1021515131"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T14:27", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000373_0000000373/records_13078_00000000.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007/s00222-009-0177-7"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s00222-009-0177-7'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s00222-009-0177-7'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00222-009-0177-7'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00222-009-0177-7'


     

    This table displays all metadata directly associated to this object as RDF triples.

    276 TRIPLES      21 PREDICATES      86 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s00222-009-0177-7 schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author N6724a8701ed64794a7a9e16fee35dc88
    4 schema:citation sg:pub.10.1007/978-94-011-0141-7_8
    5 sg:pub.10.1007/bf01231511
    6 sg:pub.10.1007/bf01231565
    7 sg:pub.10.1007/bf01243900
    8 sg:pub.10.1007/bf01388769
    9 sg:pub.10.1007/bf01388860
    10 sg:pub.10.1007/bf01404653
    11 sg:pub.10.1007/bf01444220
    12 sg:pub.10.1007/bf01453567
    13 sg:pub.10.1007/bf02391906
    14 sg:pub.10.1007/bf02399199
    15 sg:pub.10.1007/bf02808152
    16 sg:pub.10.1007/bf02872005
    17 sg:pub.10.1007/bfb0062491
    18 sg:pub.10.1007/s00039-006-0583-6
    19 sg:pub.10.1007/s00222-002-0253-8
    20 sg:pub.10.1007/s00222-007-0077-7
    21 sg:pub.10.1007/s002220050350
    22 sg:pub.10.1007/s002220100126
    23 https://app.dimensions.ai/details/publication/pub.1051172616
    24 https://doi.org/10.1002/cpa.3160340602
    25 https://doi.org/10.1016/0022-1236(79)90078-8
    26 https://doi.org/10.1016/b978-0-12-067570-8.50029-9
    27 https://doi.org/10.1016/s1874-575x(02)80013-3
    28 https://doi.org/10.1017/s0143385700001723
    29 https://doi.org/10.1017/s0143385700003382
    30 https://doi.org/10.1017/s0143385700008282
    31 https://doi.org/10.1017/s0143385705000428
    32 https://doi.org/10.1090/advsov/016.1/03
    33 https://doi.org/10.1090/s0002-9947-99-02224-2
    34 https://doi.org/10.1090/s0273-0979-1985-15308-x
    35 https://doi.org/10.1215/00127094-2009-023
    36 https://doi.org/10.1215/s0012-7094-02-11314-3
    37 https://doi.org/10.1215/s0012-7094-03-11932-8
    38 https://doi.org/10.1215/s0012-7094-04-12334-6
    39 https://doi.org/10.1215/s0012-7094-06-13533-0
    40 https://doi.org/10.1215/s0012-7094-07-13626-3
    41 https://doi.org/10.1215/s0012-7094-84-05110-x
    42 https://doi.org/10.1215/s0012-7094-90-06129-0
    43 https://doi.org/10.1215/s0012-7094-91-06311-8
    44 https://doi.org/10.1215/s0012-7094-93-07107-4
    45 https://doi.org/10.1215/s0012-7094-93-07108-6
    46 https://doi.org/10.1215/s0012-7094-95-07710-2
    47 https://doi.org/10.1215/s0012-7094-97-09005-0
    48 https://doi.org/10.1353/ajm.0.0034
    49 https://doi.org/10.1515/crll.1988.387.97
    50 https://doi.org/10.2307/120997
    51 https://doi.org/10.2307/1970359
    52 https://doi.org/10.2307/2007014
    53 https://doi.org/10.2307/2007030
    54 https://doi.org/10.2307/2373666
    55 https://doi.org/10.2307/2661380
    56 https://doi.org/10.2307/2944357
    57 https://doi.org/10.4007/annals.2010.172.989
    58 https://doi.org/10.4064/-23-1-399-409
    59 https://doi.org/10.4171/022-2/19
    60 https://doi.org/10.4310/mrl.1998.v5.n3.a5
    61 https://doi.org/10.4310/pamq.2006.v2.n1.a10
    62 https://doi.org/10.5802/aif.2738
    63 schema:datePublished 2009-07
    64 schema:datePublishedReg 2009-07-01
    65 schema:description We prove effective equidistribution, with polynomial rate, for large closed orbits of semisimple groups on homogeneous spaces, under certain technical restrictions (notably, the acting group should have finite centralizer in the ambient group). The proofs make extensive use of spectral gaps, and also of a closing lemma for such actions.
    66 schema:genre research_article
    67 schema:inLanguage en
    68 schema:isAccessibleForFree true
    69 schema:isPartOf N0d44b4cf408d41b6afbf62ebb815252d
    70 N3603ad2130e449f3b43e69d2aea6a528
    71 sg:journal.1136369
    72 schema:name Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces
    73 schema:pagination 137-212
    74 schema:productId N71d6a625cff240c8bd6c538a0255860d
    75 Nb5ecd0ee75024461ac5e40bef6415929
    76 Nee94ff3a7c0e442cbad01b14add03416
    77 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021515131
    78 https://doi.org/10.1007/s00222-009-0177-7
    79 schema:sdDatePublished 2019-04-11T14:27
    80 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    81 schema:sdPublisher Ne431eac1c0234f1eaa3775a5cc996f48
    82 schema:url http://link.springer.com/10.1007/s00222-009-0177-7
    83 sgo:license sg:explorer/license/
    84 sgo:sdDataset articles
    85 rdf:type schema:ScholarlyArticle
    86 N0d44b4cf408d41b6afbf62ebb815252d schema:volumeNumber 177
    87 rdf:type schema:PublicationVolume
    88 N32860cf8d2cc4db4bc28532807da407d rdf:first sg:person.013016463471.28
    89 rdf:rest rdf:nil
    90 N3603ad2130e449f3b43e69d2aea6a528 schema:issueNumber 1
    91 rdf:type schema:PublicationIssue
    92 N6724a8701ed64794a7a9e16fee35dc88 rdf:first sg:person.07530715115.19
    93 rdf:rest Neeb8b27cb1e14d0295f74548ae306aad
    94 N71d6a625cff240c8bd6c538a0255860d schema:name doi
    95 schema:value 10.1007/s00222-009-0177-7
    96 rdf:type schema:PropertyValue
    97 Nb5ecd0ee75024461ac5e40bef6415929 schema:name readcube_id
    98 schema:value 6682451e75e37cdc7ff5993f875eece2ab210e9e5dd98b6d1a906372e4de388d
    99 rdf:type schema:PropertyValue
    100 Ne431eac1c0234f1eaa3775a5cc996f48 schema:name Springer Nature - SN SciGraph project
    101 rdf:type schema:Organization
    102 Nee94ff3a7c0e442cbad01b14add03416 schema:name dimensions_id
    103 schema:value pub.1021515131
    104 rdf:type schema:PropertyValue
    105 Neeb8b27cb1e14d0295f74548ae306aad rdf:first sg:person.01247226110.63
    106 rdf:rest N32860cf8d2cc4db4bc28532807da407d
    107 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    108 schema:name Mathematical Sciences
    109 rdf:type schema:DefinedTerm
    110 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    111 schema:name Pure Mathematics
    112 rdf:type schema:DefinedTerm
    113 sg:journal.1136369 schema:issn 0020-9910
    114 1432-1297
    115 schema:name Inventiones Mathematicae
    116 rdf:type schema:Periodical
    117 sg:person.01247226110.63 schema:affiliation https://www.grid.ac/institutes/grid.47100.32
    118 schema:familyName Margulis
    119 schema:givenName G.
    120 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01247226110.63
    121 rdf:type schema:Person
    122 sg:person.013016463471.28 schema:affiliation https://www.grid.ac/institutes/grid.168010.e
    123 schema:familyName Venkatesh
    124 schema:givenName A.
    125 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013016463471.28
    126 rdf:type schema:Person
    127 sg:person.07530715115.19 schema:affiliation https://www.grid.ac/institutes/grid.261331.4
    128 schema:familyName Einsiedler
    129 schema:givenName M.
    130 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07530715115.19
    131 rdf:type schema:Person
    132 sg:pub.10.1007/978-94-011-0141-7_8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010144049
    133 https://doi.org/10.1007/978-94-011-0141-7_8
    134 rdf:type schema:CreativeWork
    135 sg:pub.10.1007/bf01231511 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042685737
    136 https://doi.org/10.1007/bf01231511
    137 rdf:type schema:CreativeWork
    138 sg:pub.10.1007/bf01231565 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007331761
    139 https://doi.org/10.1007/bf01231565
    140 rdf:type schema:CreativeWork
    141 sg:pub.10.1007/bf01243900 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041575179
    142 https://doi.org/10.1007/bf01243900
    143 rdf:type schema:CreativeWork
    144 sg:pub.10.1007/bf01388769 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027625864
    145 https://doi.org/10.1007/bf01388769
    146 rdf:type schema:CreativeWork
    147 sg:pub.10.1007/bf01388860 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034702929
    148 https://doi.org/10.1007/bf01388860
    149 rdf:type schema:CreativeWork
    150 sg:pub.10.1007/bf01404653 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050982878
    151 https://doi.org/10.1007/bf01404653
    152 rdf:type schema:CreativeWork
    153 sg:pub.10.1007/bf01444220 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043011648
    154 https://doi.org/10.1007/bf01444220
    155 rdf:type schema:CreativeWork
    156 sg:pub.10.1007/bf01453567 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044453697
    157 https://doi.org/10.1007/bf01453567
    158 rdf:type schema:CreativeWork
    159 sg:pub.10.1007/bf02391906 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034795918
    160 https://doi.org/10.1007/bf02391906
    161 rdf:type schema:CreativeWork
    162 sg:pub.10.1007/bf02399199 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007670884
    163 https://doi.org/10.1007/bf02399199
    164 rdf:type schema:CreativeWork
    165 sg:pub.10.1007/bf02808152 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032991826
    166 https://doi.org/10.1007/bf02808152
    167 rdf:type schema:CreativeWork
    168 sg:pub.10.1007/bf02872005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009146586
    169 https://doi.org/10.1007/bf02872005
    170 rdf:type schema:CreativeWork
    171 sg:pub.10.1007/bfb0062491 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001309388
    172 https://doi.org/10.1007/bfb0062491
    173 rdf:type schema:CreativeWork
    174 sg:pub.10.1007/s00039-006-0583-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013928984
    175 https://doi.org/10.1007/s00039-006-0583-6
    176 rdf:type schema:CreativeWork
    177 sg:pub.10.1007/s00222-002-0253-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003734370
    178 https://doi.org/10.1007/s00222-002-0253-8
    179 rdf:type schema:CreativeWork
    180 sg:pub.10.1007/s00222-007-0077-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044089348
    181 https://doi.org/10.1007/s00222-007-0077-7
    182 rdf:type schema:CreativeWork
    183 sg:pub.10.1007/s002220050350 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016687602
    184 https://doi.org/10.1007/s002220050350
    185 rdf:type schema:CreativeWork
    186 sg:pub.10.1007/s002220100126 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020097129
    187 https://doi.org/10.1007/s002220100126
    188 rdf:type schema:CreativeWork
    189 https://app.dimensions.ai/details/publication/pub.1051172616 schema:CreativeWork
    190 https://doi.org/10.1002/cpa.3160340602 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045806061
    191 rdf:type schema:CreativeWork
    192 https://doi.org/10.1016/0022-1236(79)90078-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007527911
    193 rdf:type schema:CreativeWork
    194 https://doi.org/10.1016/b978-0-12-067570-8.50029-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049645703
    195 rdf:type schema:CreativeWork
    196 https://doi.org/10.1016/s1874-575x(02)80013-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011549173
    197 rdf:type schema:CreativeWork
    198 https://doi.org/10.1017/s0143385700001723 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048109810
    199 rdf:type schema:CreativeWork
    200 https://doi.org/10.1017/s0143385700003382 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053860587
    201 rdf:type schema:CreativeWork
    202 https://doi.org/10.1017/s0143385700008282 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053928131
    203 rdf:type schema:CreativeWork
    204 https://doi.org/10.1017/s0143385705000428 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053862499
    205 rdf:type schema:CreativeWork
    206 https://doi.org/10.1090/advsov/016.1/03 schema:sameAs https://app.dimensions.ai/details/publication/pub.1101567760
    207 rdf:type schema:CreativeWork
    208 https://doi.org/10.1090/s0002-9947-99-02224-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004888519
    209 rdf:type schema:CreativeWork
    210 https://doi.org/10.1090/s0273-0979-1985-15308-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1010568310
    211 rdf:type schema:CreativeWork
    212 https://doi.org/10.1215/00127094-2009-023 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064411170
    213 rdf:type schema:CreativeWork
    214 https://doi.org/10.1215/s0012-7094-02-11314-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064415274
    215 rdf:type schema:CreativeWork
    216 https://doi.org/10.1215/s0012-7094-03-11932-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064415381
    217 rdf:type schema:CreativeWork
    218 https://doi.org/10.1215/s0012-7094-04-12334-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064415454
    219 rdf:type schema:CreativeWork
    220 https://doi.org/10.1215/s0012-7094-06-13533-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064415643
    221 rdf:type schema:CreativeWork
    222 https://doi.org/10.1215/s0012-7094-07-13626-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064415658
    223 rdf:type schema:CreativeWork
    224 https://doi.org/10.1215/s0012-7094-84-05110-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1064419202
    225 rdf:type schema:CreativeWork
    226 https://doi.org/10.1215/s0012-7094-90-06129-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064419631
    227 rdf:type schema:CreativeWork
    228 https://doi.org/10.1215/s0012-7094-91-06311-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064419681
    229 rdf:type schema:CreativeWork
    230 https://doi.org/10.1215/s0012-7094-93-07107-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064419872
    231 rdf:type schema:CreativeWork
    232 https://doi.org/10.1215/s0012-7094-93-07108-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064419873
    233 rdf:type schema:CreativeWork
    234 https://doi.org/10.1215/s0012-7094-95-07710-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064420054
    235 rdf:type schema:CreativeWork
    236 https://doi.org/10.1215/s0012-7094-97-09005-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064420353
    237 rdf:type schema:CreativeWork
    238 https://doi.org/10.1353/ajm.0.0034 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032625215
    239 rdf:type schema:CreativeWork
    240 https://doi.org/10.1515/crll.1988.387.97 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050755669
    241 rdf:type schema:CreativeWork
    242 https://doi.org/10.2307/120997 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069397470
    243 rdf:type schema:CreativeWork
    244 https://doi.org/10.2307/1970359 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069675688
    245 rdf:type schema:CreativeWork
    246 https://doi.org/10.2307/2007014 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069694778
    247 rdf:type schema:CreativeWork
    248 https://doi.org/10.2307/2007030 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069694794
    249 rdf:type schema:CreativeWork
    250 https://doi.org/10.2307/2373666 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069900202
    251 rdf:type schema:CreativeWork
    252 https://doi.org/10.2307/2661380 schema:sameAs https://app.dimensions.ai/details/publication/pub.1070051018
    253 rdf:type schema:CreativeWork
    254 https://doi.org/10.2307/2944357 schema:sameAs https://app.dimensions.ai/details/publication/pub.1070142665
    255 rdf:type schema:CreativeWork
    256 https://doi.org/10.4007/annals.2010.172.989 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071867291
    257 rdf:type schema:CreativeWork
    258 https://doi.org/10.4064/-23-1-399-409 schema:sameAs https://app.dimensions.ai/details/publication/pub.1092029085
    259 rdf:type schema:CreativeWork
    260 https://doi.org/10.4171/022-2/19 schema:sameAs https://app.dimensions.ai/details/publication/pub.1087826830
    261 rdf:type schema:CreativeWork
    262 https://doi.org/10.4310/mrl.1998.v5.n3.a5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072461891
    263 rdf:type schema:CreativeWork
    264 https://doi.org/10.4310/pamq.2006.v2.n1.a10 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072463434
    265 rdf:type schema:CreativeWork
    266 https://doi.org/10.5802/aif.2738 schema:sameAs https://app.dimensions.ai/details/publication/pub.1073138551
    267 rdf:type schema:CreativeWork
    268 https://www.grid.ac/institutes/grid.168010.e schema:alternateName Stanford University
    269 schema:name Department of Mathematics, Stanford University, 94305, Stanford, CA, USA
    270 rdf:type schema:Organization
    271 https://www.grid.ac/institutes/grid.261331.4 schema:alternateName The Ohio State University
    272 schema:name Department of Mathematics, The Ohio State University, 231 West 18th Avenue, 43210-1174, Columbus, OH, USA
    273 rdf:type schema:Organization
    274 https://www.grid.ac/institutes/grid.47100.32 schema:alternateName Yale University
    275 schema:name Department of Mathematics, Yale University, 10 Hillhouse Ave., 06520-8283, New Haven, CT, USA
    276 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...