Equidistribution and Brownian motion on the Sierpiński gasket View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1998-06

AUTHORS

Peter J. Grabner, Robert F. Tichy

ABSTRACT

We introduce several concepts of discrepancy for sequences on the Sierpiński gasket. Furthermore a law of iterated logarithm for the discrepancy of trajectories of Brownian motion is proved. The main tools for this result are regularity properties of the heat kernel on the Sierpiński gasket. Some of the results can be generalized to arbitrary nested fractals in the sense of T. Lindstrøm. More... »

PAGES

147-164

References to SciGraph publications

  • 1992-03. On a spectral analysis for the Sierpinski gasket in POTENTIAL ANALYSIS
  • 1990. Sample path properties of diffusion processes on compact manifolds in NUMBER-THEORETIC ANALYSIS
  • 1971-06. Das Wienersche Maß einer gewissen Menge von Vektorfunktionen in MONATSHEFTE FÜR MATHEMATIK
  • 1960-12. Über C - Gleichwerteilung in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • 1991-02. On eigenvalue problems for the random walks on the Sierpinski pre-gaskets in JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
  • 1989-12. A uniform law of the iterated logarithm for brownian motion on compact Riemannian manifolds in MATHEMATISCHE ZEITSCHRIFT
  • 1989-06. A harmonic calculus on the Sierpinski spaces in JAPAN JOURNAL OF APPLIED MATHEMATICS
  • 1990-02. An inequality for differences of distribution functions in ARCHIV DER MATHEMATIK
  • 1988-11. Brownian motion on the Sierpinski gasket in PROBABILITY THEORY AND RELATED FIELDS
  • Journal

    TITLE

    Monatshefte für Mathematik

    ISSUE

    2

    VOLUME

    125

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01332824

    DOI

    http://dx.doi.org/10.1007/bf01332824

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1012442889


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    133 rdf:type schema:Organization
     




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