Note on time evolution of non-Markov processes View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

1978-02

AUTHORS

P. Hanggi, H. Thomas, H. Grabert, P. Talkner

ABSTRACT

We discuss the question of the construction of a linear semigroup for the time evolution of the single-event probabilities of general non-Markov processes. It is shown that such a linear semigroup may not exist for all finite times. The consequences are sketched for the description of equilibrium and nonequilibrium systems. Further, the relationship with nonstationary Markov processes is investigated, and some confusion in recent works is cleared up using the example of free Brownian motion. More... »

PAGES

155-159

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01014306

DOI

http://dx.doi.org/10.1007/bf01014306

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1049513805


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