Markovian approximation of classical open systems

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Abstract

We discuss exponential convergence to equilibrium for dissipative Markovian systems generated by hypoelliptic non-selfadjoint operators and we present a method to determine the exact rate of convergence to equilibrium. The main example that we will consider is a class of Markovian approximations of the Generalized Langevin equation (GLE).
Original languageEnglish
Title of host publicationNumerical Analysis and Applied Mathematics ICNAAM 2012
Subtitle of host publicationInternational Conference of Numerical Analysis and Applied Mathematics
PublisherAIP Publishing
Pages912-915
Number of pages4
ISBN (Print)9780735410916
DOIs
Publication statusPublished - 26 Sep 2012

Publication series

NameAIP Conference Proceedings
PublisherAIP Publishimg
Number1
Volume1479
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

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