Math @ Duke
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Publications [#350398] of Matthias Ernst Sachs
Papers Published
- Leimkuhler, B; Sachs, M, Ergodic Properties of Quasi-Markovian Generalized Langevin Equations with Configuration Dependent Noise and Non-conservative Force, edited by Giacomin, G; Olla, S; Saada, E; Spohn, H; Stoltz, G
(2019),
pp. 282-330, Springer International Publishing
(last updated on 2021/08/03)
Abstract: We discuss the ergodic properties of quasi-Markovian stochastic differential equations, providing general conditions that ensure existence and uniqueness of a smooth invariant distribution and exponential convergence of the evolution operator in suitably weighted $$L^\infty $$spaces, which implies the validity of central limit theorem for the respective solution processes. The main new result is an ergodicity condition for the generalized Langevin equation with configuration-dependent noise and (non-)conservative force.
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