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- W1832097516 abstract "This paper introduces a geometric method for proving ergodicity of degenerate noise driven stochastic processes. The driving noise is assumed to be an arbitrary Levy process with non-degenerate diffusion component (but that may be applied to a single degree of freedom of the system). The geometric conditions are the approximate controllability of the process the fact that there exists a point in the phase space where the interior of the image of a point via a secondarily randomized version of the driving noise is non void. The paper applies the method to prove ergodicity of a sliding disk governed by Langevin-type equations (a simple stochastic rigid body system). The paper shows that a key feature of this Langevin process is that even though the diffusion and drift matrices associated to the momentums are degenerate, the system is still at uniform temperature." @default.
- W1832097516 created "2016-06-24" @default.
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- W1832097516 date "2013-04-10" @default.
- W1832097516 modified "2023-09-27" @default.
- W1832097516 title "Ergodicity of Langevin Processes with Degenerate Diffusion in Momentums" @default.
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