Markov semigroups with hypocoercive-type generator in Infinite Dimensions II: Applications
V. Kontis, M.Ottobre, B. Zegarlinski
TL;DR
This paper applies a general theory on smoothing and ergodicity of infinite-dimensional Markov systems with hypocoercive generators to specific applications, demonstrating the theory's practical utility.
Contribution
It extends the previous theoretical framework to concrete applications in infinite-dimensional Markov systems, highlighting new insights and results.
Findings
Demonstrates smoothing properties in specific systems
Establishes ergodicity results for new classes of systems
Provides examples illustrating the theory's applicability
Abstract
In this paper we show several applications of the general theory developed in \cite{MV_I}, where we studied smoothing and ergodicity for infinite dimensional Markovian systems with hypocoercive type generator.
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Taxonomy
Topicsadvanced mathematical theories · Stochastic processes and financial applications · Mathematical Dynamics and Fractals