Ergodicity of Markov Semigroups with H\"ormander type generators in Infinite Dimensions
F. Dragoni, V. Kontis, B. Zegarlinski
TL;DR
This paper presents a new strategy for proving strong ergodicity of nonsymmetric Markov semigroups with H"ormander type generators in infinite-dimensional spaces, advancing understanding in stochastic analysis.
Contribution
It introduces an effective method for establishing ergodicity of complex Markov semigroups in infinite-dimensional settings, extending previous finite-dimensional results.
Findings
Proved strong ergodicity for a class of infinite-dimensional Markov semigroups.
Developed a novel approach applicable to nonsymmetric generators.
Enhanced theoretical understanding of stochastic processes in infinite dimensions.
Abstract
We develop an effective strategy for proving strong ergodicity of (nonsymmetric) Markov semigroups associated to H\"ormander type generators when the underlying configuration space is infinite dimensional.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Stochastic processes and financial applications · Stochastic processes and statistical mechanics