Ergodicity of Markov semigroups with Hörmander type generators in infinite dimensions

DOI10.1007/s11118-011-9253-xzbMath1257.47047arXiv1012.0257OpenAlexW2062015167MaRDI QIDQ715735

Federica Dragoni, Vasilis Kontis, Bogusław Zegarliński

Publication date: 31 October 2012

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0257

zbMATH Keywords

Markov semigroupergodicitygradient boundsfinite speed of propagationHörmander operators

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Markov semigroups and applications to diffusion processes (47D07) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Transition functions, generators and resolvents (60J35)

Related Items (13)

Markov semigroups with hypocoercive-type generator in infinite dimensions: ergodicity and smoothing ⋮ Linear and nonlinear dissipative dynamics ⋮ The log-Sobolev inequality with quadratic interactions ⋮ Long- and short-time behaviour of hypocoercive-type operators in infinite dimensions: An analytic approach ⋮ Unadjusted Langevin algorithm with multiplicative noise: total variation and Wasserstein bounds ⋮ Fast Non-mean-field Networks: Uniform in Time Averaging ⋮ The ergodic problem for some subelliptic operators with unbounded coefficients ⋮ Long-time behaviour of degenerate diffusions: UFG-type SDEs and time-inhomogeneous hypoelliptic processes ⋮ Existence of equilibrium for infinite system of interacting diffusions ⋮ Infinite dimensional systems of particles with interactions given by Dunkl operators ⋮ An L2-approximation method for construction and smoothing estimates of Markov semigroups for interacting diffusion processes on a lattice ⋮ Ruelle-Pollicott resonances of stochastic systems in reduced state space. Part I: Theory ⋮ Uniform in time estimates for the weak error of the Euler method for SDEs and a pathwise approach to derivative estimates for diffusion semigroups

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