4 citations · 13 across the 6 of their papers we have counts for
6 papers
Dissipative dynamics for infinite lattice systems
Shreya Mehta, Boguslaw Zegarlinski
We study dissipative dynamics constructed by means of non-commutative Dirichlet forms for various lattice systems with multiparticle interactions associated to CCR algebras. We giv…
Markov semigroups with hypocoercive-type generator in Infinite Dimensions II: Applications
V. Kontis, M. Ottobre, B. Zegarlinski
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…
Markov semigroups with hypocoercive-type generator in Infinite Dimensions: Ergodicity and Smoothing
V. Kontis, M. Ottobre, B. Zegarlinski
We start by considering infinite dimensional Markovian dynamics in R^m generated by operators of hypocoercive type and for such models we obtain short and long time pointwise estim…
Conservative interacting particles system with anomalous rate of ergodicity
Zdzislaw Brzeźniak, Franco Flandoli, Misha Neklyudov +1
We analyze certain conservative interacting particle system and establish ergodicity of the system for a family of invariant measures. Furthermore, we show that convergence rate to…
Ergodicity for infinite particle systems with locally conserved quantities
J. Inglis, M. Neklyudov, B. Zegarlinski
We analyse certain degenerate infinite dimensional sub-elliptic generators, and obtain estimates on the long-time behaviour of the corresponding Markov semigroups that describe a c…
From U-bounds to isoperimetry with applications to H-type groups
J. Inglis, V. Kontis, B. Zegarlinski
In this paper we study applications of U-bounds to coercive and isoperimetric problems for probability measures on finite and infinite products of H-type groups.