This book gives an exposition of the principal concepts and results related to second order
elliptic and parabolic equations for measures, the main examples of which are Fokker …

Now back in print by the AMS, this is a significantly revised edition of a book originally
published in 1987 by Academic Press. This book gives the reader an introduction to the …

This survey gives an account of the state of the art of the theory of Ornstein–Uhlenbeck
operators and semigroups. The domains of definition and the spectra of such operators are …

We estimate the total variation and Kantorovich distances between transition probabilities of
two diffusions with different diffusion matrices and drifts via a natural quadratic distance …

Principal feature detection via phi-Sobolev inequalities Page 1 Bernoulli 30(4), 2024, 2979–3003
https://doi.org/10.3150/23-BEJ1702 Principal feature detection via φ-Sobolev inequalities …

We investigate the existence of steady states and exponential decay for hypocoercive
Fokker--Planck equations on the whole space with drift terms that are linear in the position …

The classical Bakry-Émery calculus is extended to study, for degenerated (non-elliptic, non-
reversible, or non-diffusive) Markov processes, questions such as hypoellipticity …

Этот обзор посвящен современному состоянию теории операторов и полугрупп
Орнштейна–Уленбека, в том числе сравнительно недавним достижениям и открытым …

Quantitative long-time entropic convergence and short-time regularization are established
for an idealized Hamiltonian Monte Carlo chain which alternatively follows an Hamiltonian …

We consider three classes of linear non-symmetric Fokker-Planck equations having a
unique steady state and establish exponential convergence of solutions towards the steady …