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Functional Inequalities for Markov semigroups

, 2006
In these notes, we describe some of the most interesting inequalities related to Markov semigroups, namely spectral gap inequalities, Logarithmic Sobolev inequalities and Sobolev inequalities. We show different aspects of their meanings and applications, and then describe some tools used to establish them in various situations.
openaire   +1 more source

Characterisation of gradient flows for a given functional. [PDF]

Calc Var Partial Differ Equ
Brooks M, Maas J.
europepmc   +1 more source

Modeling of Chemical Reaction Systems with Detailed Balance Using Gradient Structures. [PDF]

J Stat Phys, 2020
Maas J, Mielke A.
europepmc   +1 more source

Ornstein-Uhlenbeck semigroups in infinite dimension. [PDF]

Philos Trans A Math Phys Eng Sci, 2020
Lunardi A, Pallara D.
europepmc   +1 more source

Evolution problems with perturbed 1-Laplacian type operators on random walk spaces. [PDF]

Math Ann
Górny W, Mazón JM, Toledo J.
europepmc   +1 more source

Semigroups for dynamical processes on metric graphs. [PDF]

Philos Trans A Math Phys Eng Sci, 2020
Kramar Fijavž M, Puchalska A.
europepmc   +1 more source

Accelerated First-Passage Dynamics in a Non-Markovian Feedback Ornstein-Uhlenbeck Process. [PDF]

J Stat Phys
Coghi F, Duvezin R, Wettlaufer JS.
europepmc   +1 more source

A stochastic SIRS epidemic model with non-monotone incidence rate under regime-switching. [PDF]

J Franklin Inst, 2019
Lan G, Lin Z, Wei C, Zhang S.
europepmc   +1 more source

Non-commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems. [PDF]

J Stat Phys, 2020
Carlen EA, Maas J.
europepmc   +1 more source

Markov numbers of semigroups

Oleg Karpenkov, Yefei Ma
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