Equivalence of equicontinuity concepts for Markov operators derived from a Schur-like property for spaces of measures
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Publication:826714
DOI10.1016/j.spl.2020.108964zbMath1467.46024OpenAlexW3092736875MaRDI QIDQ826714
Tomasz Szarek, Daniël T. H. Worm, Sander Cornelis Hille, Maria Aleksandra Ziemlańska
Publication date: 6 January 2021
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spl.2020.108964
Ergodic theorems, spectral theory, Markov operators (37A30) Convergence of probability measures (60B10) Applications of functional analysis in probability theory and statistics (46N30) Spaces of measures (46E27) Transition functions, generators and resolvents (60J35)
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The e-property of asymptotically stable Markov semigroups, Minimal acceleration for the multi-dimensional isentropic Euler equations
Cites Work
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- Uniform spaces and measures
- Existence of a unique invariant measure for a class of equicontinuous Markov operators with application to a stochastic model for an autoregulated gene
- Structured populations, cell growth and measure valued balance laws
- Markov chains and stochastic stability
- Time-evolving measures and macroscopic modeling of pedestrian flow
- Embedding of semigroups of Lipschitz maps into positive linear semigroups on ordered Banach spaces generated by measures
- Lower bound technique in the theory of a stochastic differential equation
- On ergodicity of some Markov processes
- On asymptotic proximity of distributions
- Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities
- Measures as functionals on uniformly continuous functions
- A criterion on asymptotic stability for partially equicontinuous Markov operators
- Asymptotic behavior of successive iterates of continuous functions under a Markov operator
- Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
- Measure-valued solutions for a hierarchically size-structured population
- Continuity properties of Markov semigroups and their restrictions to invariant \(L^{1}\)-spaces
- Measure-Valued Mass Evolution Problems with Flux Boundary Conditions and Solution-Dependent Velocities
- Ergodic measures of Markov semigroups with the e-property
- Central Limit Theorem for some non-stationary Markov chains
- Equicontinuity and Stability Properties of Markov Chains Arising from Iterated Function Systems on Polish Spaces