Stability estimates of Markov semigroups on abstract states spaces

DOI10.1007/s00009-020-1475-yzbMath1442.47031OpenAlexW3007709047MaRDI QIDQ2310426

Farrukh Mukhamedov, Nazife Erkurşun Özcan

Publication date: 6 April 2020

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-020-1475-y

zbMATH Keywords

perturbation boundergodicity coefficient\(C_0\)-Markov semigroupuniform asymptotically stable

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) Markov semigroups and applications to diffusion processes (47D07) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (2)

Generalized Dobrushin coefficients on Banach spaces ⋮ Uniform ergodicities of Markov semigroups on abstract states spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniform stability and weak ergodicity of nonhomogeneous Markov chains defined on ordered Banach spaces with a base
• Ergodic properties of nonhomogeneous Markov chains defined on ordered Banach spaces with a base
• Dobrushin's ergodicity coefficient for Markov operators on cones
• On perturbed substochastic semigroups in abstract state spaces
• Positive one-parameter semigroups on ordered Banach spaces
• Non-spectral asymptotic analysis of one-parameter operator semigroups
• Ergodic theorems. With a supplement by Antoine Brunel
• Relative entropy under mappings by stochastic matrices
• Positive operators on Banach spaces ordered by strongly normal cones
• Uniform ergodicity of Lotz-Räbiger nets of Markov operators on abstract state spaces
• The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains
• Stability of local quantum dissipative systems
• Perturbation theory for parent Hamiltonians of matrix product states
• Non-negative matrices and Markov chains.
• A short course on operator semigroups
• Ordered linear spaces
• Remarks on uniform ergodic theorems
• Hilbert's projective metric in quantum information theory
• Ergodicity Coefficients Defined by Vector Norms
• Convergence of iterates of linear operators and the Kelisky–Rivlin type theorems
• A base norm space whose cone is not 1-generating
• Uniqueness regime for Markov dynamics on quantum lattice spin systems
• Asymptotic Periodicity of the Iterates of Markov Operators
• Inequalities in Theorems of Ergodicity and Stability for Markov Chains with Common Phase Space. I
• Ergodicity coefficient and perturbation bounds for continuous-time Markov chains
• A new way of constructing examples in operator ergodic theory
• Stability and exponential convergence of continuous-time Markov chains
• Perturbation bounds for quantum Markov processes and their fixed points
• Rapid mixing implies exponential decay of correlations
• Stability Estimates for Finite Homogeneous Continuous-time Markov Chains
• Sensitivity and convergence of uniformly ergodic Markov chains
• On the Uniform Ergodic Theorem
• Asymptotic properties of the iterates of stochastic operators on (AL) Banach lattices

This page was built for publication: Stability estimates of Markov semigroups on abstract states spaces