Persistence of stability for equilibria of map iterations in Banach spaces under small random perturbations

DOI10.1007/s11118-014-9429-2zbMath1317.37011OpenAlexW2016928179MaRDI QIDQ2512912

Taleb Alkurdi, Onno van Gaans, Sander Cornelis Hille

Publication date: 2 February 2015

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-014-9429-2

zbMATH Keywords

Markov chainMarkov operatorergodic measurestochastic interventions

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Markov semigroups and applications to diffusion processes (47D07) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Ordinary differential equations and systems with randomness (34F05) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Related Items (2)

Continuous dependence of an invariant measure on the jump rate of a piecewise-deterministic Markov process ⋮ The law of the iterated logarithm for a piecewise deterministic Markov process assured by the properties of the Markov chain given by its post-jump locations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Limit theorems for infinite-dimensional piecewise deterministic Markov processes. Applications to stochastic excitable membrane models
• Existence of a unique invariant measure for a class of equicontinuous Markov operators with application to a stochastic model for an autoregulated gene
• Dual semigroups and second order linear elliptic boundary value problems
• Semigroups of linear operators and applications to partial differential equations
• Discrete-time travelling waves: Ecological examples
• Cell division and the stability of cellular populations
• Discrete time semigroup transformations with random perturbations
• Ergodic theory of infinite dimensional systems with applications to dissipative parabolic PDEs
• Delay equations. Functional-, complex-, and nonlinear analysis
• Dispersal and pattern formation in a discrete-time predator-prey model
• Ergodicity and stability of a dynamical system perturbed by impulsive random interventions
• Ergodic measures of Markov semigroups with the e-property
• Semilinear stochastic evolution equations: boundedness, stability and invariant measurest
• Stability and Ergodicity of Piecewise Deterministic Markov Processes
• Markov Chains and Stochastic Stability
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Invariant measures for semilinear stochastic equations
• Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
• One-Parameter Semigroups for Linear Evolution Equations
• Markov operators acting on Polish spaces
• The stability of Markov operators on Polish spaces
• FRACTALS, SEMIFRACTALS AND MARKOV OPERATORS
• LONG TERM BEHAVIOR OF DICHOTOMOUS STOCHASTIC DIFFERENTIAL EQUATIONS IN HILBERT SPACES
• Analytic semigroups and optimal regularity in parabolic problems

This page was built for publication: Persistence of stability for equilibria of map iterations in Banach spaces under small random perturbations