Continuous dependence of an invariant measure on the jump rate of a piecewise-deterministic Markov process
DOI10.3934/mbe.2020056zbMath1473.60107arXiv1909.05396OpenAlexW2972993275WikidataQ90792378 ScholiaQ90792378MaRDI QIDQ2045762
Hanna Wojewódka-Ściążko, Katarzyna Horbacz, Dawid Czapla, Sander Cornelis Hille
Publication date: 13 August 2021
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.05396
invariant measurerandom dynamical systemcontinuous dependencepiecewise-deterministic Markov processjump rate
Continuous-time Markov processes on general state spaces (60J25) Discrete-time Markov processes on general state spaces (60J05) Biochemistry, molecular biology (92C40)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Limit theorems for some Markov chains
- Limit theorems for infinite-dimensional piecewise deterministic Markov processes. Applications to stochastic excitable membrane models
- Qualitative properties of certain piecewise deterministic Markov processes
- Existence of a unique invariant measure for a class of equicontinuous Markov operators with application to a stochastic model for an autoregulated gene
- Lotka-Volterra with randomly fluctuating environments or ``how switching between beneficial environments can make survival harder
- Quantitative ergodicity for some switched dynamical systems
- Cell division and the stability of cellular populations
- A useful version of the central limit theorem for a general class of Markov chains
- Ergodic properties of some piecewise-deterministic Markov process with application to gene expression modelling
- Differentiability in perturbation parameter of measure solutions to perturbed transport equation
- Mild solutions to a measure-valued mass evolution problem with flux boundary conditions
- Exponential ergodicity for Markov processes with random switching
- Exponential rate of convergence for some Markov operators
- Persistence of stability for equilibria of map iterations in Banach spaces under small random perturbations
- Law of the iterated logarithm for some Markov operators
- Dynamic Behavior of Stochastic Gene Expression Models in the Presence of Bursting
- Stability and Ergodicity of Piecewise Deterministic Markov Processes
- Exponential ergodicity of some Markov dynamical systems with application to a Poisson-driven stochastic differential equation
- Stability of Piecewise-Deterministic Markov Processes
- Invariant measures for Markov operators with application to function systems
- Random iteration with place dependent probabilities
- Fluctuations in Markov Processes
- Convergence of Baire measures
- Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
- A note on a theorem of Karlin
This page was built for publication: Continuous dependence of an invariant measure on the jump rate of a piecewise-deterministic Markov process