Existence of invariant densities for semiflows with jumps

DOI10.1016/j.jmaa.2015.10.019zbMath1339.60107arXiv1510.03633OpenAlexW2190875877WikidataQ105583674 ScholiaQ105583674MaRDI QIDQ892307

Marta Tyran-Kamińska, Weronika Biedrzycka

Publication date: 18 November 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03633

zbMATH Keywords

dynamical systemsswitchingpiecewise deterministic Markov processesinvariant densitystochastic semigroupgene expression models

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Markov semigroups and applications to diffusion processes (47D07) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Related Items (8)

Self-similar solutions of fragmentation equations revisited ⋮ A model for random fire induced tree-grass coexistence in savannas ⋮ Revisiting the Logistic Growth with Random Disturbances ⋮ Existence of invariant densities and time asymptotics of conservative linear kinetic equations on the torus without spectral gaps ⋮ Convergence rates for semistochastic processes ⋮ Applications of stochastic semigroups to queueing models ⋮ Exponential ergodicity in the bounded-Lipschitz distance for some piecewise-deterministic Markov processes with random switching between flows ⋮ Densities for piecewise deterministic Markov processes with boundary

Cites Work

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• Qualitative properties of certain piecewise deterministic Markov processes
• On the range of the generator of a Markovian semigroup
• Markov chains and stochastic stability
• A perturbation theorem for positive contraction semigroups on \(L^ 1\)-spaces with applications to transport equations and Kolmogorov's differential equations
• Substochastic semigroups and densities of piecewise deterministic Markov processes
• The harmonic functions of mean ergodic Markov semigroups
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• Stability of Markov semigroups and applications to parabolic systems
• Continuous Markov semigroups and stability of transport equations
• Transcriptional stochasticity in gene expression
• Autocatalytic genetic networks modeled by piecewise-deterministic Markov processes
• Asymptotic behavior of distributions of mRNA and protein levels in a model of stochastic gene expression
• Adiabatic reduction of a model of stochastic gene expression with jump Markov process
• On the semi-group generated by Kolmogoroff's differential equations
• Dynamic Behavior of Stochastic Gene Expression Models in the Presence of Bursting
• Invariant densities for dynamical systems with random switching
• Ergodic theorems and perturbations of contraction semigroups
• On Strong Convergence to Ergodic Projection for Perturbed Substochastic Semigroups
• Piecewise Deterministic Markov Processes in Biological Models
• The Dynamics of Enzyme Inhibition Controlled by Piece-Wise Deterministic Markov Process
• Stationary distributions for piecewise-deterministic Markov processes
• Dynamics and density evolution in piecewise deterministic growth processes
• Stability and Ergodicity of Piecewise Deterministic Markov Processes
• On substochastic C₀-semigroups and their generators
• Stability of Piecewise-Deterministic Markov Processes
• Asymptotic Behavior of Stochastic Systems Possessing Markovian Realizations
• On an extension of the Kato-Voigt perturbation theorem for substochastic semigroups and its application
• Molecular distributions in gene regulatory dynamics

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