Densities for piecewise deterministic Markov processes with boundary

DOI10.1016/j.jmaa.2019.06.032zbMath1493.47122arXiv1906.05610OpenAlexW2951880607MaRDI QIDQ2320087

Piotr Gwiżdż, Marta Tyran-Kamińska

Publication date: 21 August 2019

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

Full work available at URL: https://arxiv.org/abs/1906.05610

zbMATH Keywords

initial-boundary value problemtransport equationinvariant densitysubstochastic semigroupperturbation of boundary conditionscell cycle model

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory in probability theory and statistics (47N30)

Related Items (2)

Diffusion approximation for a simple kinetic model with asymmetric interface ⋮ Averaging for slow–fast piecewise deterministic Markov processes with an attractive boundary

Cites Work

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• On time reversal of piecewise deterministic Markov processes
• Unbounded perturbations of the generator domain
• Qualitative properties of certain piecewise deterministic Markov processes
• Perturbation of analytic semigroups and applications to partial differential equations
• Asymptotic stability in a generalized probabilistic/deterministic model of the cell cycle
• A new approach to transport equations associated to a regular field: Trace results and well-posedness
• Substochastic semigroups for transport equations with conservative boundary conditions
• Existence of invariant densities for semiflows with jumps
• Asymptotic decomposition of substochastic operators and semigroups
• Substochastic semigroups and densities of piecewise deterministic Markov processes
• Cell growth and division: a deterministic/probabilistic model of the cell cycle
• Boundary value problems in abstract kinetic theory
• Abstract time-dependent transport equations
• The statistical dynamics of recurrent biological events
• The Boltzmann equation and its applications
• On resolvent positive operators and positive \(C_ 0\)-semigroups on AL- spaces
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• On perturbations of generators of \(C_0\)-semigroups
• Invariant density and time asymptotics for collisionless kinetic equations with partly diffuse boundary operators
• Positive semigroups and perturbations of boundary conditions
• Exponential ergodicity for Markov processes with random switching
• Piecewise deterministic processes in biological models
• On asymptotic stability and sweeping of collisionless kinetic equations
• Threshold dynamics and ergodicity of an SIRS epidemic model with Markovian switching
• Semigroup generation properties of streaming operators with noncontractive boundary conditions
• On the semi-group generated by Kolmogoroff's differential equations
• Piecewise Deterministic Markov Processes in Biological Models
• Stationary distributions for piecewise-deterministic Markov processes
• Stability and Ergodicity of Piecewise Deterministic Markov Processes
• On substochastic C₀-semigroups and their generators
• One-Parameter Semigroups for Linear Evolution Equations
• Probabilistic and Piecewise Deterministic models in Biology
• Resolvent Positive Operators
• On transport equations driven by a non‐divergence‐free force field
• Markov operators defined by Volterra type integrals with advanced argument

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