Supports of invariant measures for piecewise deterministic Markov processes

DOI10.1088/1361-6544/aa7e94zbMath1384.93025arXiv1604.06219OpenAlexW3101769596MaRDI QIDQ5368876

Ralph Lettau, Michel Benaïm, Fritz Colonius

Publication date: 11 October 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06219

zbMATH Keywords

invariant measurespiecewise deterministic Markov processcontrol sets

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Controllability (93B05) Nonlinear systems in control theory (93C10) Ordinary differential inclusions (34A60)

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Cites Work

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• Qualitative properties of certain piecewise deterministic Markov processes
• Lotka-Volterra with randomly fluctuating environments or ``how switching between beneficial environments can make survival harder
• Recurrence and invariant measures for degenerate diffusions
• Invariance entropy for deterministic control systems. An introduction
• Invariant densities for dynamical systems with random switching
• Near Invariance for Markov Diffusion Systems
• On unique ergodicity for degenerate diffusions
• Topological bifurcations of minimal invariant sets for set-valued dynamical systems
• Near invariance and local transience for random diffeomorphisms
• The dynamics of control. With an appendix by Lars Grüne
• Set-valued analysis

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