Singularities of Invariant Densities for Random Switching between Two Linear ODEs in 2D
DOI10.1137/20M1364345zbMath1483.37062arXiv2009.01299OpenAlexW3206902949MaRDI QIDQ5860631
Sean D. Lawley, Tobias Hurth, Yu. Yu. Bakhtin, Jonathan C. Mattingly
Publication date: 22 November 2021
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.01299
Continuous-time Markov processes on general state spaces (60J25) Stochastic stability in control theory (93E15) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Generation, random and stochastic difference and differential equations (37H10) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Stability theory for random and stochastic dynamical systems (37H30)
Cites Work
- Unnamed Item
- Qualitative properties of certain piecewise deterministic Markov processes
- Gene expression dynamics in randomly varying environments
- Quantitative ergodicity for some switched dynamical systems
- Hybrid switching diffusions. Properties and applications
- Non-equilibrium thermodynamics of piecewise deterministic Markov processes
- Dynamically active compartments coupled by a stochastically gated gap junction
- The birth of random evolutions
- Boundary Value Problems for Statistics of Diffusion in a Randomly Switching Environment: PDE and SDE Perspectives
- Stochastic Switching in Infinite Dimensions with Applications to Random Parabolic PDE
- Stochastic switching in biology: from genotype to phenotype
- Invariant densities for dynamical systems with random switching
- Regularity of invariant densities for 1D systems with random switching
- A Probabilistic Analysis of Volume Transmission in the Brain
- Smooth invariant densities for random switching on the torus
- Some simple but challenging Markov processes
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