Existence, uniqueness and exponential ergodicity under Lyapunov conditions for McKean-Vlasov SDEs with Markovian switching
From MaRDI portal
Publication:2172465
DOI10.1016/j.jde.2022.07.035zbMath1497.60113arXiv2202.00427OpenAlexW4221148343MaRDI QIDQ2172465
Publication date: 15 September 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.00427
Diffusion processes (60J60) Continuous-time Markov processes on discrete state spaces (60J27) Exponential stability (93D23) Stability theory for random and stochastic dynamical systems (37H30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic coupling and a general form of Harris' theorem with applications to stochastic delay equations
- From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE
- Nonlinear reflecting diffusion process, and the propagation of chaos and fluctuations associated
- Mean field games. I: The stationary case
- Mean field games. II: Finite horizon and optimal control
- Mean field games
- Hybrid switching diffusions. Properties and applications
- Distribution dependent SDEs for Landau type equations
- Convergence in variation of solutions of nonlinear Fokker-Planck-Kolmogorov equations to stationary measures
- A general stochastic maximum principle for mean-field controls with regime switching
- On laws of large numbers for systems with mean-field interactions and Markovian switching
- Gradient estimates and exponential ergodicity for mean-field SDEs with jumps
- Exponential ergodicity for Markov processes with random switching
- Mean-field stochastic differential equations and associated PDEs
- Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
- Ergodicity of regime-switching diffusions in Wasserstein distances
- Yet Another Look at Harris’ Ergodic Theorem for Markov Chains
- Strong Solutions and Strong Feller Properties for Regime-Switching Diffusion Processes in An Infinite State Space
- A General Stochastic Maximum Principle for a Markov Regime Switching Jump-Diffusion Model of Mean-Field Type
- On Strong Feller, Recurrence, and Weak Stabilization of Regime-Switching Diffusions
- Regime Switching Stochastic Approximation Algorithms with Application to Adaptive Discrete Stochastic Optimization
- Existence and uniqueness theorems for solutions of McKean–Vlasov stochastic equations
- On Ergodic Properties of Nonlinear Markov Chains and Stochastic McKean--Vlasov Equations
- Large-Population Cost-Coupled LQG Problems With Nonuniform Agents: Individual-Mass Behavior and Decentralized $\varepsilon$-Nash Equilibria
- Optimal Transport