Ergodicity of Regime-Switching Functional Diffusions with Infinite Delay and Application to a Numerical Algorithm for Stochastic Optimization
From MaRDI portal
Publication:5103922
DOI10.1137/22M1470050zbMath1497.60114MaRDI QIDQ5103922
Publication date: 9 September 2022
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
stochastic optimizationstrong law of large numbersergodicityinvariant measureregime-switching functional diffusions with infinite delay
Stochastic programming (90C15) Optimal stochastic control (93E20) Diffusion processes (60J60) Stochastic functional-differential equations (34K50)
Related Items (3)
Approximation of invariant measures of a class of backward Euler-Maruyama scheme for stochastic functional differential equations ⋮ Exponential ergodicity for stochastic functional differential equations with Markovian switching ⋮ Limit theorems of additive functionals for regime-switching diffusions with infinite delay
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic functional differential equations with infinite delay: existence and uniqueness of solutions, solution maps, Markov properties, and ergodicity
- Law of large numbers and central limit theorem for randomly forced PDE's
- On competitive Lotka-Volterra model in random environments
- Hybrid switching diffusions. Properties and applications
- Some remarks and examples concerning the transience and recurrence of random diffusions
- Stability of a random diffusion with linear drift
- Convergence, boundedness, and ergodicity of regime-switching diffusion processes with infinite memory
- Limit theorems for additive functionals of stochastic functional differential equations with infinite delay
- Limit theorems for additive functionals of path-dependent SDEs
- Exponential ergodicity for Markov processes with random switching
- Strong ergodicity of the regime-switching diffusion processes
- Transience/recurrence and central limit theorem behavior for diffusions in random temporal environments
- Stability of regime-switching diffusions
- On stability in distribution of stochastic differential delay equations with Markovian switching
- Stability in distribution of stochastic differential delay equations with Markovian switching
- Ergodicity of regime-switching diffusions in Wasserstein distances
- Asymptotic stability in distribution of stochastic differential equations with Markovian switching.
- Long time behavior of diffusions with Markov switching
- Optimal Switching with Constraints and Utility Maximization of an Indivisible Market
- Ergodic Control of Switching Diffusions
- Stability in Distribution of Path-Dependent Hybrid Diffusion
- Stability and Recurrence of Regime-Switching Diffusion Processes
- Invariant Measures and Euler--Maruyama's Approximations of State-Dependent Regime-Switching Diffusions
- Stochastic Differential Equations with Markovian Switching
- Sur deux problèmes de M. Kolmogoroff concernant les chaînes dénombrables
This page was built for publication: Ergodicity of Regime-Switching Functional Diffusions with Infinite Delay and Application to a Numerical Algorithm for Stochastic Optimization