Self-stabilizing processes in multi-wells landscape in \(\mathbb{R}^d\)-invariant probabilities
From MaRDI portal
Publication:457091
DOI10.1007/s10959-012-0435-2zbMath1314.60119OpenAlexW1967761535MaRDI QIDQ457091
Publication date: 26 September 2014
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10959-012-0435-2
uniqueness problemstationary measuresgranular media equationfree-energyMcKean-Vlasov stochastic differential equationsself-interacting diffusion
Stationary stochastic processes (60G10) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear parabolic equations (35K55) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Diffusion processes (60J60)
Related Items
Captivity of the solution to the granular media equation ⋮ Phase Transitions in a Kinetic Flocking Model of Cucker--Smale Type ⋮ Coupled McKean–Vlasov diffusions: wellposedness, propagation of chaos and invariant measures ⋮ Stationary solutions of the Vlasov-Fokker-Planck equation: existence, characterization and phase-transition ⋮ Existence and non-uniqueness of stationary distributions for distribution dependent SDEs ⋮ Uniform convergence to equilibrium for granular media ⋮ An elementary approach to uniform in time propagation of chaos ⋮ The Vlasov-Fokker-Planck equation in non-convex landscapes: convergence to equilibrium ⋮ Unnamed Item ⋮ Clamping and Synchronization in the Strongly Coupled FitzHugh--Nagumo Model ⋮ Finiteness of entropy for granular media equations ⋮ A variational approach to nonlinear and interacting diffusions ⋮ Uniform propagation of chaos and creation of chaos for a class of nonlinear diffusions ⋮ An invariance principle for gradient flows in the space of probability measures ⋮ A trajectorial approach to relative entropy dissipation of McKean-Vlasov diffusions: gradient flows and HWBI inequalities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence to the equilibria for self-stabilizing processes in double-well landscape
- Stationary measures for self-stabilizing processes: asymptotic analysis in the small noise limit
- McKean-Vlasov diffusions: from the asynchronization to the synchronization
- Large deviations and a Kramers' type law for self-stabilizing diffusions
- Non-uniqueness of stationary measures for self-stabilizing processes
- Increasing propagation of chaos for mean field models
- A non-Maxwellian steady distribution for one-dimensional granular media
- Convergence to equilibrium for granular media equations and their Euler schemes
- Nonlinear self-stabilizing processes. I: Existence, invariant probability, propagation of chaos
- Nonlinear self-stabilizing processes. II: Convergence to invariant probability
- Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
- Probabilistic approach for granular media equations in the non-uniformly convex case
- A certain class of diffusion processes associated with nonlinear parabolic equations
- On uniqueness of invariant measures for finite- and infinite-dimensional diffusions
- A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS
