Time Reversal of diffusion processes under a finite entropy condition
From MaRDI portal
Publication:6147690
DOI10.1214/22-aihp1320zbMath1530.60069arXiv2104.07708OpenAlexW3155914913MaRDI QIDQ6147690
Patrick Cattiaux, Ivan Gentil, Christian Léonard, Giovanni Conforti
Publication date: 16 January 2024
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.07708
relative entropydiffusion processrandom walktime-reversalstochastic derivativeentropic optimal transport
Continuous-time Markov processes on general state spaces (60J25) Diffusion processes (60J60) Optimal transportation (49Q22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A trajectorial interpretation of the dissipations of entropy and Fisher information for stochastic differential equations
- On the relation between optimal transport and Schrödinger bridges: a stochastic control viewpoint
- The adjoint Markoff process
- Time reversal of diffusions
- About the analogy between optimal transport and minimal entropy
- Integration by parts and time reversal for diffusion processes
- Trajectorial dissipation and gradient flow for the relative entropy in Markov chains
- Fokker-Planck equations with terminal condition and related McKean probabilistic representation
- Time reversal of Markov processes with jumps under a finite entropy condition
- A fully backward representation of semilinear PDEs applied to the control of thermostatic loads in power systems
- Feynman-Kac formula under a finite entropy condition
- The mean field Schrödinger problem: ergodic behavior, entropy estimates and functional inequalities
- An entropic interpolation proof of the HWI inequality
- Zur Umkehrbarkeit der statistischen Naturgesetze
- Girsanov Theory Under a Finite Entropy Condition
- An Optimal Transport View of Schrödinger's Equation
- An Application of Flows to Time Shift and Time Reversal in Stochastic Processes
- Variational processes and stochastic versions of mechanics
- Large deviations, free energy functional and quasi-potential for a mean field model of interacting diffusions
- Some Properties of Path Measures
- Large deviations from the mckean-vlasov limit for weakly interacting diffusions
- On the convexity of the entropy along entropic interpolations
- Time Reversions of Markov Processes
- Absolute Continuity of Markov Processes and Generators
- Optimal Transport
- A generalized class of Lyons-Zheng processes
This page was built for publication: Time Reversal of diffusion processes under a finite entropy condition