1 citations · 3 across the 9 of their papers we have counts for
12 papers
Fundamentals of Potential theory for a hypoelliptic process
Mouad Ramil
This article aims at solving open questions related to the well-posedness of Potential theory objects in a hypoelliptic setting. We provide here the expression of the equilibrium m…
Regular points and the boundary-value problem for a hypoelliptic process in a general smooth domain
Mouad Ramil, Mathias Rousset
We fully describe the set of regular and irregular boundary points for a general hypoelliptic stochastic process absorbed outside a domain . The we…
Eyring-Kramers Law for the Underdamped Langevin Process
Seungwoo Lee, Mouad Ramil, Insuk Seo
Consider the underdamped Langevin process in . We derive the low-temperature asymptotic of its mean-transition time between basins of attract…
Quasi-stationary distribution for kinetic SDEs with low regularity coefficients
Nicolas Champagnat, Tony Lelièvre, Mouad Ramil +2
We consider kinetic SDEs with low regularity coefficients in the setting recently introduced in [6]. For the solutions to such equations, we first prove a Harnack inequality. Using…
Asymptotic stability and cut-off phenomenon for the underdamped Langevin dynamics
Seungwoo Lee, Mouad Ramil, Insuk Seo
In this article, we provide detailed analysis of the long-time behavior of the underdamped Langevin dynamics. We first provide a necessary condition guaranteeing that the zero-nois…
Recent advances in the long-time analysis of killed degenerate processes and their particle approximation
Bertrand Cloez, Lucas Journel, Pierre Monmarché +2
We review some recent results of quantitative long-time convergence for the law of a killed Markov process conditioned to survival toward a quasi-stationary distribution, and on th…
Explicit and sharp two-sided estimates for the killed Langevin process
Mouad Ramil
We prove explicit and sharp two-sided estimates for the transition density of the Langevin process with quadratic potential, killed outside of the position interval (0,1). The long…
Estimation of statistics of transitions and Hill relation for Langevin dynamics
Tony Lelièvre, Mouad Ramil, Julien Reygner
In molecular dynamics, statistics of transitions, such as the mean transition time, are macroscopic observables which provide important dynamical information on the underlying micr…
Overdamped limit at stationarity for non-equilibrium Langevin diffusions
Pierre Monmarché, Mouad Ramil
In this note, we establish that the stationary distribution of a possibly non-equilibrium Langevin diffusion converges, as the damping parameter goes to infinity (or equivalently i…
Quasi-stationary distribution for the Langevin process in cylindrical domains, part II: overdamped limit
Mouad Ramil
Consider the Langevin process, described by a vector (positions and momenta) in . Let be a open bounded and connected…
Quasi-stationary distribution for the Langevin process in cylindrical domains, part I: existence, uniqueness and long-time convergence
Tony Lelièvre, Mouad Ramil, Julien Reygner
Consider the Langevin process, described by a vector (position,momentum) in . Let be a open bounded and connected set…
A probabilistic study of the kinetic Fokker-Planck equation in cylindrical domains
Tony Lelièvre, Mouad Ramil, Julien Reygner
We consider classical solutions to the kinetic Fokker-Planck equation on a bounded domain in position, and we obtain a probabilistic representatio…