5 papers
Large Deviations in Switching Diffusion: from Free Cumulants to Dynamical Transitions
Mathis Guéneau, Satya N. Majumdar, Gregory Schehr
We study the diffusion of a particle with a time-dependent diffusion constant that switches between random values drawn from a distribution at a fixed rate . Using…
Run-and-tumble particle in one-dimensional potentials: mean first-passage time and applications
Mathis Guéneau, Satya N. Majumdar, Gregory Schehr
We study a one-dimensional run-and-tumble particle (RTP), which is a prototypical model for active system, moving within an arbitrary external potential. Using backward Fokker-Plan…
Siegmund duality for physicists: a bridge between spatial and first-passage properties of continuous and discrete time stochastic processes
Mathis Guéneau, Léo Touzo
We consider a generic one-dimensional stochastic process , or a random walk , which describes the position of a particle evolving inside an interval , with absorb…
Relating absorbing and hard wall boundary conditions for a one-dimensional run-and-tumble particle
Mathis Guéneau, Léo Touzo
The connection between absorbing boundary conditions and hard walls is well established in the mathematical literature for a variety of stochastic models, including for instance th…
Optimal mean first-passage time of a run-and-tumble particle in a class of one-dimensional confining potentials
Mathis Guéneau, Satya N. Majumdar, Gregory Schehr
We consider a run-and-tumble particle (RTP) in one dimension, subjected to a telegraphic noise with a constant rate , and in the presence of an external confining potential $V(x…