815 citations · 19.9k across the 406 of their papers we have counts for
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Dynamical phase transitions in certain non-ergodic stochastic processes
Yogeesh Reddy Yerrababu, Satya N. Majumdar, Benjamin Guiselin +1
We present a class of stochastic processes in which the large deviation functions of time-integrated observables exhibit singularities that relate to dynamical phase transitions of…
Exact joint distributions of three global characteristic times for Brownian motion
Alexander K. Hartmann, Satya N. Majumdar
We consider three global characteristic times for a one-dimensional Brownian motion in the interval : the occupation time denoting the cumulative tim…
Diffusion with preferential relocation in a confining potential
Denis Boyer, Martin R. Evans, Satya N. Majumdar
We study the relaxation of a diffusive particle confined in an arbitrary external potential and subject to a non-Markovian resetting protocol. With a constant rate , a previous…
Generalized arcsine laws for a sluggish random walker with subdiffusive growth
Giuseppe Del Vecchio Del Vecchio, Satya N. Majumdar
We study a simple one dimensional sluggish random walk model with subdiffusive growth. In the continuum hydrodynamic limit, the model corresponds to a particle diffusing on a line…
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…
The number of minima in random landscapes generated by constrained random walk and Lévy flights: universal properties
Anupam Kundu, Satya N. Majumdar, Gregory Schehr
We provide a uniform framework to compute the exact distribution of the number of minima/maxima in three different random walk landscape models in one dimension. The landscape is g…