54 citations · 221 across the 34 of their papers we have counts for
10 papers · 1 filter
Renewal processes with a trap under stochastic resetting
Pascal Grange
Renewal processes are zero-dimensional processes defined by independent intervals of time between zero crossings of a random walker. We subject renewal processes them to stochastic…
Voter model under stochastic resetting
Pascal Grange
The voter model is a toy model of consensus formation based on nearest-neighbor interactions. A voter sits at each vertex in a hypercubic lattice (of dimension ) and is in one o…
Winding number of a Brownian particle on a ring under stochastic resetting
Pascal Grange
We consider a random walker on a ring, subjected to resetting at Poisson-distributed times to the initial position (the walker takes the shortest path along the ring to the initial…
Aggregation with constant kernel under stochastic resetting
Pascal Grange
The model of binary aggregation with constant kernel is subjected to stochastic resetting: aggregates of any size explode into monomers at independent stochastic times. These reset…
Run-and-tumble particles on a line with a fertile site
Pascal Grange, Xueqi Yao
We propose a model of run-and-tumble particles (RTPs) on a line with a fertile site at the origin. After going through the fertile site, a run-and-tumble particle gives rise to new…
Susceptibility to disorder of the optimal resetting rate in the Larkin model of directed polymers
Pascal Grange
We consider the Larkin model of a directed polymer with Gaussian-distributed random forces, with the addition of a resetting process whereby the transverse position of the end-poin…
Entropy barriers and accelerated relaxation under resetting
Pascal Grange
The zero-temperature limit of the backgammon model under resetting is studied. The model is a balls-in-boxes model whose relaxation dynamics is governed by the density of boxes con…
Non-conserving zero-range processes with extensive rates under resetting
Pascal Grange
We consider a non-conserving zero-range process with hopping rate proportional to the number of particles at each site. Particles are added to the system with a site-dependent crea…
Steady states in a non-conserving zero-range process with extensive rates as a model for the balance of selection and mutation
Pascal Grange
We consider a non-conserving zero-range process with hopping rate proportional to the number of particles at each site. Particles are added to the system with a site-dependent crea…
Quantum centipedes with strong global constraint
Pascal Grange
A centipede made of quantum walkers on a one-dimensional lattice is considered. The distance between two consecutive legs is either one or two lattice spacings, and a global co…