Scholars@Duke
Pascal Grange

Pascal Grange

Associate Professor of Mathematics at Duke Kunshan University
DKU Faculty

Selected Publications

Local resetting in non-conserving zero-range processes with extensive rates

Journal Article Journal of Physics Communications · April 1, 2024 A non-conserving zero-range process with extensive creation, annihilation and hopping rates is subjected to local resetting. The model is formulated on a large, fully-connected network of states. The states are equipped with a (bounded) fitness level: part ... Full text Cite

Voter model under stochastic resetting

Journal Article Journal of Physics A: Mathematical and Theoretical · December 8, 2023 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 d) and is in one of two possible opinion states. The opinion state of each voter flips randomly, ... Full text Cite

Winding number of a Brownian particle on a ring under stochastic resetting

Journal Article Journal of Physics A: Mathematical and Theoretical · April 19, 2022 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 position at resetting times). In the case of a Brownian random walker the m ... Full text Open Access Cite

Run-and-tumble particles on a line with a fertile site

Journal Article Journal of Physics A: Mathematical and Theoretical · August 1, 2021 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 particles until it flips direction. The process of creation of new particle ... Full text Open Access Cite

Aggregation with constant kernel under stochastic resetting

Journal Article Journal of Physics A: Mathematical and Theoretical · July 1, 2021 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 resetting times are Poisson distributed, and the rate of the process is called th ... Full text Cite

Entropy barriers and accelerated relaxation under resetting

Journal Article Journal of Physics A: Mathematical and Theoretical · September 18, 2020 Full text Cite

Susceptibility to disorder of the optimal resetting rate in the Larkin model of directed polymers

Journal Article Journal of Physics Communications · September 17, 2020 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-point of the polymer is reset to zero with constant rate r. We express the avera ... Full text Cite

Non-conserving zero-range processes with extensive rates under resetting

Journal Article Journal of Physics Communications · April 1, 2020 Weconsider 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 creation rate, and vanish with a uniform annihilation rate. On a fully-connected ... Full text Cite

Steady states in a non-conserving zero-range process with extensive rates as a model for the balance of selection and mutation

Journal Article Journal of Physics A: Mathematical and Theoretical · August 13, 2019 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 creation rate, and removed from the system with a uniform annihilation rate. On ... Full text Cite