66 citations · 192 across the 9 of their papers we have counts for
9 papers
Stochastic synthesis-degradation processes: first-passage properties and connections with resetting
Gabriel Mercado-Vásquez, Denis Boyer
Processes controlled by stochastic synthesis and degradation (SSD) are widespread in biology but their reaction kinetics are not well understood. Using methods borrowed from the th…
Optimizing the random search of a finite-lived target by a Lévy flight
Denis Boyer, Gabriel Mercado-Vásquez, Satya N. Majumdar +1
In many random search processes of interest in chemistry, biology or during rescue operations, an entity must find a specific target site before the latter becomes inactive, no lon…
Reducing mean first passage times with intermittent confining potentials: a realization of resetting processes
Gabriel Mercado-Vásquez, Denis Boyer, Satya N. Majumdar
During a random search, resetting the searcher's position from time to time to the starting point often reduces the mean completion time of the process. Although many different res…
Freezing transitions of Brownian particles in confining potentials
Gabriel Mercado-Vásquez, Denis Boyer, Satya N. Majumdar
We study the mean first passage time (MFPT) to an absorbing target of a one-dimensional Brownian particle subject to an external potential in a finite domain. We focus on th…
Search of stochastically gated targets with diffusive particles under resetting
Gabriel Mercado-Vásquez, Denis Boyer
The effects of Poissonian resetting at a constant rate on the reaction time between a Brownian particle and a stochastically gated target are studied. The target switches betwe…
First hitting times between a run-and-tumble particle and a stochastically-gated target
Gabriel Mercado-Vásquez, Denis Boyer
We study the first hitting time statistics between a one-dimensional run-and-tumble particle and a target site that switches intermittently between visible and invisible phases. Th…
Intermittent resetting potentials
Gabriel Mercado-Vásquez, Denis Boyer, Satya N. Majumdar +1
We study the non-equilibrium steady states and first passage properties of a Brownian particle with position subject to an external confining potential of the form ,…
First hitting times to intermittent targets
Gabriel Mercado-Vásquez, Denis Boyer
In noisy environments such as the cell, many processes involve target sites that are often hidden or inactive, and thus not always available for reaction with diffusing entities. T…
Lotka-Volterra systems with stochastic resetting
Gabriel Mercado-Vásquez, Denis Boyer
We study the dynamics of predator-prey systems where prey are confined to a single region of space and where predators move randomly according to a power-law (Lévy) dispersal kerne…