97 citations · 139 across the 10 of their papers we have counts for
11 papers
Linear statistics for Coulomb gases: higher order cumulants
Benjamin De Bruyne, Pierre Le Doussal, Satya N. Majumdar +1
We consider classical particles interacting via the Coulomb potential in spatial dimension and in the presence of an external trap, at equilibrium at inverse temperature $β…
PhD thesis "Extreme value statistics and optimization problems in stochastic processes"
Benjamin De Bruyne
This thesis is devoted to the study of extreme value statistics in stochastic processes and their applications. In the first part, we obtain exact analytical results on the extreme…
Transport properties of diffusive particles conditioned to survive in trapping environments
Gaia Pozzoli, Benjamin De Bruyne
We consider a one-dimensional Brownian motion with diffusion coefficient in the presence of partially absorbing traps with intensity , separated by a distance and ev…
Universal order statistics for random walks & Lévy flights
Benjamin De Bruyne, Satya N. Majumdar, Gregory Schehr
We consider one-dimensional discrete-time random walks (RWs) of steps, starting from , with arbitrary symmetric and continuous jump distributions , including the i…
First-Passage-Driven Boundary Recession
B. De Bruyne, J. Randon-Furling, S. Redner
We investigate a moving boundary problem for a Brownian particle on the semi-infinite line in which the boundary moves by a distance proportional to the time between successive col…
Statistics of the maximum and the convex hull of a Brownian motion in confined geometries
Benjamin De Bruyne, Olivier Bénichou, Satya N. Majumdar +1
We consider a Brownian particle with diffusion coefficient in a -dimensional ball of radius with reflecting boundaries. We study the maximum of the trajectory o…
Resetting in Stochastic Optimal Control
Benjamin De Bruyne, Francesco Mori
``When in a difficult situation, it is sometimes better to give up and start all over again''. While this empirical truth has been regularly observed in a wide range of circumstanc…
Generating stochastic trajectories with global dynamical constraints
Benjamin De Bruyne, Satya N. Majumdar, Henri Orland +1
We propose a method to exactly generate Brownian paths that are constrained to return to the origin at some future time , with a given fixed area $A_f = \int_0^{t_f}d…
Survival probability of random walks leaping over traps
Gaia Pozzoli, Benjamin De Bruyne
We consider one-dimensional discrete-time random walks (RWs) in the presence of finite size traps of length over which the RWs can jump. We study the survival probability of…
Optimization and Growth in First-Passage Resetting
B. De Bruyne, J. Randon-Furling, S. Redner
We combine the processes of resetting and first-passage to define \emph{first-passage resetting}, where the resetting of a random walk to a fixed position is triggered by a first-p…
Optimization in First-Passage Resetting
B. De Bruyne, J. Randon-Furling, S. Redner
We investigate classic diffusion with the added feature that a diffusing particle is reset to its starting point each time the particle reaches a specified threshold. In an infinit…