48 citations · 166 across the 10 of their papers we have counts for
10 papers
Universal fluctuations of first discoveries in competitive exploration
Arthur Plaud, P. L. Krapivsky, S. Redner +1
Random exploration is usually quantified by how fast new space is found, from the range of a single walker to the territory collectively covered by many walkers. In competitive exp…
The Advantage of Foraging Myopically
C. L. Rager, U. Bhat, O. Bénichou +1
We study the dynamics of a \emph{myopic} forager that randomly wanders on a lattice in which each site contains one unit of food. Upon encountering a food-containing site, the fora…
Optimally Frugal Foraging
O. Benichou, U. Bhat, P. L. Krapivsky +1
We introduce the \emph{frugal foraging} model in which a forager performs a discrete-time random walk on a lattice, where each site initially contains food units. The…
Starvation Dynamics of a Greedy Forager
U. Bhat, S. Redner, O. Benichou
We investigate the dynamics of a greedy forager that moves by random walking in an environment where each site initially contains one unit of food. Upon encountering a food-contain…
Does Greed Help a Forager Survive?
U. Bhat, S. Redner, O. Benichou
We investigate the role of greed on the lifetime of a random-walking forager on an initially resource-rich lattice. Whenever the forager lands on a food-containing site, all the fo…
Random Search with Memory in Patchy Media: Exploration-Exploitation Tradeoff
M. Chupeau, O. Benichou, S. Redner
How to best exploit patchy resources? This long-standing question belongs to the extensively studied class of explore/exploit problems that arise in a wide range of situations, fro…
Role of Depletion on the Dynamics of a Diffusing Forager
O. Bénichou, M. Chupeau, S. Redner
We study the dynamics of a starving random walk in general spatial dimension . This model represents an idealized description for the fate of an unaware forager whose motion is…
Universality classes of foraging with resource renewal
M. Chupeau, O. Bénichou, S. Redner
We determine the impact of resource renewal on the lifetime of a forager that depletes its environment and starves if it wanders too long without eating. In the framework of the mi…
Optimal strategy to capture a skittish lamb wandering near a precipice
M. Chupeau, O. Bénichou, S. Redner
We study the splitting probabilities for a one-dimensional Brownian motion in a cage whose two boundaries move at constant speeds and . This configuration corresponds to…
Depletion-Controlled Starvation of a Diffusing Forager
Olivier Benichou, S. Redner
We study the starvation of a lattice random walker in which each site initially contains one food unit and the walker can travel steps without food before starving. W…