715 citations · 2.3k across the 43 of their papers we have counts for
43 papers
The cost of resetting discrete-time random walks
John C. Sunil, Richard A. Blythe, Martin R. Evans +1
We consider a discrete-time continuous-space random walk, with a symmetric jump distribution, under stochastic resetting. Associated with the random walker are cost functions for j…
Minimizing the Profligacy of Searches with Reset
John C. Sunil, Richard A. Blythe, Martin R. Evans +1
We introduce the profligacy of a search process as a competition between its expected cost and the probability of finding the target. The arbiter of the competition is a parameter…
The cost of stochastic resetting
John C. Sunil, Richard A. Blythe, Martin R. Evans +1
Resetting a stochastic process has been shown to expedite the completion time of some complex tasks, such as finding a target for the first time. Here we consider the cost of reset…
Self-contained Beta-with-Spikes Approximation for Inference Under a Wright-Fisher Model
Juan Guerrero Montero, Richard A. Blythe
We construct a reliable estimation of evolutionary parameters within the Wright-Fisher model, which describes changes in allele frequencies due to selection and genetic drift, from…
From a microscopic solution to a continuum description of active particles with a recoil interaction in one dimension
Matthew J Metson, Martin R Evans, Richard A Blythe
We consider a model system of persistent random walkers that can jam, pass through each other or jump apart (recoil) on contact. In a continuum limit, where particle motion between…
Tuning attraction and repulsion between active particles through persistence
Matthew J Metson, Martin R Evans, Richard A Blythe
We consider the interplay between persistent motion, which is a generic property of active particles, and a recoil interaction which causes particles to jump apart on contact. The…