42 citations · 48 across the 4 of their papers we have counts for
4 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…
Stochastic Resetting and Large Deviations
Martin R. Evans, John C. Sunil
Stochastic resetting has been a subject of considerable interest within statistical physics, both as means of improving completion times of complex processes such as searches and a…
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…