2 papers
cond-mat.stat-mech2025
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…
cond-mat.stat-mech2024
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…