69 citations · 500 across the 43 of their papers we have counts for
5 papers · 1 filter
Competition of many searchers
Sean D Lawley
First passage times (FPTs) are often used to study timescales in physical, chemical, and biological processes. FPTs generically describe the time it takes a random "searcher" to fi…
Cover times of many random walkers on a discrete network
Hyunjoong Kim, Sean D Lawley
The speed of an exhaustive search can be measured by a cover time, which is defined as the time it takes a random searcher to visit every state in some target set. Cover times have…
Cover times of many diffusive or subdiffusive searchers
Hyunjoong Kim, Sean D Lawley
Cover times measure the speed of exhaustive searches which require the exploration of an entire spatial region(s). Applications include the immune system hunting pathogens, animals…
First Hitting Time of a One-Dimensional Levy Flight to Small Targets
Daniel Gomez, Sean D Lawley
First hitting times (FHTs) describe the time it takes a random "searcher" to find a "target" and are used to study timescales in many applications. FHTs have been well-studied for…
First passage times under frequent stochastic resetting
Samantha Linn, Sean D Lawley
We determine the full distribution and moments of the first passage time for a wide class of stochastic search processes in the limit of frequent stochastic resetting. Our results…