5 papers
Search at bounded speed with immigration
Hwai-Ray Tung, Sean D Lawley
Many biophysical search processes employ searchers which enter or "immigrate" into the domain progressively over time. Existing search time estimates can become unphysical for fast…
Stochastic search with space-dependent diffusivity
Hwai-Ray Tung, Sean D Lawley
The canonical model of stochastic search tracks a randomly diffusing "searcher" until it finds a "target." Owing to its many applications across science and engineering, this peren…
Escape from heterogeneous diffusion
Hwai-Ray Tung, Sean D Lawley
Many physical processes depend on the time it takes a diffusing particle to find a target. Though this classical quantity is now well-understood in various scenarios, little is kno…
Passage times of fast inhomogeneous immigration processes
Hwai-Ray Tung, Sean D Lawley
In many biophysical systems, key events are triggered when the fastest of many random searchers find a target. Most mathematical models of such systems assume that all searchers ar…
First passage times with fast immigration
Hwai-Ray Tung, Sean D Lawley
Many scientific questions can be framed as asking for a first passage time (FPT), which generically describes the time it takes a random "searcher" to find a "target." The importan…