16 papers
Universality in the target arrival statistics of non-conservative search processes
José Giral-Barajas, Samantha Linn, Paul C. Bressloff
Stochastic search processes in which searchers are continuously introduced to and removed from a target search domain are fundamental to a wide class of physical and artificial sys…
Global resetting and emergent correlations: exit statistics in an interval
Paul C Bressloff
There is considerable current interest in the emergence of statistical correlations within a population of otherwise non-interacting Brownian particles subject to a common fluctuat…
Resetting-induced instability in queues fed by a search process in an interval
José Giral-Barajas, Paul C. Bressloff
Proper management of resources whose arrival and consumption are subject to environmental randomness is an intrinsic process in both natural and artificial systems. This phenomenon…
Renewal theory for a run-and-tumble particle with stochastic resetting and a sticky boundary
Paul C Bressloff, Samantha Linn
We consider a run-and-tumble particle (RTP) with stochastic resetting confined to the half line with a sticky boundary at . In the bulk the RTP tumbles at a const…
Renewal theory for Brownian motion across a stochastically gated interface
Paul C Bressloff
Stochastically gated interfaces play an important role in a variety of cellular diffusion processes. Examples include intracellular transport via stochastically gated ion channels…
Renewal theory for Brownian motion with stochastically gated targets
Paul C Bressloff
There are a wide range of first passage time (FPT) problems in the physical and life sciences that can be modelled in terms of a Brownian particle binding to a reactive surface (ab…