64 citations · 535 across the 76 of their papers we have counts for
9 papers · 1 filter
Accumulation time of diffusion in a 2D singularly perturbed domain
Paul C Bressloff
A general problem of current interest is the analysis of diffusion problems in singularly perturbed domains, within which small subdomains are removed from the domain interior and…
The narrow capture problem with partially absorbing targets and stochastic resetting
Paul C. Bressloff, Ryan D. Schumm
We consider a particle undergoing diffusion with stochastic resetting in a bounded domain $\calU\subset \R^d$ for . The domain is perforated by a set of partially absorbing…
Queuing model of axonal transport
Paul C Bressloff
The motor-driven intracellular transport of vesicles to synaptic targets in the axons and dendrites of neurons plays a crucial role in normal cell function. Moreover, stimulus-depe…
Search processes with stochastic resetting and partially absorbing targets
Ryan D. Schumm, Paul C. Bressloff
We extend the theoretical framework used to study search processes with stochastic resetting to the case of partially absorbing targets. Instead of an absorption event occurring wh…
Accumulation time of stochastic processes with resetting
Paul C Bressloff
One of the characteristic features of a stochastic process under resetting is that the probability density converges to a nonequilibrium stationary state (NESS). In addition, the a…
Drift-diffusion on a Cayley tree with stochastic resetting: the localization-delocalization transition
Paul C Bressloff
In this paper we develop the theory of drift-diffusion on a semi-infinite Cayley tree with stochastic resetting. In the case of a homogeneous tree with a closed terminal node and n…