64 citations · 535 across the 76 of their papers we have counts for
8 papers · 1 filter
Run-and-tumble particle with diffusion: boundary local times and the zero-diffusion limit
Paul C Bressloff
Incorporating boundary conditions into stochastic models of passive or active particle motion is usually implemented at the level of the associated forward or backward Kolmogorov e…
Macroscopic fluctuation theory and the absorption of Brownian particles by partially reactive targets
Paul C Bressloff
We use macroscopic fluctuation theory (MFT) to analyse current fluctuations in a non-interacting Brownian gas with one or more partially absorbing targets within a bounded domain $…
Asymptotic analysis of the 2D narrow-capture problem for partially accessible targets
Paul C Bressloff
In this paper we use singular perturbation theory to solve the 2D narrow capture problem for a set of partially accessible targets $\calU_k$, , in a bounded domain $Ω…
Slow-fast systems with stochastic resetting
Paul C Bressloff
In this paper we explore the effects of instantaneous stochastic resetting on a planar slow-fast dynamical system of the form and with .…
Random search with stochastic resetting: when finding the target is not enough
Paul C. Bressloff
In this paper we consider a random search process with stochastic resetting and a partially accessible target $\calU$. That is, when the searcher finds the target by attaching to i…
Diffusion-mediated adsorption versus absorption at partially reactive targets: a renewal approach
Paul C Bressloff
Renewal theory is finding increasing applications in non-equilibrium statistical physics. One example relates the probability density and survival probability of a Brownian particl…