Abstract mRNA translation is a crucial process that leads to protein synthesis in living cells.
Therefore, it is a process that needs to work optimally for a cell to stay healthy and alive. With …

We investigate the stationary distribution of asymmetric and weakly asymmetric simple
exclusion processes with open boundaries. We project the stationary distribution onto a …

We study mixing times of the symmetric and asymmetric simple exclusion process on the
segment where particles are allowed to enter and exit at the endpoints. We consider …

These lecture notes, adapted from the habilitation thesis of the author, survey in a first part
various exact results obtained in the past few decades about KPZ fluctuations in one …

The ability of a peer-to-peer (P2P) system to effectively host decentralized applications often
relies on the availability of a peer-sampling service, which provides each participant with a …

Abstract We consider the Symmetric Simple Exclusion Process (SSEP) on the segment with
two reservoirs of densities p, q∈(0, 1) at the two endpoints. We show that the system …

We consider the stationary measure of the asymmetric simple exclusion process (ASEP) on
a finite interval in $\mathbb {Z} $ with open boundaries. Fixing all the jump rates and letting …

We consider mixing times for the open asymmetric simple exclusion process (ASEP) at the
triple point. We show that the mixing time of the open ASEP on a segment of length $ N $ for …

Tau is a microtubule-associated protein (MAP) that is highly expressed in neurons. Recent
in-vitro studies have shown that tau molecules can segregate into cohesive'envelopes' on …

On a finite state space, an irreducible continuous-time Markov chain converges to its unique
stationary measure, or in other words, mixes. The convergence is often measured by the …