41 citations · 76 across the 10 of their papers we have counts for
8 papers · 1 filter
Splitting probabilities for Brownian motion with diffusing boundaries: Application to polymer translocation
Alexander K. Hartmann, Satya N. Majumdar, Alberto Rosso
We study the translocation of a polymer chain through a nanopore where the chain length fluctuates stochastically due to the polymerization-depolymerization processes at the chain…
Random walks in Dirichlet random environment in dimension
Guillaume Barraquand, Alexander K. Hartmann, Pierre Le Doussal
The atypical behaviour of random walks in time-dependent random environment was recently related to Kardar-Parisi-Zhang (KPZ) growth. While this is now well-understood in spatial d…
Diffusion with stochastic resetting on a lattice
Alexander K. Hartmann, Satya N. Majumdar
We provide an exact formula for the mean first-passage time (MFPT) to a target at the origin for a single particle diffusing on a -dimensional hypercubic {\em lattice} starting…
Exact joint distributions of three global characteristic times for Brownian motion
Alexander K. Hartmann, Satya N. Majumdar
We consider three global characteristic times for a one-dimensional Brownian motion in the interval : the occupation time denoting the cumulative tim…
Resetting by rescaling: exact results for a diffusing particle in one-dimension
Marco Biroli, Yannick Feld, Alexander K. Hartmann +2
In this paper, we study a simple model of a diffusive particle on a line, undergoing a stochastic resetting with rate , via rescaling its current position by a factor , which…
First-passage area distribution and optimal fluctuations of fractional Brownian motion
A. K. Hartmann, B. Meerson
We study the probability distribution of the area swept under fractional Brownian motion (fB\ m) until its first passage time to the origin.…
The distribution of the maximum of independent resetting Brownian motions
Alexander K. Hartmann, Satya N. Majumdar, Gregory Schehr
The probability distribution of the maximum of a single resetting Brownian motion (RBM) of duration and resetting rate , properly centred and scaled, is known to conve…
Asymptotic behavior of the length of the longest increasing subsequences of random walks
J. Ricardo G. Mendonça, Hendrik Schawe, Alexander K. Hartmann
We numerically estimate the leading asymptotic behavior of the length of the longest increasing subsequence of random walks with step increments following Student's -dis…