3 citations · 3 across the 2 of their papers we have counts for
5 papers
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…
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…
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 t…
The Griffiths phase and beyond: A large deviations study of the magnetic susceptibility of the two-dimensional bond-diluted Ising model
Lambert Münster, Alexander K. Hartmann, Martin Weigel
The Griffiths phase in systems with quenched disorder occurs below the ordering transition of the pure system down to the ordering transition of the actual disordered system. While…