Random walk on the simple symmetric exclusion process

MR Hilário, D Kious, A Teixeira - Communications in Mathematical …, 2020 - Springer
We investigate the long-term behavior of a random walker evolving on top of the simple
symmetric exclusion process (SSEP) at equilibrium, in dimension one. At each jump, the …

Anomalous scaling regime for one-dimensional Mott variable-range hopping

DA Croydon, R Fukushima, S Junk - The Annals of Applied …, 2023 - projecteuclid.org
We derive an anomalous, sub-diffusive scaling limit for a one-dimen-sional version of the
Mott random walk. The limiting process can be viewed heuristically as a one-dimensional …

Biased random walk on dynamical percolation

S Andres, N Gantert, D Schmid, P Sousi - arXiv preprint arXiv:2301.05208, 2023 - arxiv.org
We study biased random walks on dynamical percolation on $\mathbb {Z}^ d $. We establish
a law of large numbers and an invariance principle for the random walk using regeneration …

Einstein relation and linear response in one-dimensional Mott variable-range hopping

A Faggionato, N Gantert, M Salvi - 2019 - projecteuclid.org
We consider one-dimensional Mott variable-range hopping. This random walk is an effective
model for the phonon-induced hopping of electrons in disordered solids within the regime of …

Scaling limit of sub-ballistic 1D random walk among biased conductances: a story of wells and walls

Q Berger, M Salvi - 2020 - projecteuclid.org
We consider a one-dimensional random walk among biased iid conductances, in the case
where the random walk is transient but sub-ballistic: this occurs when the conductances …

Regularity of biased 1D random walks in random environment

A Faggionato, M Salvi - arXiv preprint arXiv:1802.07874, 2018 - arxiv.org
We study the asymptotic properties of nearest-neighbor random walks in 1d random
environment under the influence of an external field of intensity $\lambda\in\mathbb {R} …

Scaling of sub-ballistic 1D random walks among biased random conductances

Q Berger, M Salvi - arXiv preprint arXiv:1711.04676, 2017 - arxiv.org
We consider two models of one-dimensional random walks among biased iid random
conductances: the first is the classical exponential tilt of the conductances, while the second …

The speed of random walk on Galton-Watson trees with vanishing conductances

T Glatzel, J Nagel - Electronic Journal of Probability, 2021 - projecteuclid.org
In this paper we consider random walks on Galton-Watson trees with random conductances.
On these trees, the distance of the walker to the root satisfies a law of large numbers with …

1D Mott variable-range hopping with external field

A Faggionato - Stochastic Dynamics Out of Equilibrium: Institut Henri …, 2019 - Springer
Mott variable-range hopping is a fundamental mechanism for electron transport in
disordered solids in the regime of strong Anderson localization. We give a brief description …