Einstein relation and linear response in one-dimensional Mott variable-range hop**
A Faggionato, N Gantert, M Salvi - 2019 - projecteuclid.org
We consider one-dimensional Mott variable-range hop**. This random walk is an effective
model for the phonon-induced hop** of electrons in disordered solids within the regime of …
model for the phonon-induced hop** 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
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 …
where the random walk is transient but sub-ballistic: this occurs when the conductances …
Scaling of sub-ballistic 1D random walks among biased random conductances
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 …
conductances: the first is the classical exponential tilt of the conductances, while the second …
Einstein relation for random walk in a one-dimensional percolation model
N Gantert, M Meiners, S Müller - Journal of Statistical Physics, 2019 - Springer
We consider random walks on the infinite cluster of a conditional bond percolation model on
the infinite ladder graph. In a companion paper, we have shown that if the random walk is …
the infinite ladder graph. In a companion paper, we have shown that if the random walk is …
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 …
On these trees, the distance of the walker to the root satisfies a law of large numbers with …