[图书][B] Random walks on disordered media and their scaling limits

T Kumagai - 2014 - Springer
The main theme of these lecture notes is to analyze heat conduction on disordered media
such as fractals and percolation clusters by means of both probabilistic and analytic …

[PDF][PDF] Large deviations of a network of interacting particles with sparse random connections

J MacLaurin - arXiv preprint arXiv:1607.05471, 2018 - researchgate.net
In this work we determine a process-level Large Deviation Principle (LDP) for a model of
interacting particles indexed by a lattice Zd. The connections are random, sparse and …

Large Deviations of a Spatially-Stationary Network of Interacting Neurons

O Faugeras, J Maclaurin - arXiv preprint arXiv:1404.0732, 2014 - arxiv.org
In this work we determine a process-level Large Deviation Principle (LDP) for a model of
interacting neurons indexed by a lattice $\mathbb {Z}^ d $. The neurons are subject to noise …

Random Conductance Model

T Kumagai, T Kumagai - Random Walks on Disordered Media and their …, 2014 - Springer
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[PDF][PDF] ÌUNIVERSITY OF TOKYO

K Okamura - ms.u-tokyo.ac.jp
We show quenched large deviations for the simple random walk on percolation models with
long-range correlations defined by Drewitz, Ráth and Sapozhnikov [3], which contain …