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

Autor: Michele Salvi, Alessandra Faggionato, Nina Gantert

Publikováno v: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institut Henri Poincaré (IHP), 2019, 55 (3), pp.1477-1508. ⟨10.1214/18-AIHP925⟩
Ann. Inst. H. Poincaré Probab. Statist. 55, no. 3 (2019), 1477-1508
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institute Henri Poincaré, 2019, 55 (3), pp.1477-1508. ⟨10.1214/18-AIHP925⟩

We consider one-dimensional Mott variable-range hopping with a bias, and prove the linear response as well as the Einstein relation, under an assumption on the exponential moments of the distances between neighboring points. In a previous paper \cite

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b62d4857cbcf116b2e7e42766426972c
https://hal.archives-ouvertes.fr/hal-02374594

Annealed Invariance Principle for Random Walks on Random Graphs Generated by Point Processes in R-d

Autor: Rousselle, Arnaud

Publikováno v: Markov Processes And Related Fields
Markov Processes And Related Fields, Polymat Publishing Company, 2016, 22 (4), pp.653-696

International audience; We consider simple random walks on random graphs embedded in R-d and generated by point processes such as Delaunay triangulations, Gabriel graphs and the creek-crossing graphs. Under suitable assumptions on the point process,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::d1cdbac5dd5ec18418fff4adf768f877
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01493031

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Modèles de polymères dirigés en milieux aléatoires

Autor: Moreno-Flores, Gregorio R

Publikováno v: Mathématiques [math]. Université Paris-Diderot-Paris VII, 2010. Français
Tesis CONICYT
CONICYT Chile
instacron:CONICYT

We study several models of directed polymers in random environments. For the classical model on Z^d, we study the convergence of the environments seen by the particle in the weak disorder region. We prove strong results for very high values of the te

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::b3d249aac77d3bd1a5462152a7d8a857
https://tel.archives-ouvertes.fr/tel-00489557

Random walk delayed on percolation clusters

Autor: Francis Comets, François Simenhaus

Publikováno v: Journal of Applied Probability
Journal of Applied Probability, Cambridge University press, 2008, 45 (3), pp.689-702
Journal of Applied Probability, 2008, 45 (3), pp.689-702. ⟨10.1239/jap/1222441823⟩
Journal of Applied Probability, Cambridge University press, 2008, 45 (3), pp.689-702. ⟨10.1239/jap/1222441823⟩

We study a continuous-time random walk on the d-dimensional lattice, subject to a drift and an attraction to large clusters of a subcritical Bernoulli site percolation. We find two distinct regimes: a ballistic one, and a subballistic one taking plac

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::27d546e827badaaf6c33424625ec4bef
https://hal.science/hal-00178649/document