Stochastic homogenization of Hamilton–Jacobi and degenerate Bellman equations in unbounded environments
SN Armstrong, PE Souganidis - Journal de mathématiques pures et …, 2012 - Elsevier
We consider the homogenization of Hamilton–Jacobi equations and degenerate Bellman
equations in stationary, ergodic, unbounded environments. We prove that, as the …
equations in stationary, ergodic, unbounded environments. We prove that, as the …
First passage percolation with long-range correlations and applications to random Schrödinger operators
S Andres, A Prévost - The Annals of Applied Probability, 2024 - projecteuclid.org
We consider first passage percolation (FPP) with passage times generated by a general
class of models with long-range correlations on Z d, d≥ 2, including discrete Gaussian free …
class of models with long-range correlations on Z d, d≥ 2, including discrete Gaussian free …
Lyapunov exponents, shape theorems and large deviations for the random walk in random potential
JC Mourrat - arXiv preprint arXiv:1106.3995, 2011 - arxiv.org
We consider the simple random walk on Z^ d evolving in a potential of independent and
identically distributed random variables taking values in [0,+\infty]. We give optimal …
identically distributed random variables taking values in [0,+\infty]. We give optimal …
Stretched polymers in random environment
Stretched Polymers in Random Environment | SpringerLink Skip to main content
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Advertisement SpringerLink Account Menu Find a journal Publish with us Track your …
[HTML][HTML] Search for Extraterrestrial Intelligence (SETI) by fractal universe
S Chen, TJ Zhang - Results in Physics, 2019 - Elsevier
We propose the hypothesis that the universes we live are provided with fractal properties,
from macro to micro scale, which have self-similarity and space filling. In this paper, we try to …
from macro to micro scale, which have self-similarity and space filling. In this paper, we try to …
[HTML][HTML] Crossing velocities for an annealed random walk in a random potential
E Kosygina, T Mountford - Stochastic Processes and their Applications, 2012 - Elsevier
We consider a random walk in an iid non-negative potential on the d-dimensional integer
lattice. The walk starts at the origin and is conditioned to hit a remote location y on the lattice …
lattice. The walk starts at the origin and is conditioned to hit a remote location y on the lattice …
The landscape function on
G David, A Gloria, S Mayboroda - arXiv preprint arXiv:2307.11182, 2023 - arxiv.org
Consider the Schr\" odinger operator $-\triangle+\lambda V $ with non-negative iid random
potential $ V $ of strength $\lambda> 0$. We prove existence and uniqueness of the …
potential $ V $ of strength $\lambda> 0$. We prove existence and uniqueness of the …
Strong disorder in semidirected random polymers
N Zygouras - Annales de l'IHP Probabilités et statistiques, 2013 - numdam.org
We consider a random walk in a random potential, which models a situation of a random
polymer and we study the annealed and quenched costs to perform long crossings from a …
polymer and we study the annealed and quenched costs to perform long crossings from a …
Continuity results and estimates for the Lyapunov exponent of Brownian motion in stationary potential
J Rueß - 2016 - projecteuclid.org
We collect some applications of the variational formula established by Schroeder [J. Funct.
Anal. 77 (1988) 60–87] and Rueß [ALEA Lat. Am. J. Probab. Math. Stat. 11 (2014) 679–709] …
Anal. 77 (1988) 60–87] and Rueß [ALEA Lat. Am. J. Probab. Math. Stat. 11 (2014) 679–709] …
Random PDEs: questions of regularity
JC Mourrat - 2017 - theses.hal.science
Résumé Le mémoire se décompose en trois parties. La première partie est un aperçu
rapide de mon activité de recherche depuis la thèse. Les deux autres parties décrivent deux …
rapide de mon activité de recherche depuis la thèse. Les deux autres parties décrivent deux …