Random walks in random environments
O Zeitouni - Journal of Physics A: Mathematical and General, 2006 - iopscience.iop.org
Random walks in random environments and their diffusion analogues have been a source
of surprising phenomena and challenging problems, especially in the non-reversible …
of surprising phenomena and challenging problems, especially in the non-reversible …
[KİTAP][B] Fluctuations in Markov processes: time symmetry and martingale approximation
The present volume contains the most advanced theories on the martingale approach to
central limit theorems. Using the time symmetry properties of the Markov processes, the …
central limit theorems. Using the time symmetry properties of the Markov processes, the …
Quenched invariance principle for simple random walk on percolation clusters
We consider the simple random walk on the (unique) infinite cluster of super-critical bond
percolation in ℤ d with d≥ 2. We prove that, for almost every percolation configuration, the …
percolation in ℤ d with d≥ 2. We prove that, for almost every percolation configuration, the …
Random-walk in beta-distributed random environment
We introduce an exactly-solvable model of random walk in random environment that we call
the Beta RWRE. This is a random walk in ZZ which performs nearest neighbour jumps with …
the Beta RWRE. This is a random walk in ZZ which performs nearest neighbour jumps with …
[KİTAP][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 …
such as fractals and percolation clusters by means of both probabilistic and analytic …
KPZ equation limit of sticky Brownian motion
We consider the motion of a particle under a continuum random environment whose
distribution is given by the Howitt-Warren flow. In the moderate deviation regime, we …
distribution is given by the Howitt-Warren flow. In the moderate deviation regime, we …
Quenched invariance principle for random walks with time-dependent ergodic degenerate weights
We study a continuous-time random walk, X, on ℤ d in an environment of dynamic random
conductances taking values in (0,∞). We assume that the law of the conductances is ergodic …
conductances taking values in (0,∞). We assume that the law of the conductances is ergodic …
First-passage time for many-particle diffusion in space-time random environments
The first-passage time for a single diffusing particle has been studied extensively, but the
first-passage time of a system of many diffusing particles, as is often the case in physical …
first-passage time of a system of many diffusing particles, as is often the case in physical …
Random walk on random walks
M Hilário, F Den Hollander, V Sidoravicius… - 2015 - projecteuclid.org
In this paper we study a random walk in a one-dimensional dynamic random environment
consisting of a collection of independent particles performing simple symmetric random …
consisting of a collection of independent particles performing simple symmetric random …
Anomalous fluctuations of extremes in many-particle diffusion
In many-particle diffusions, particles that move the furthest and fastest can play an outsized
role in physical phenomena. A theoretical understanding of the behavior of such extreme …
role in physical phenomena. A theoretical understanding of the behavior of such extreme …