Lifshitz tails for some non monotonous random models

Frédéric Klopp; Shu Nakamura

Displaying similar documents to “Lifshitz tails for some non monotonous random models”

On Bernoulli decomposition of random variables and recent various applications

François Germinet (2007-2008)

Séminaire Équations aux dérivées partielles

Similarity:

In this review, we first recall a recent Bernoulli decomposition of any given non trivial real random variable. While our main motivation is a proof of universal occurence of Anderson localization in continuum random Schrödinger operators, we review other applications like Sperner theory of antichains, anticoncentration bounds of some functions of random variables, as well as singularity of random matrices.

On the zeroes of some random functions

R. Kaufman (1970)

Studia Mathematica

Similarity:

Central limit theorems for the products of random matrices sampled by a random walk.

Duheille-Bienvenüe, Frédérique, Guillotin-Plantard, Nadine (2003)

Electronic Communications in Probability [electronic only]

Similarity:

Strong disorder in semidirected random polymers

N. Zygouras (2013)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

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 point to a hyperplane. These costs are measured by the so called Lyapounov norms. We identify situations where the point-to-hyperplane annealed and quenched Lyapounov norms are different. We also prove that in these cases the polymer path exhibits localization.