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Publications Influence

On the Central Limit Theorem for Stationary Mixing Random Fields

- E. Bolthausen
- Mathematics
- 1 November 1982

A simple proof of a central limit theorem for stationary random fields under mixing conditions is given, generalizing some results obtained by more complicated methods, e.g. Bernstein's method.

272 55- PDF

On Ruelle's Probability Cascades and an Abstract Cavity Method

- E. Bolthausen, Alain-Sol Sznitman
- Mathematics
- 1 October 1998

Abstract: We construct in this work a Markov process which describes a clustering mechanism through which equivalence classes on ℕ are progressively lumped together. This clustering process gives a… Expand

252 29- PDF

Entropic repulsion and the maximum of the two-dimensional harmonic crystal

- E. Bolthausen, J. Deuschel, G. Giacomin
- Mathematics
- 1 October 2001

We consider the lattice version of the free field in two dimensions (also called harmonic crystal). The main aim of the paper is to discuss quantitatively the entropic repulsion of the random surface… Expand

158 25- PDF

Exact Convergence Rates in Some Martingale Central Limit Theorems

- E. Bolthausen
- Mathematics
- 1 August 1982

100 24

Lectures on probability theory and statistics

- E. Bolthausen, E. Perkins, A. V. D. Vaart
- Mathematics
- 2002

203 21

An estimate of the remainder in a combinatorial central limit theorem

- E. Bolthausen
- Mathematics
- 1 August 1984

131 20

A central limit theorem for two-dimensional random walks in random sceneries

- E. Bolthausen
- Mathematics
- 1989

Let $S_n$, $n\in\bold N$, be a recurrent random walk on ${\bold Z}^2$ $(S_0=0)$ and let $\xi(\alpha)$, $\alpha\in{\bold Z}^2$, be i.i.d. $\bold R$-valued centered random variables. It is shown that… Expand

84 19- PDF

On the Satic and Dynamic Points of View for Certain Random Walks in Random Environment

- E. Bolthausen, Alain-Sol Sznitman
- Mathematics
- 1 September 2002

In this work we prove the equivalence between static and dynamic points of views for certain ballistic random walks in random environment on Zd, when d greater than or equal to 4 and the disorder is… Expand

84 18- PDF

Ten Lectures on Random Media

- E. Bolthausen, Alain-Sol Sznitman
- Computer Science
- 22 March 2002

TLDR

90 16- PDF

A note on the diffusion of directed polymers in a random environment

- E. Bolthausen
- Mathematics
- 1 December 1989

A simple martingale argument is presented which proves that directed polymers in random environments satisfy a central limit theorem ford≧3 and if the disorder is small enough. This simplifies and… Expand

152 15