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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.
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
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
Exact Convergence Rates in Some Martingale Central Limit Theorems
- E. Bolthausen
- Mathematics
- 1 August 1982
Lectures on probability theory and statistics
- E. Bolthausen, E. Perkins, A. V. D. Vaart
- Mathematics
- 2002
An estimate of the remainder in a combinatorial central limit theorem
- E. Bolthausen
- Mathematics
- 1 August 1984
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
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
Ten Lectures on Random Media
- E. Bolthausen, Alain-Sol Sznitman
- Computer Science
- 22 March 2002
TLDR
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