Publications Influence

Share This Author

## Large Deviations for a Random Walk in Random Environment

- A. Greven, F. Hollander
- Mathematics
- 1 July 1994

Let $\omega = (p_x)_{x\in\mathbb{Z}}$ be an i.i.d. collection of (0, 1)-valued random variables. Given $\omega$, let $(X_n)_{n \geq 0}$ be the Markov chain on $\mathbb{Z}$ defined by $X_0 = 0$ and… Expand

## McKean-Vlasov limit for interacting random processes in random media

- P. D. Pra, F. Hollander
- Mathematics
- 1 August 1996

We apply large-deviation theory to particle systems with a random mean-field interaction in the McKean-Vlasov limit. In particular, we describe large deviations and normal fluctuations around the… Expand

## Intermittency in a catalytic random medium

- J. Gartner, F. Hollander
- Mathematics
- 14 June 2004

In this paper, we study intermittency for the parabolic Anderson equation ∂u/∂t=κΔu+ξu, where u:ℤd×[0, ∞)→ℝ, κ is the diffusion constant, Δ is the discrete Laplacian and ξ:ℤd×[0, ∞)→ℝ is a space-time… Expand

## Moderate deviations for the volume of the Wiener sausage

- M. Berg, E. Bolthausen, F. Hollander
- Mathematics
- 1 March 2001

For a > 0, let Wa(t) be the a-neighbourhood of standard Brownian motion in Rd starting at 0 and observed until time t. It is well-known that ElWa(t)l IKat (t -> oc) for d > 3, with Kea the Newtonian… Expand

## Phase transitions for the long-time behaviour of interacting diffusions

- A. Greven, F. Hollander
- Mathematics
- 6 November 2006

Let ({Xi(t)}i∈Zd)t≥0 be the system of interacting diffusions on [0,∞) defined by the following collection of coupled stochastic differential equations: dXi(t) = ∑ j∈Zd a(i, j)[Xj(t)−Xi(t)] dt+ √… Expand

## Invasion percolation on regular trees

- Omer Angel, J. Goodman, F. Hollander, G. Slade
- Mathematics
- 4 August 2006

TLDR

## Probability Theory : The Coupling Method

- F. Hollander
- Mathematics
- 2012

Coupling is a powerful method in probability theory through which random variables can be compared with each other. Coupling has been applied in a broad variety of contexts, e.g. to prove limit… Expand

## Law of Large Numbers for a Class of Random Walks in Dynamic Random Environments

- L. Avena, F. Hollander, F. Redig
- Mathematics
- 12 November 2009

In this paper we consider a class of one-dimensional interacting particle systems in equilibrium, constituting a dynamic random environment, together with a nearest-neighbor random walk that on… Expand

## Scaling of a random walk on a supercritical contact process

- F. Hollander, R. D. Santos
- Mathematics
- 7 September 2012

A proof is provided of a strong law of large numbers for a one-dimensional random walk in a dynamic random environment given by a supercritical contact process in equilibrium. The proof is based on a… Expand

## Metastability for Glauber dynamics on random graphs

- S. Dommers, F. Hollander, O. Jovanovski, F. Nardi
- Physics
- 29 February 2016

In this paper we study metastable behaviour at low temperature of Glauber spin-flip dynamics on random graphs. We fix a large number of vertices and randomly allocate edges according to the… Expand

...

1

2

3

4

5

...