3 citations · 3 across the 2 of their papers we have counts for
6 papers · 1 filter
From Parisi to Boltzmann
Goetz Kersting, Nicola Kistler, Adrien Schertzer +1
We sketch a new framework for the analysis of disordered systems, in particular mean field spin glasses, which is variational in nature and within the formalism of classical thermo…
Oriented first passage percolation in the mean field limit, 2. The extremal process
Nicola Kistler, Adrien Schertzer, Marius A. Schmidt
This is the second, and last paper in which we address the behavior of oriented first passage percolation on the hypercube in the limit of large dimensions. We prove here that the…
A Simple Proof of the DPRZ-Theorem for 2D Cover Times
Marius A. Schmidt
The purpose of these short notes is to provide a concise proof of a celebrated theorem by Dembo, Peres, Rosen and Zeitouni, which settles the leading order of cover times in the sm…
First passage percolation in the mean field limit
Nicola Kistler, Adrien Schertzer, Marius A. Schmidt
The Poisson clumping heuristic has lead Aldous to conjecture the value of the first passage percolation on the hypercube in the limit of large dimensions. Aldous' conjecture has be…
On McKean's martingale in the Bovier-Hartung extremal process
Constantin Glenz, Nicola Kistler, Marius A. Schmidt
It has been proved by Bovier & Hartung [Elect. J. Probab. 19 (2014)] that the maximum of a variable-speed branching Brownian motion (BBM) in the weak correlation regime converges t…
From Derrida's random energy model to branching random walks: from 1 to 3
Nicola Kistler, Marius A. Schmidt
We study the extremes of a class of Gaussian fields with in-built hierarchical structure. The number of scales in the underlying trees depends on a parameter alpha in [0,1]: choosi…