F. Schweiger

activity

20182022

collaborators

3 papers

math.PR2022

The maximum of log-correlated Gaussian fields in random environments

Florian Schweiger, Ofer Zeitouni

We study the distribution of the maximum of a large class of Gaussian fields indexed by a box $V_{N} \subset Z^{d}$ and possessing logarithmic correlations up to local defects that are…

math.PR2019

The maximum of the four-dimensional membrane model

Florian Schweiger

We show that the centred maximum of the four-dimensional membrane model on a box of sidelength $N$ converges in distribution. To do so we use a criterion of Ding, Roy and Zeitouni…

math.PR2018

Probability to be positive for the membrane model in dimensions 2 and 3

Simon Buchholz, Jean-Dominique Deuschel, Noemi Kurt +1

We consider the membrane model on a box $V_{N} \subset Z^{n}$ of size $(2 N + 1)^{n}$ with zero boundary condition in the subcritical dimensions $n = 2$ and $n = 3$ . We show optimal est…