2 citations · 3 across the 5 of their papers we have counts for
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Scaling limits for fractional polyharmonic Gaussian fields
Nicola De Nitti, Florian Schweiger
This work is concerned with fractional Gaussian fields, i.e. Gaussian fields whose covariance operator is given by the inverse fractional Laplacian (where, in particula…
Finite range decompositions of Gaussian fields with applications to level-set percolation
Florian Schweiger
In a recent work (arXiv:2206.10724), Muirhead has studied level-set percolation of (discrete or continuous) Gaussian fields, and has shown sharpness of the associated phase transit…
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 and possessing logarithmic correlations up to local defects that are…
Pinning for the critical and supercritical membrane model
Florian Schweiger
The membrane model is a Gaussian interface model with a Hamiltonian involving second derivatives of the interface height. We consider the model in dimension under…
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 converges in distribution. To do so we use a criterion of Ding, Roy and Zeitouni…
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 of size with zero boundary condition in the subcritical dimensions and . We show optimal est…