2 citations · 3 across the 5 of their papers we have counts for
9 papers
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…
Asymptotics of the -capacity in the critical regime
Clément Cosco, Shuta Nakajima, Florian Schweiger
In this note, we are interested in the asymptotics as of the -capacity between the origin and the set , where is the boundary of the unit ball of the lattic…
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…
Optimal order finite difference approximation of generalized solutions to the biharmonic equation in a cube
Stefan Müller, Florian Schweiger, Endre Süli
We prove an optimal order error bound in the discrete norm for finite difference approximations of the first boundary-value problem for the biharmonic equation in spac…
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…
Estimates for the Green's function of the discrete bilaplacian in dimensions 2 and 3
Stefan Müller, Florian Schweiger
We prove estimates for the Green's function of the discrete bilaplacian in squares and cubes in two and three dimensions which are optimal except possibly near the corners of the s…