61 citations · 128 across the 30 of their papers we have counts for
6 papers · 1 filter
Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition
Fabio Coppini, Wioletta M. Ruszel
We review and present some known results for non-linear functionals of Gaussian variables in the context of discrete Gaussian fields defined on the dimensional lattice. Our mai…
Emergence of metastability on the hyperbolic lattice: Effects of boundary conditions
Vanessa Jacquier, Wioletta M. Ruszel
We investigate the Ising model on finite subgraphs of the hyperbolic lattice under minus boundary conditions and in the presence of a positive external field . Interpreting the…
The fermionic DGFF and its scaling limit logCFT
David Adame-Carrillo, Wioletta M. Ruszel
In this paper, we identify the scaling limit of the fermionic discrete Gaussian free field (fDGFF) as a logarithmic conformal field theory (CFT) in two dimensions. We first establi…
Wick theorem for analytic functions of Gaussian fields
Fabio Coppini, Wioletta M. Ruszel, Dirk Schuricht
We compute the correlation of analytic functions of general Gaussian fields in terms of multigraphs and Feynman diagrams on the lattice Z^d. Then, we connect its scaling limit to t…
On minimal shapes and isoperimetric constants in hyperbolic lattices
Matteo D'Achille, Vanessa Jacquier, Wioletta M. Ruszel
We fully characterize the set of finite shapes with minimal perimeter on hyperbolic lattices given by regular tilings of the hyperbolic plane whose tiles are regular -gons meeti…
Complex abstract Wiener spaces
Tess J. van Leeuwen, Wioletta M. Ruszel
Real abstract Wiener spaces (AWS) were originally defined by Gross using measurable norms, as a generalisation of the theory of advanced integral calculus in infinite dimensions as…