From the 1 of 9 linked papers with an AI index.
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Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition
Fabio Coppini, Wioletta M. Ruszel
The paper proves central limit theorems for nonlinear functionals of discrete Gaussian fields on a lattice using Wiener chaos decomposition, showing that even powers converge to Ga…
Topological trapping in circular midpoint opinion dynamics
Annika Brockhaus, Wioletta M. Ruszel, Cristian Spitoni
We study a discrete-time asynchronous midpoint dynamics on the circle in which, at each step, a uniformly chosen neighboring pair moves to the midpoint along the shortest arc. Alth…
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…
Isoperimetric inequality for nonlocal bi-axial discrete perimeter
V. Jacquier, W. M. Ruszel, C. Spitoni
In the present manuscript we address and solve for the first time a nonlocal discrete isoperimetric problem. We consider indeed a generalization of the classical perimeter, what we…
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…
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…