From the 1 of 9 linked papers with an AI index.
9 papers
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…
Topology, noise, and parallel updates in a model of circular opinion dynamics
Wioletta M. Ruszel, Cristian Spitoni
We study a circular opinion dynamics model with local midpoint interactions, extended to allow parallel updates of multiple sites. On a ring, the dynamics admits twisted states ass…
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…
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…