1 citations · 1 across the 2 of their papers we have counts for
4 papers
Path-space moderate deviations for a Curie-Weiss model of self-organized criticality
Francesca Collet, Matthias Gorny, Richard Clemens Kraaij
The dynamical Curie-Weiss model of self-organized criticality (SOC) was introduced in \cite{Gor17} and it is derived from the classical generalized Curie-Weiss by imposing a micros…
The geometry of a critical percolation cluster on the UIPT
Matthias Gorny, Édouard Maurel-Segala, Arvind Singh
We consider a critical Bernoulli site percolation on the uniform infinite planar triangulation. We study the tail distributions of the peeling time, perimeter, and volume of the hu…
The Curie-Weiss Model of SOC in Higher Dimension
Matthias Gorny
We build and study a multidimensional version of the Curie-Weiss model of self-organized criticality we have designed in arXiv:1301.6911. For symmetric distributions satisfying som…
A Dynamical Curie-Weiss Model of SOC: The Gaussian Case
Matthias Gorny
In this paper, we introduce a Markov process whose unique invariant distribution is the Curie-Weiss model of self-organized criticality (SOC) we designed in arXiv:1301.6911. In the…