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math.PR2022
Face and cycle percolation
Christian Hirsch, Daniel Valesin
We consider face and cycle percolation as models for continuum percolation based on random simplicial complexes in Euclidean space. Face percolation is defined through infinite seq…
math.PR2022
Scaling limit of an adaptive contact process
Adrián González Casanova, András Tóbiás, Daniel Valesin
We introduce and study an interacting particle system evolving on the -dimensional torus . Each vertex of the torus can be either empty or occupied by…