3 papers
cond-mat.stat-mech2026
Field theories for Laplacian Growth
Paolo Pisapia, Assaf Shapira, Kay Joerg Wiese
Loop-erased random walks (LERW), the -model at and Laplacian random walks (LRW) are three realizations of the same random process. While this equivalence holds on an…
math.PR2026
Regularization of a stationary point process by a stationary increments perturbation
Loïc Thomassey, Raphaël Lachièze-Rey, Assaf Shapira
We present a novel procedure where a stationary point process is regularized through the convolution with a continuous random field with stationary increments, in the sense that th…
math.PR2025
Long time behaviour of one facilitated kinetically constrained models: results and open problems
Fabio Martinelli, Assaf Shapira, Cristina Toninelli
Kinetically constrained models (KCMs) are interacting particle systems introduced in the '80s by physicists to have accessible stochastic models with glassy-type dynamics. The key…