activity
20182020
most citedTime Scales of the Fredrickson-Andersen Model on Polluted and

1 citations · 1 across the 2 of their papers we have counts for

collaborators

7 papers

math.PR2020

A note on the Fredrickson-Andersen one spin facilitated model in stationarity

Assaf Shapira

This note discusses two problems related to the Fredrickson-Andersen one spin facilitated model in stationarity. The first, considered in 2008 in a paper of Cancrini, Martinelli, R…

cond-mat.stat-mech2020

An exact mapping between loop-erased random walks and an interacting field theory with two fermions and one boson

Assaf Shapira, Kay Jörg Wiese

We give a simplified proof for the equivalence of loop-erased random walks to a lattice model containing two complex fermions, and one complex boson. This equivalence works on an a…

math.PR2020

Self-Diffusion Coefficient in the Kob-Andersen Model

Anatole Ertul, Assaf Shapira

The Kob-Andersen model is a fundamental example of a kinetically constrained lattice gas, that is, an interacting particle system with Kawasaki type dynamics and kinetic constraint…

math.PR2020

Loop-erased random walk as a spin system observable

Tyler Helmuth, Assaf Shapira

The determination of the Hausdorff dimension of the scaling limit of loop-erased random walk is closely related to the study of the one-point function of loop-erased random walk, i…

math.PR20191 cited

Time Scales of the Fredrickson-Andersen Model on Polluted and

Assaf Shapira, Erik Slivken

We study the Kinetically Constrained Model on the polluted square lattice, with two-neighbor constraints. For a quenched polluted environment with low pollution density we give bou…

math.PR2019

Diffusive scaling of the Kob-Andersen model in

Fabio Martinelli, Assaf Shapira, Cristina Toninelli

We consider the Kob-Andersen model, a cooperative lattice gas with kinetic constraints which has been widely analyzed in the physics literature in connection with the study of the…