8 citations · 45 across the 16 of their papers we have counts for
18 papers
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…
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…
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…
Anchored advected interfaces, Oslo model, and roughness at depinning
Assaf Shapira, Kay Joerg Wiese
There is a plethora of 1-dimensional advected systems with an absorbing boundary: the Toom model of anchored interfaces, the directed exclusion process where in addition to diffusi…
Noncooperative models of kinetically constrained lattice gases
Assaf Shapira
We study a family of conservative interacting particle systems with degenerate rates called noncooperative kinetically constrained lattice gases. We prove for all models in this fa…
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…
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…
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…
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…
Hydrodynamic limit of the Kob-Andersen model
Assaf Shapira
This paper concerns with the hydrodynamic limit of the Kob-Andersen model, an interacting particle system that has been introduced by physicists in order to explain glassy behavior…
Topologically induced metastability in periodic XY chain
Clément Cosco, Assaf Shapira
Non-trivial topological behavior appears in many different contexts in statistical physics, perhaps the most known one being the Kosterlitz-Thouless phase transition in the two dim…
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…
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…
Kinetically Constrained Models with Random Constraints
Assaf Shapira
We study two kinetically constrained models in a quenched random environment. The first model is a mixed threshold Fredrickson-Andersen model on , where the update…
Hausdorff Dimension of the Record Set of a Fractional Brownian Motion
Lucas Benigni, Clément Cosco, Assaf Shapira +1
We prove that the Hausdorff dimension of the record set of a fractional Brownian motion with Hurst parameter equals .
Metastable Behavior of Bootstrap Percolation on Galton-Watson Trees
Assaf Shapira
We analyze the metastable states near criticality of the bootstrap percolation on Galton-Watson trees. We find that, depending on the exact choice of the offspring distribution, it…
Small noise and long time phase diffusion in stochastic limit cycle oscillators
Giambattista Giacomin, Christophe Poquet, Assaf Shapira
We study the effect of additive Brownian noise on an ODE system that has a stable hyperbolic limit cycle, for initial data that are attracted to the limit cycle. The analysis is pe…
On Maximizing the Speed of a Random Walk in Fixed Environments
Amichai Lampert, Assaf Shapira
We consider a random walk in a fixed Z environment composed of two point types: (q,1-q) and (p,1-p) for 1/2<q<p. We study the expected hitting time at N for a given number k of p-d…