Assaf Shapira

assaf.shapira@normalesup.org

45 rue des Saints-Pères, Paris
Office 812D

About me

I'm an associate professor ("maître de conférences") in MAP5 in Paris. I'm interested mostly in probability and statistical physics, and I work a lot on time scales of random processes.

I did my PhD at the LPSM with Cristina Toninelli on interacting particle systems, and specifically on kinetically constrained models. This is a family of models studied in physics in order to better understand jamming of glassy and granular materials. You can see my thesis here. I continued the same line of work during a postdoc in Roma Tre University's probability group.

Here is a more detailed CV.

Projects & Publications

Relaxation time and topology in 1D $O(N)$ models

arXiv preprint arXiv:2407.12610 (2024).
show more

Noncooperative models of kinetically constrained lattice gases

arXiv preprint arXiv:2301.13559 (2023). (PDF)
show more

Topologically induced metastability in a periodic XY chain

With Clément Cosco. Appears in Journal of Mathematical Physics 62 (2021). (PDF)
show more

Large scale dynamics of the Kob-Andersen model

Diffusive scaling of the Kob–Andersen model in $\mathbb{Z}^d$, with Fabio Martinelli and Cristina Toninelli. Appears in Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 56 (2020). (PDF)
Self-Diffusion coefficient in the Kob-Andersen model, with Anatole Ertul. Appears in Electronic Communications in Probability 26 (2021). (PDF)
Hydrodynamic limit of the Kob-Andersen model. Appears in Annals of Applied Probability 33(5) (2023). (PDF)
show more

Kinetically constrained models in random environments

Kinetically constrained models with random constraints. Appears in Annals of Applied Probability 30 (2018). (PDF)
Time scales of the Fredrickson-Andersen model on polluted $\mathbb{Z}^2$ and $\mathbb{Z}^3$, with Erik Slivken. arXiv preprint arXiv:1906.09949 (2019). (PDF)
show more

Anchored advected interfaces, Oslo model, and roughness at depinning

with Kay Wiese. Appears in Journal of Statistical Mechanics (2023). (PDF)

Hydrodynamic behavior near dynamical criticality of a facilitated conservative lattice gas

with Clément Erignoux, Alexandre Roget, and Marielle Simon. Appears in Physical Review E 110 (2024). (PDF)

Field theoretical representation of the Loop-erased random walk

Loop-erased random walk as a spin system observable, with Tyler Helmuth. Appears in Journal of Statistical Physics (2020). (PDF)
An exact mapping between loop-erased random walks and an interacting field theory with two fermions and one boson, with Kay Wiese. Appears in SciPost Physics 9 (2020). (PDF)
show more

Spectral gap of the Fredrickson-Andersen one spin facilitated model

Journal of Statistical Physics (2020). (PDF)
show more

Metastable behavior of bootstrap percolation on Galton-Watson trees

ALEA 16 (2019).
show more

Hausdorff dimension of the record set of a fractional Brownian motion

With Lucas Benigni, Clément Cosco, and Kay Wiese. Electronic Communications in Probability 23 (2018). (PDF)
show more

Small noise and long time phase diffusion in stochastic limit cycle oscillators

With Giambattista Giacomin and Christophe Poquet. Journal of Differential Equations 264 (2018). (PDF)
show more

On maximizing the speed of a random walk in fixed environments

With Amichai Lampert. Electronic Communications in Probability 18 (2013). (PDF)
show more