F. Toninelli

activity

19992023

most citedThe Thermodynamic Limit in Mean Field Spin Glass Models

322 citations · 1.5k across the 67 of their papers we have counts for

collaborators

Showing 2012 · math.PRShow all

2 papers · 2 filters

math.PR2012★ 1 cited

How quickly can we sample a uniform domino tiling of the 2L x 2L square via Glauber dynamics?

Benoit Laslier, Fabio Toninelli

TThe prototypical problem we study here is the following. Given a $2 L \times 2 L$ square, there are approximately $exp (4 K L^{2} / π)$ ways to tile it with dominos, i.e. with horizontal o…

math.PR2012★ 24 cited

Dynamics of $(2 + 1)$ -dimensional SOS surfaces above a wall: Slow mixing induced by entropic repulsion

Pietro Caputo, Eyal Lubetzky, Fabio Martinelli +2

We study the Glauber dynamics for the $(2 + 1) D$ Solid-On-Solid model above a hard wall and below a far away ceiling, on an $L \times L$ box of $Z^{2}$ with zero bound…

How quickly can we sample a uniform domino tiling of the 2L x 2L square via Glauber dynamics?

Dynamics of (2+1)-dimensional SOS surfaces above a wall: Slow mixing induced by entropic repulsion

Dynamics of $(2 + 1)$ -dimensional SOS surfaces above a wall: Slow mixing induced by entropic repulsion