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**From**: tcsaba AT eik.bme.hu**To**: fizinfo AT lists.kfki.hu**Subject**: [Fizinfo] BME Elméleti Fizika Tanszék szemináriuma**Date**: Fri, 12 Dec 2014 18:50:58 +0100

MEGHÍVÓ

a BME Fizikai Intézete Elméleti Fizika Tanszékének

szemináriumára:

Gábor Pete

Department of Stochastics

Budapest University of Technology and Economics

"Critical versus near-critical dynamics in planar FK-percolation"

In dynamical percolation on a planar lattice, each site has

an independent Poisson clock that continuously updates the state of

the site such that the stationary distribution is critical

percolation. One can look at how fast the macroscopic cluster

structure is changing under this dynamics, whether there are random

exceptional times at which there is an infinite cluster, and whether

there is a continuum scaling limit of this dynamics as the mesh goes

to zero. One can also consider an asymmetric dynamics, when a site

always becomes open when its clock rings, and hence the system travels

through its near-critical window.

For standard independent percolation on planar lattices, in long

projects with Christophe Garban and Oded Schramm, we gave complete

answers to the above questions. The critical (symmetric) and

near-critical (asymmetric) versions turn out to be very close

relatives of each other. However, the near-critical ensemble of the

FK(p,q) Random Cluster model, for general q, behaves very differently

from the q=1 percolation case, and is much more mysterious. Based on

joint work with Hugo Duminil-Copin and Christophe Garban on the Ising

q=2 case, I will describe some features that are understood and some

others that are not.

Helye: BME Fizikai Intézet, Elméleti Fizika Tanszék

Budafoki út 8. F-épület, III lépcsöház

Szemináriumi szoba

Ideje: 2014. december 19. péntek, 10:15.

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**[Fizinfo] BME Elméleti Fizika Tanszék szemináriuma**,*tcsaba, 12/08/2014*- <Possible follow-up(s)>
**[Fizinfo] BME Elméleti Fizika Tanszék szemináriuma**,*tcsaba, 12/12/2014*

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