ELFT HÍRADÓ

[tcsaba AT eik.bme.hu]

                             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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