Friday September 19, 2014 
Vladas Sidoravicius (IMPA) 
Continuity of phase transitions for models of Statistical Mechanics.

During my talk I will discuss the question of
continuity of phase transition in lattice models of Statistical
Mechanics, such as Bernoulli percolation, Ising and Potts models in dimensions
2 and 3. I will report recent results with some details of proofs and discuss open
problems.

Friday September 26, 2014 
Charles Bordenave (Toulouse) 
Nonbacktracking spectrum of random graphs.

The nonbacktracking matrix of a graph is a nonsymmetric matrix on
the oriented edge of a graph which has interesting algebraic
properties and appears notably in connection with the Ihara zeta
function and in some generalizations of Ramanujan graphs. It has also
been used recently in the context of community detection. In this
talk, we will study the largest eigenvalues of this matrix for the
ErdosRenyi graph G(n,c/n) and for simple inhomogeneous random graphs
(stochastic block model). This is a joint work with Marc Lelarge and
Laurent Masoulié.

Friday October 3, 2014 
Hao Wu (MIT) 
Intersections of SLE paths

SLE curves are introduced by Oded Schramm as the candidate of the scaling limit of discrete models. In this talk, we first describe basic properties of SLE curves and their relation with discrete models. Then we summarize the Hausdorff dimension results related to SLE curves, in particular the new results about the dimension of cut points and double points. Third we introduce Imaginary Geometry, and from there give the idea of the proof of the dimension results.

Friday October 10, 2014 
ColumbiaNYU probability seminar series

Yuri Bakhtin: TBA
Paul Bourgade: TBA
Ivan Corwin: TBA
Eyal Lubetzky: TBA

Friday October 17, 2014 
Elliot Paquette (Weizmann) 
Stationary random graphs and the hyperbolic Poisson Voronoi tessellation

We consider the hyperbolic Poisson Voronoi (HPV) tessellation, a
triangulation of the hyperbolic plane whose vertices are given by a
homogeneous Poisson point process. This triangulation fails to have a
positive isoperimetric constant, however we show that it does have a
positive "anchored" isoperimetric constant. HPV is an example of a
stationary random graph, one which when viewed from the point of view
of random walk, has the same law at all times. We review some of the
theory of stationary random graphs and give some extensions that allow
us to conclude random walk on HPV escapes from 0 with positive speed.
This is joint work with Itai Benjamini (Weizmann) and Josh Pfeffer (Harvard).

Friday October 24, 2014 
Jonathan Novak (MIT) 
TBA

TBA

Friday October 31, 2014 
Ely Merzbach (BarIlan) 
SetIndexed processes and regularity.

Contrary to the oneparameter case, the setindexed Brownian motion is known to be not continuous for some indexing collection which is not a Vapnik Cervonenkis class. In the study of the setindexed Levy processes, we consider a weak form of continuity which is satisfied by the Setindexed Brownian motion. Thanks to the LevyIto decomposition, we show that the Setindexed Levy process has no point mass jumps if and only if its increments are Gaussian.
We prove a Kolmogorovlike criterion for Holdercontinuity of a setindexed process. The localization of these previous properties leads to various definitions of
Holder exponents. The local regularity of the setindexed fractional Brownian motion is proved to be constant, with probability one.
This talk is based on the following works:
1. E. Herbin and E. Merzbach. The setindexed Levy process: Stationarity, Markov and sample paths properties. Stoch. Proc. Appl. 123, 16381670, 2013.
2. E. Herbin and A. Richard. Local Holder regularity for setindexed processes. To appear,2014.
3. A. Richard, Local regularity of some fractional Brownian fields, Ph.D. thesis, Ecole Centrale Paris, 2014.

Friday November 7, 2014 
Vadim Gorin (MIT) 
TBA

TBA

Friday November 14, 2014 
Yuval Peres (Microsoft) 
TBA

TBA

Friday November 21, 2014 
Northeast probability seminar 

Friday November 28, 2014 
Thanksgiving 

TBA

Friday December 5, 2014 
Thomas Spencer (IAS) 
TBA

TBA

Friday December 12, 2014 
TBA 
TBA

TBA

Friday December 19, 2014 
TBA 
TBA

TBA
