| 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) |
Non-backtracking spectrum of random graphs.
|
|
The non-backtracking matrix of a graph is a non-symmetric 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
Erdos-Renyi 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 |
Columbia-NYU 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 (Bar-Ilan) |
Set-Indexed processes and regularity.
|
|
Contrary to the one-parameter case, the set-indexed Brownian motion is known to be not continuous for some indexing collection which is not a Vapnik- Cervonenkis class. In the study of the set-indexed Levy processes, we consider a weak form of continuity which is satisfied by the Set-indexed Brownian motion. Thanks to the Levy-Ito decomposition, we show that the Set-indexed Levy process has no point mass jumps if and only if its increments are Gaussian.
We prove a Kolmogorovlike criterion for Holder-continuity of a set-indexed process. The localization of these previous properties leads to various definitions of
Holder exponents. The local regularity of the set-indexed 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 set-indexed Levy process: Stationarity, Markov and sample paths properties. Stoch. Proc. Appl. 123, 1638-1670, 2013.
2. E. Herbin and A. Richard. Local Holder regularity for set-indexed 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
|