CUNY Probability Seminar Spring 2019

The CUNY Probability Seminar is typically held on Tuesdays from 4:15 to 5:15 pm at the CUNY Graduate Center Math Department in room 5417. The exact dates, times and locations are mentioned below. If you want to talk at the seminar, or want to be added to/removed from the seminar mailing list, then please contact the Seminar Coordinator.

Elena Kosygina (https://www.baruch.cuny.edu/math/elenak/)

Seminar Schedule:

Tuesday, January 29, 2019, 4:15-5:15
Room 5417
Speaker: Jian Ding, University of Pennsylvania
Title: Random walk among Bernoulli obstacles
Abstract: Consider a discrete time simple random walk on Z^d, d\geq 2 with random Bernoulli obstacles, where the random walk will be killed when it hits an obstacle. We show that the following holds for a typical environment (for which the origin is in an infinite cluster free of obstacles): conditioned on survival up to time n, the random walk will be localized in a single island. In addition, the limiting shape of the island is a ball and the asymptotic volume is also determined. This is based on joint works with Changji Xu. Time permitting, I will also describe a recent result in the annealed case, which is a joint work with Ryoki Fukushima, Rongfeng Sun and Changji Xu.

Tuesday, February 5, 2019, 4:15-5:15
Room 5417
Speaker: Louis-Pierre Arguin, Baruch College and the CUNY Graduate Center
Title: Moments of the Riemann zeta function on a short interval
Abstract: The moments of the Riemann zeta function on the interval [T,2T] on the critical line play a fundamental role in the distribution of the prime numbers. In this talk, we look at the moments of the Riemann zeta function on typical short intervals (but with length diverging with T). We will show that the moments exhibit a freezing phase transition up to a certain interval length akin to the transition seen seen in log-correlated processes.  As a consequence we prove the leading order of the maximum of the zeta function on such short intervals. The results generalize a conjecture of Fyodorov & Keating and the related results of Arguin et al. and Najnudel on intervals of length one. Joint work with F. Ouimet and M. Radziwill.

Tuesday, February 12, 2019, 4:15-5:15  – no seminar (CUNY is closed for Lincoln’s birthday)

Tuesday, February 19, 2019, 4:15-5:15
Room 5417
Speaker:  Antonia Foldes, College of Staten Island and the CUNY Graduate Center
Title: Random walks on some planar structures
Abstract:  Link to a PDF

Tuesday, February 26, 2019, 4:15-5:15
Room 5417
Speaker: Ramon van Handel, Princeton University
Title: TBA
Abstract: TBA

Tuesday, March 5, 2019, 4:15-5:15
Room 5417
Speaker: Alisa Knizel, Columbia University
Title: Generalization of TASEP in continuous inhomogeneous space
Abstract: We investigate a new class of exactly solvable particle systems
generalizing the Totally Asymmetric Simple Exclusion Process (TASEP).
One of the features of the particle systems we consider is the
presence of spatial inhomogeneity which can lead to the formation of
traffic jams.
For systems with special step-like initial data, we find explicit
limit shapes, describe their hydrodynamic evolution, and obtain
asymptotic fluctuation results which put our generalized TASEPs into
the Kardar-Parisi-Zhang universality class. At a critical scaling
around a traffic jam we observe deformations of the Tracy-Widom
distribution and the extended Airy kernel.

The exact solvability and asymptotic behavior of generalizations of
TASEP we study are powered by a new nontrivial connection to Schur
measures and processes.

Based on joint work with Leonid Petrov and Axel Saenz.

Tuesday, March 12, 2019, 4:15-5:15
Room 5417
Speaker: Si Tang, Lehigh University
Title: TBA
Abstract: TBA

Tuesday, March 19, 2019, 4:15-5:15
Room 5417
Speaker: TBA
Title: TBA
Abstract: TBA

Tuesday, March 26, 2019, 4:15-5:15
Room 5417
Speaker: TBA
Title: TBA
Abstract: TBA

Tuesday, April 2, 2019, 4:15-5:15
Room 5417
Speaker: TBA
Title: TBA
Abstract: TBA

Tuesday, April 9, 2019, 4:15-5:15
Room 5417
Speaker: TBA
Title: TBA
Abstract: TBA

Tuesday, April 16, 2019, 4:15-5:15
Room 5417
Speaker: TBA
Title: TBA
Abstract: TBA

Tuesday, April 23, 2019, 4:15-5:15 Spring recess – no seminar

Tuesday, April 30, 2019, 4:15-5:15
Room 5417
Speaker: Larry Goldstein, University of Southern California
Title: TBA
Abstract: TBA

Tuesday, May 7, 2019, 4:15-5:15
Room 5417
Speaker: TBA
Title: TBA
Abstract: TBA

Tuesday, May 14, 2019, 4:15-5:15
Room 5417
Speaker: TBA
Title: TBA
Abstract: TBA