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CUNY Probability Seminar Fall 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.

Louis-Pierre Arguin (https://arguin.commons.gc.cuny.edu/)

Seminar Schedule:

Tuesday, September 3, 2019, 4:15-5:15
Room 5417
Speaker: Nicola Kistler, Frankfurt
Title: From Parisi to Boltzmann
Abstract: I will present a novel framework for the analysis of (mean field) disordered systems,variational in nature and abiding to the principles of classical statistical mechanics, which allows to clarify a number of puzzles posed by the Parisi theory.  Time permitting, I will also discuss some of the inconsistencies of the alternative approach to spin glasses initiated by Thouless, Anderson, and Palmer. Joint with Goetz Kersting, Adrien Schertzer (Frankfurt) and Marius A. Schmidt (Basel). 

Tuesday, September 10, 2019, 4:15-5:15
Room 5417
Speaker: Guillaume Dubach, CUNY
Title: Words of non-Hermitian random matrices
Abstract: Words of non-Hermitian matrices with complex Gaussian entries can be studied using a topological expansion formula, also known as genus expansion. This results in a generalization of what is known for products of i.i.d. complex Ginibre matrices on the one hand, and powers of one such matrix on the other hand. For instance, the empirical distribution of singular values of any word is shown to converge to a Fuss-Catalan distribution whose parameter only depends on the length of the word. This can be extended to matrices with i.i.d. non-Gaussian entries, band matrices, and sparse matrices with optimal sparsity parameter. (Joint work with Yuval Peled.)

Tuesday, September 17, 2019, 4:15-5:15
Room 5417
Speaker: Konstantin Matetski, Columbia
Title: Convergence of finite-range weakly asymmetric exclusion processes on a ring.
Abstract: We consider a spatially periodic growth model built from a weakly asymmetric exclusion process with finite-range jumps and rates depending locally on a configuration of particles. In general, invariant measures of the model are unknown. We prove that after diffusive rescaling and renormalization this model converges to the Hopf-Cole solution of the KPZ equation driven by a Gaussian space-time white noise. In particular, this result confirms that the KPZ scaling theory, which predicts the constants characterizing the scaling limit, holds also in the case when invariant measures are unknown.

Tuesday, September 24, 2019, 4:15-5:15
Room 5417
Speaker: Michel Pain, NYU
Title: Derrida-Retaux model: from discrete to continuous time
Abstract: Derrida-Retaux model is a simple hierarchical renormalization model, originally
introduced by Collet et al., that leads to many surprisingly tough questions. Some of them have been solved recently, but many others are still open. In order to answer these questions, with Yueyun Hu and Bastien Mallein, we introduced a continuous-time version of the model, which yields an exactly solvable family of solutions. We will discuss the results obtained on this model, focusing on the behavior at criticality, where a growth-fragmentation process appears as scaling limit.

Tuesday, October 1, 2019
No meeting

Tuesday, October 8, 2019
No meeting

Tuesday, October 15, 2019, 4:15-5:15
Room 5417
Speaker: Jiaming Xia, UPenn
Title:
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Tuesday, October 22, 2019, 4:15-5:15
Room 5417
Speaker: TBA
Title:
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Tuesday, October 29, 2019, 4:15-5:15
Room 5417
Speaker: Oanh Nguyen, Princeton
Title:
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Tuesday, November 5, 2019, 4:15-5:15
Room 5417
Speaker: TBA
Title:
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Tuesday, November 12, 2019, 4:15-5:15
Room 5417
Speaker: Emma Bailey, Bristol
Title:
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Tuesday, November 19, 2019, 4:15-5:15
No meeting. Northeast Probability Seminar November 21-22

Tuesday, November 26, 2019, 4:15-5:15
Room 5417
Speaker: Chris Janjigian, Utah
Title:
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Tuesday, December 3, 2019, 4:15-5:15
Room 5417
Speaker: Jean-Christophe Mourrat, NYU
Title:
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Tuesday, December 10, 2019, 4:15-5:15
Room 5417
Speaker: Robert Hough, Stony Brook
Title:
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