CUNY Probability Seminar, Spring 2024

The CUNY Probability Seminar will have both in-person and online talks. Its usual time will be Tuesdays from 4:15 to 5:15 pm EST. The exact dates, times, and locations are mentioned below. If you are interested in speaking at the seminar or would like to be added or to be removed from the seminar mailing list, then please get in touch with either of the Seminar Coordinators Matthew Junge and Emma Bailey

Seminar Schedule:

The seminar meets on Tuesdays from 4:15 to 5:15 pm EST, beginning February 6th.

The zoom link, when applicable, will be sent out via the CUNY Probability Seminar listserv. If you are not on the mailing list, please get in contact with the seminar organisers to receive the joining information.

Time: February 6, 4:15 – 5:15 pm EDT
Speaker: Leonid Petrov
Affiliation: University of Virginia, webpage
Location: The Graduate Center, Room 9116
Title: Coloured Interacting Particle Systems on the Ring

Abstract: Recently, there has been much progress in understanding stationary measures for coloured (also called multi-species or multi-type) interacting particle systems motivated by asymptotic phenomena and rich underlying algebraic and combinatorial structures (such as nonsymmetric Macdonald polynomials). I will describe a unifying approach to constructing stationary measures for most known such systems (including the classical multispecies Asymmetric Simple Exclusion Process) based on integrable stochastic vertex models and the Yang-Baxter equation. Joint work with Amol Aggarwal and Matthew Nicoletti.

Time: February 13, 4:15 – 5:15 pm EDT
Speaker: Bhargav Narayanan (Postponed due to weather)

Time: February 20, 4:15 – 5:15 pm EDT
Speaker: Klara Courteaut
Affiliation: Courant Institute, NYU, webpage
Location: The Graduate Center, Room 9116
Title: The planar Coulomb gas on a Jordan curve
Abstract: The eigenvalues of a uniformly distributed unitary matrix (CUE) have the physical interpretation of a system of particles subject to a logarithmic pair interaction, restricted to lie on the unit circle and at inverse temperature 2. In this talk, I will present a more general model in which the unit circle is replaced by a sufficiently regular Jordan curve, at any positive temperature. In a paper with Johansson, we obtained the asymptotic partition function and the Laplace transform of linear statistics at any positive temperature. These can be expressed using either the exterior conformal mapping of the curve or its associated Grunsky operator.

Time: February 27, 4:15 – 5:15 pm EDT
Speaker: Kristina Wicke
Affiliation: New Jersey Institute of Technology, webpage
Location: The Graduate Center, Room 9116
Title: Exploring tree balance indices: Curious results, current developments, and future directions

Abstract: Measures of tree balance play an important role in different research areas ranging from evolutionary biology to theoretical computer science. The balance of a tree is usually quantified in a single number, called a balance or imbalance index, and several such indices exist in the literature. Some of them are well-understood, while for others there are still open questions regarding their mathematical properties.

In this talk, I will give a comprehensive introduction to tree balance and introduce different tree balance indices. I will then focus on presenting some curious results related to tree balance indices, describing recent advances and novel contributions in the field, and highlighting some open questions and directions for future research.

Time: March 5, 4:15 – 5:15 pm EDT
Speaker: Marcus Michelen
Affiliation: University of Illinois, Chicago, webpage
Location: The Graduate Center, Room 9116
Title: New lower bounds for sphere packings and independence sets via randomness

Abstract:  We show new lower bounds for sphere packings in high dimensions and for independent sets in graphs with not too large co-degrees. For dimension d, this achieves a sphere packing of density (1 + o(1)) d log d / 2^(d+1). In general dimension, this provides the first asymptotically growing improvement for sphere packing lower bounds since Rogers’ bound of c*d/2^d in 1947. The proof amounts to a random (very dense) discretization together with a new theorem on constructing independent sets on graphs with not too large co-degree. Both steps will be discussed, and no knowledge of sphere packings will be assumed or required. Central to the analysis is the study of a random process on a graph. This is based on joint work with Marcelo Campos, Matthew Jenssen and Julian Sahasrabudhe.

Time: March 12, 4:15 – 5:15 pm EDT
Speaker: Erik Bates
Affiliation: North Carolina State University, webpage
Location: The Graduate Center, Room 9116
Title:  TBD

Abstract: TBD

Time: March 19, 4:15 – 5:15 pm EDT
Speaker: Jeanne Boursier
Affiliation: Columbia University, webpage
Location: The Graduate Center, Room 9116
Title:  TBD

Abstract: TBD

Time: March 26, 4:15 – 5:15 pm EDT
Speaker: TBD
Affiliation:
Location: The Graduate Center, Room 9116
Title: TBD

Time: April 2, 4:15 – 5:15 pm EDT
Speaker: TBD
Affiliation:
Location: The Graduate Center, Room 9116
Title:  TBD

Abstract: TBD

Time: April 9, 4:15 – 5:15 pm EDT
Speaker: Saraí Hernandez-Torres
Affiliation: Instituto de Matemáticas, UNAM, webpage
Location: The Graduate Center, Room 9116
Title:  TBD

Abstract: TBD

Time: April 16, 4:15 – 5:15 pm EDT
Speaker: Eren Kizildag
Affiliation: Columbia University, webpage
Location: The Graduate Center, Room 9116
Title:  TBD

Abstract: TBD

Time: April 23, 4:15 – 5:15 pm EDT
No seminar: Spring break

Time: April 30, 4:15 – 5:15 pm EDT
No seminar: Spring break

Time: May 7, 4:15 – 5:15 pm EDT
Speaker: Christine Chang
Affiliation: The Graduate Center, CUNY
Location: The Graduate Center, Room 9116
Title:  TBD

Abstract: TBD