**The 22nd Northeast Probability Seminar** will be held on Thursday and Friday, November 16-17, 2023 at NYU. The invited speakers are

**Charles Bordenave** (Institut de Mathematiques de Marseille).

**Alison Etheridge** (Oxford).

**Alessandra Faggionato** (Sapienza University of Rome).

**Lenya Ryzhik** (Stanford).

## Plenary Talks Information

**Charles Bordenave**

**Title:** Strong convergence of random matrices with latent geometries

**Abstract:**We will present recent results on the convergence of the operator norm of random matrices of large dimension. Our random matrices are build by taking tensor products of deterministic matrices and independent Haar distributed unitary matrices or independent random permutation matrices. This class of random matrices allows for example to consider random Schreier graphs of Cartesian products of free groups. They are motivated by questions in operator algebra, representation theory and spectral graph theory. The talk will be notably based on joint works with Benoit Collins.

**Alison Etheridge**

**Title:** The forwards and backwards of locally regulated populations

**Abstract:**We introduce a broad class of mechanistic models that might describe how spatially heterogeneous

populations live, die, and reproduce. Questions we (start to) address include: how does population density change across space and time? And how does genetic ancestry spread across geography when looking back through time in these populations? A novelty is that by explicitly splitting reproduction into two phases (production of juveniles and their maturation) we produce a framework that not only captures models that when suitably scaled converge to classical reaction diffusion equations, but also ones with nonlinear diffusion that exhibit quite different behaviour.

This is joint work with Tom Kurtz (Madison), Peter Ralph (Oregon) and Ian Letter and Terence

Tsui (Oxford).

**Alessandra Faggionato**

**Title:** Random resistor networks and low-temperature decay of conductivity

**Abstract:** Random resistor networks are an important tool to study electron transport in disordered media. To simultaneously treat different geometric features determined by Physics, we introduce a

general class of networks on simple point processes. Popular examples are resistor networks on Z^d or on the supercritical percolation cluster and the Miller-Abrahams resistor network. Under very basic assumptions, we derive the a.s. large scale limit of the conductivity. We then move to the low temperature regime,

where energetic barriers become extreme, thus leading to relevant and universal decay laws of conductivity such as Mott’s law for doped semiconductors. We discuss a rigorous derivation which provides the value of some constants debated in the Physics literature, clarifies universality and confirms the paradigm of Critical Path Analysis. Our investigation is based on simple point processes, stochastic homogenization and percolation theory.

**Lenya Ryzhik**

**Title:** Shape defect function and convergence to traveling waves

**Abstract:** It is well known that solutions to many semilinear parabolic equations

can be interpreted in terms of various functionals of branching Brownian motion, most famously so for the Fisher-KPP equation. The shape defect function is a recently reinvented convenient PDE tool that allows to analyze the convergence of the solutions to traveling waves in a very straightforward fashion. Surprisingly,

its behavior looks anomalous in the BBM context. I will explain this phenomenon and beg the audience for a probabilistic explanation.

## Overall schedule

**Thursday Nov 16**

9:00-9:30 Refreshments and registration

Kimmel Center, Room 912/914

9:30-10:30 **Alessandra Faggionato**

Kimmel Center, Room 912/914

10:30-10:45 Break

10:45-11:45 **Charles Bordenave**

Kimmel Center, Room 912/914

11:45-1:45 Lunch (around campus)

1:45-5:00 Short talks, coffee breaks

Kimmel Center, Room 912/914

5:30-7:00 Reception

Courant Institute, 13th Floor Lounge

**Friday Nov 17**

9:00-9:30 Refreshments and registration

Courant Institute, Room 109

9:30-10:30 **Alison Etheridge**

Courant Institute, Room 109

10:30-10:45 Break

10:45-11:45 **Lenya Ryzhik**

Courant Institute, Room 109

11:45-1:45 Lunch (around campus)

1:45-5:00 Short talks, coffee breaks

Courant Institute, Room 109

## (Tentative) Afternoon short-talk schedule

**Thursday November 16 2023 NYU Kimmel Center, Room 914**

__1:45-2:45 PM__

**Xiao Shen**

Title: Independence property of the Busemann function in exactly solvable KPZ models

**Evan Sorensen**

Title: Jointly invariant measures for the Kardar-Parisi-Zhang Equation

**Zhengjiang Lin**

Title: Topology of Gaussian Random Zero Sets

**Ruixuan Zhang**

Title: A conditional limit of the KPZ fixed point

**Hongyi Chen**

Title: Multiplicative Stochastic Heat Equation on Compact Manifolds of Nonpositive Sectional Curvature

__2:45-3:00__

Break

__3:00-4:00__

**Luke Peilen**

Title: Local Laws and a Mesoscopic CLT for beta-ensembles

**Christine Chang**

Title: Hybrid Statistics of the Maxima of a Random Model of the Zeta Function over Intervals of Varying Length

**Pax Kivimae**

Title: The Larkin Mass and Free Energy of The Elastic Manifold

**Daesung Kim **

Title: Curie-Weiss model under l^p constraint

**Gursharn Kaur**

Title: Interacting Urns on a Directed Network with Node-Dependent Sampling and Reinforcement

__4:00-4:15__

Break

__4:15-4:50__

**Douglas Dow**

Title: Differentiability of the shape function for continuous space directed polymers

**Peter Rudzis**

Title**: ** Fluctuations of the Atlas model from inhomogeneous stationary profiles

**Yujin Kim**

Title: The shape of the front of multidimensional branching Brownian motion

**Friday November 17 2023 Courant Institute, Room 109**

__1:45-2:45 PM__

**Miriam Gordin**

Title: Vector-Valued Concentration on Symmetric Group

**Guang Yang**

Title: Coupling method and the fundamental gap problem on sphere.

**Jiaming Chen**

Title: New stochastic Fubini theorem via stochastic integrals of measure-valued processes

**Andres Riveros**

Title: Markov Process Jump Times and Their Cox Construction

**Liangbing Luo **

Title: Logarithmic Sobolev inequalities on homogeneous spaces

__2:45-3:00__

Break

__3:00-4:10__

**Chunyin Siu **

Title: Asymptotics of Expected Betti Numbers of Preferential Attachment Clique Complexes

**Andrea Ottolini **

Title: Hitting times on ER random graphs

**Prabhanka Deka**

Title: Local weak limit for the collapsed branching process with random out-degrees

**Aaradhya Pandey **

Title: Exact recovery in the Gaussian weighted Stochastic block model

**Thanh Le Nhat Dang**

Title: Density convergence of Gaussian functionals to a Gamma density via the Malliavin-Stein method

**Georgy Gaitsgori**

Title: A Dynkin Game with Independent Processes and Incomplete Information

__4:10-4:25__

Break

__4:25-5:25__

**Matthew Nicoletti**

Title: Stationary Measures of Colored Particle Systems from Yang–Baxter Equation

**Mingtao Xia **

Title: Kinetic theories of generation-dependent cellular proliferation models

**Raghavendra Tripathi **

Title: Two-color exchangeability: some observations and questions

**Ella Hiesmayr **

Title: The spectral edge of Erdős-Rényi graphs with constant average degree

**Haixiao Wang**

Title: Optimal and exact recovery for community detection on general hypergraphs

**IMPORTANT: REGISTRATION AND NYU BUILDING ACCESS**

If you do not have an NYU ID and wish to attend the conference, you must fill out the short registration form **here**. Please provide information matching your ID by **Monday November 13** at latest. IDs will be checked at the entrance to NYU buildings. Unfortunately, we cannot guarantee building access for those who fail to submit this form on time. We also recommend arriving early. There will be refreshments starting at 9am on both days.

**Location**

The Thursday program of the conference will be held at NYU’s Kimmel Center (60 Washington Square S, New York, NY 10012). The reception on Thursday and the entire program Friday will be held at Courant Institute of Mathematical Sciences (251 Mercer St, New York, NY 10012). Both locations are easy to find with google maps. We emphasize that you must register in advance to enter these buildings.

**Women in Probability lunch**

Women in Probability is glad to host another event at this year’s Northeast Probability Seminar. This year, we’ll host a lunch on Thursday, November 16, supported through the NEPS grant. These events are a great opportunity for early career researchers to interact with peers as well as more established researchers. Anyone interested in joining can contact Tai Melcher (melcher@virginia.edu).

As at the previous seminars, there will be time for short, informal talks and discussion sessions.

We gratefully acknowledge the generous funding from the National Science Foundation that makes this event possible.

Those interested in receiving **financial support** **for travel and lodging** should complete this application and arrange for a brief letter of recommendation from their advisor (or other expert) be sent to jungem13 at gmail dot com.

**Short talks:** We are finalizing the short talk schedule for the afternoon of both days. We are not accepting new short talk applications at this point.

The program was chosen by the seminar’s scientific committee:

Louis-Pierre Arguin, Yuri Bakhtin, Nayantara Bhatnagar, Paul Bourgade, Ivan Corwin, Julien Dubedat, Ramon Van Handel, Elena Kosygina, Eyal Lubetzky, Carl Mueller, Daniel Ocone, Robin Pemantle, Victor de la Pena, Brian Rider and Jay Rosen.

**Local organisers:**

Yuri Bakhtin

Nina Holden

21st Northeast Probability Seminar, 2022

20th Northeast Probability Seminar, 2021

19th Northeast Probability Seminar, 2020

18th Northeast Probability Seminar, 2019

17th Northeast Probability Seminar, 2018

16th Northeast Probability Seminar, 2017

15th Northeast Probability Seminar, 2016

14th Northeast Probability Seminar, 2015

13th Northeast Probability Seminar, 2014

12th Northeast Probability Seminar, 2013

11th Northeast Probability Seminar, 2012

10th Northeast Probability Seminar, 2011

9th Northeast Probability Seminar, 2010

8th Northeast Probability Seminar, 2009

7th Northeast Probability Seminar, 2008

6th Northeast Probability Seminar, 2007

5th Northeast Probability Seminar, 2006

4th Northeast Probability Seminar, 2005

3rd Northeast Probability Seminar, 2004