I am co-organizing a virtual Probability Seminar with Wei-Kuo Chen and Arnab Sen at University of Minnesota for
the Spring 2025 semester. Please email me to get the Zoom link for the seminar series.
The seminar is held on Fridays at 2:30pm (ET), unless otherwise noted below.
| 01/31/2025 | Heejune Kim (U Minnesota) |
| Title: Disorder Chaos in Short-Range, Diluted, and Lévy Spin Glasses | |
| Abstract: In a breakthrough [arXiv:2301.04112], Chatterjee proved site disorder chaos in the Edwards-Anderson (EA) short-range spin glass model utilizing the Hermite spectral method. In this talk, I will discuss the usefulness of this Hermite spectral approach by extending the validity of site disorder chaos in three related spin glass models: the mixed even p-spin short-range model, the diluted mixed p-spin model, and the Lévy model. The main novelty of our argument is played by an elementary algebraic equation for the Fourier-Hermite series coefficients for the two-spin correlation functions. It allows us to deduce necessary geometric conditions to determine the contributing coefficients in the overlap function. Based on joint works with Wei-Kuo Chen and Arnab Sen. | |
| 02/07/2025 | Si Tang (Lehigh) |
| Title: The time constant of high dimensional first passage percolation, revisited. | |
| Abstract We prove high-dimensional asymptotics for the time constants in first-passage percolation (FPP) on Zd along all diagonal-like directions v=(1, 1, .., 1, 0, 0, …, 0) of f(d) nonzero entries. We show that the behavior of the time constant is essentially the same as the axis directions if f(d)~o(d) and is characterized by the Lambert W function if f(d)~α d. The proof was based on a cluster exploration idea, which allowed us to estimate moments of non-backtracking first-passage times as well as to fix an error in [AT'16] | |
| 02/14/2025 | Yeganeh Alimohammadi (Stanford) |
| Title: Epidemic Forecasting on Networks: Bridging Local Samples with Global Outcomes. | |
| Abstract: Epidemics of all kinds, from infectious diseases to technologies and ideas, spread through the hidden network of our social interactions. The structure of this underlying network determines the patterns of the epidemic spread, but mapping this network is expensive, and modeling it accurately is difficult. In this talk, I will introduce a data-driven and model-free approach to predict the time evolution of epidemics that requires surprisingly few local network samples to forecast epidemic spread accurately. I will establish theoretical guarantees for the precision of our local estimator for a general class of networks, supporting these claims with concrete empirical evidence. The technical tools discussed in the talk can provide new perspectives on various applications of network data, beyond the scope of epidemics. | |
| 02/21/2025 | Adrien Schertzer (Bonn U) |
| Title: The Two Point Function of the SK Model without External Field at High Temperature. | |
| Abstract: In this talk, I will present a strategy based on ideas related to the TAP approach that enables an exact computation of the operator norm in the Sherrington-Kirkpatrick (SK) model as N → ∞, valid in the full high- temperature regime β < 1. We show that the two point correlation matrix M=(<σiσj>)1≤i,j≤N of the SK model with zero external field satisfies Here, G denotes the GOE interaction matrix of the model. This is a joint work with C. Brennecke, C. Xu, H.-T. Yau. | |
| 02/28/2025 | Shirshendu Ganguly (UC Berkeley) |
| Title: TBA | |
| Abstract: TBA | |
| 03/14/2025 | Spring Break at LU and UMN |
| 03/21/2025 | Souvik Ray (UNC) |
| Title: TBA | |
| Abstract: TBA | |
| 03/28/2025 | Arka Adhikari (U Maryland) |
| Title: TBA | |
| Abstract: TBA | |
| 04/04/2025 | Dylan Altschuler (CMU) |
| Title: TBA | |
| Abstract: TBA | |
| 04/18/2025 | Chokri Manai (TU Munich & Zeiss) |
| Title: TBA | |
| Abstract: TBA | |