Mathematical Physics Seminar - Shrey Sanadhya, PhD; Einstein Institute of Mathematics, The Hebrew University of Jerusalem

Mathematical Physics Seminar - Shrey Sanadhya, PhD; Einstein Institute of Mathematics, The Hebrew University of Jerusalem promotional image

Multidimensional local limit theorem in deterministic systems and an application to non-convergence of polynomial multiple averages

Shrey Sanadhya, PhD; Einstein Institute of Mathematics, The Hebrew University of Jerusalem

In this talk, for an ergodic probability preserving system (X,B,m,T), we will discuss the existence of a Z^d valued function , whose corresponding cocycle satisfies the d-dimensional local central limit theorem. As an application, we resolve a question of Huang, Shao and Ye, and Franzikinakis and Host regarding non-convergence in L^2 of polynomial multiple averages of non-commuting zero entropy transformations. We also provide first examples of failure of multiple recurrence for zero entropy transformations along polynomial iterates. This is joint work with Zemer Kosloff.

To participate in this seminar remotely via Zoom, go to https://uiowa.zoom.us/j/99570315915

Tuesday, November 12, 2024 2:30pm to 3:30pm
Van Allen Hall
309
30 North Dubuque Street, Iowa City, IA 52242
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Individuals with disabilities are encouraged to attend all University of Iowa–sponsored events. If you are a person with a disability who requires a reasonable accommodation in order to participate in this program, please contact Department of Physics & Astronomy in advance at 319-335-1686 or physics-astronomy@uiowa.edu.