The Department of Mathematics at The Catholic University of America hosts a weekly seminar in Functional Analysis and Related Areas. Attendance is open to all interested members of the mathematics community, including students and faculty from other colleges and universities. See below for the title and an abstract of the upcoming presentation.

Visit our seminar archive for a list of past seminar speakers and their talks, with links to their abstracts.

Next Seminar

THE CATHOLIC UNIVERSITY OF AMERICA
Washington, DC 20064
SEMINAR IN FUNCTIONAL ANALYSIS
AND RELATED AREAS
Wednesday, February 21, 2024
8:00 p.m. - 9:00 p.m. (including a coffee break)

SPEAKER: Professor Antar Bandyopadhyay
                  Head Delhi Centre
                  Indian Statistical Institute, Delhi Centre
                  7 S. J. S. Sansanwal Marg. New Delhi 110016, INDIA

TITLEInteracting Urn Schemes

ABSTRACT:  In this talk we will introduce few models of "interactive urns" with the goal of obtaining a limiting distribution which may be considered as an example of a "self-organized criticality". We will show that if the interactions are defined via a finite or infinite network which is a Directed Acyclic Graph (DAG) with no vertex having an infinite line of descent, then limit exists for fairly general class of replacements including Pólya-type replacements. We will further show that one can describe the limit as a solution of a Dirichlet Problem on an appropriate space of measures. We will further show that under appropriate assumption on the replacement matrices, second order asymptotic can also be computed and they follow a similar pattern as that of similar classical theory. If time permits, we will also indicate what happens if infinite line of descent is present. [This is a joint work with my current Ph.D. student Mr. Deborshi Das].

PLACE:  Zoom (link attached below). 

ORGANIZERS: V. Bogdan (The Catholic University of America), P. Kainen (Georgetown University), R. Kalpathy (The Catholic University of America), and A. Levin (The Catholic University of America).

Tel: 202-319-5221202-319- 5222.    Fax: 202-319-5231.  E-mail:levin@cua.edu

Web page:  
https://mathematics.catholic.edu/faculty-and-research/mathematics-seminar/index.html

The presentations will be given via Zoom (from 8:00 p.m. to 9:00 p.m. ET).   The following is the information about the corresponding link.

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https://cua.zoom.us/j/92661437403

Meeting ID: 926 6143 7403

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