The Department of Mathematics and Statistics 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.
Fall, 2025
THE CATHOLIC UNIVERSITY OF AMERICA
Washington, DC 20064
SEMINAR IN FUNCTIONAL ANALYSIS
AND RELATED AREAS
Wednesday, October 29, 2025
5:15 p.m. - 6:15 p.m. (including a coffee break)
SPEAKER : Professor Hosam Mahmoud
Department of Statistics
The George Washington University
TITLE: Evolution of Pólya urns in real time: a connection to partial differential equations.
ABSTRACT: Pólya urns are embedded in real time in a poissonized fashion endowed with memorylessness. This mode of evolution leads to partial differential equations. These equations are solved exactly in a number of special cases aided by the presence of invariants. The exact solutions lead to asymptotic Gamma distributions. The special cases include the original Pólya-Eggenberger urn, Ehrenfest urn, the Appolonian urn, and others. Given time, some of these special cases will be presented and the useful nexus to the method of moments will be discussed to reveal the connection to the asymptotic distributions.
PLACE: Aquinas Hall, Room 108. The talk will also be held on Zoom from 5:15 p.m. to 6:15 p.m. (ET). See the information about the corresponding link 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: 202-319-5221 E-mail:levin@cua.edu
Web page: https://mathematics.
The talk will be on Zoom as well (from 5:15 p.m. to 6:15 p.m. ET). The following is the information about the corresponding link.
| Meeting Topic: | SEMINAR IN FUNCTIONAL ANALYSIS AND RELATED AREAS |
| Meeting Time: | Wednesdays 05:15 PM Eastern Time (US and Canada) During the Fall and Spring Semesters |
| Zoom link: | https://cua.zoom.us/s/ |
| Meeting ID: | 926 6143 7403 |