Campus Event Calendar
Event Entry
What and Who
The Polya Process and Applications
Hosam Mahmoud
Max-Planck-Institut für Informatik - D1
AG1 Mittagsseminar (basic education)
Professor
Department of Statistics
George Washington University
AG 1, AG 4, RG1, MMCI, AG 3, AG 5, SWS
AG Audience
English
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Date, Time and Location
Tuesday, 23 June 2009
13:00
30 Minutes
E1 4
024
Saarbrücken
Abstract
We investigate the Polya process, which underlies an urn of white and blue balls growing in real time. A partial differential equation governs the evolution of the process. Some special cases are amenable to exact and asymptotic solution: they include the (forward and backward) diagonal processes, and the Ehrenfest process.
Applications of standard (discrete) urns and their analogue when embedded in real time include several classes of random trees that have applications in computer science as data structures and models for the operation of algorithms. There are additional applications in epidemiology and philology. We shall present some of these applications.
Contact
Amr Elmasry
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Amr Elmasry, 05/20/2009 14:50 -- Created document.