Ben-Avraham: On the Ordering of Random Walkers on the Line
Apr
28
Mon 4:00 PM
When Monday, April 28, 2008
Time
4:00 PM - 5:00 PM
Where Tech M416
Contact Danielle Jackson
847-491-5586
Group McCormick-Colloquia Engineering Sciences and Applied Mathematics
Applied Math Colloquium
Title: On the Ordering of Random Walkers on the Line
Speaker: Professor Daniel Ben-Avraham, Clarkson University
Abstract: The survival probability of various orderings of random walkers on the line is a problem that has attracted considerable interest among probabilists, applied mathematicians, and mathematical physicists. In this talk, I shall highlight connections between N walkers and the Poisson equation in N-1 dimensions, and to the eigenvalues of random matrices, including Wigner's celebrated semi-circular law and the recent discovery of Tracy and Widom concerning the edge of the distribution. This talk will include background material, accessible to non-experts and students. New results and open problems of interest to specialists will be presented as well.
Title: On the Ordering of Random Walkers on the Line
Speaker: Professor Daniel Ben-Avraham, Clarkson University
Abstract: The survival probability of various orderings of random walkers on the line is a problem that has attracted considerable interest among probabilists, applied mathematicians, and mathematical physicists. In this talk, I shall highlight connections between N walkers and the Poisson equation in N-1 dimensions, and to the eigenvalues of random matrices, including Wigner's celebrated semi-circular law and the recent discovery of Tracy and Widom concerning the edge of the distribution. This talk will include background material, accessible to non-experts and students. New results and open problems of interest to specialists will be presented as well.
