Asst. Prof. Mark Wilson
Department of Mathematical Sciences
The University of Montana
Asymptotics of multivariate sequences
Sequences (an) of complex numbers (usually integers) indexed by lattice points in the positive orthant of Rd are ubiquitous in mathematics, particularly in counting problems and discrete probability. For many purposes, it is desirable to understand the asymptotic behavior of an as n approaches infinity.
Analytic methods involving the study of the sequence's generating function have proven to be very powerful when d=1. Surprisingly, analogous techniques for several variables are almost entirely missing from the literature.
I will report on a major ongoing project with Robin Pemantle (Ohio State) which aims to create a decent multivariate theory. I will outline the basic problem, our approach and some results to date. Several examples will be discussed.
Thursday, 30 March 2000
4:10 p.m. in Math 109
Coffee/treats at 3:30 p.m. Math 104 (lounge)
Spring 2000 Colloquium Schedule | Mathematical Sciences home | The University of Montana home