Speaker: Tyrus Berry, Mathematical Sciences, George Mason University
Title: Convergence of periodically-forced rank-type equations
Consider a difference equation which at each step takes on the k-th
largest output of m functions of the previous m terms of the sequence.
If the functions are also allowed to change periodically as the
difference equation evolves this is analogous to a differential
equation with periodic forcing. A large class of such non-autonomous
difference equations are shown to converge to a periodic limit which
is independent of the initial condition. The period of the limit does
not depend on how far back each term is allowed to look back in the
sequence, and is in fact equal to the period of the forcing.
Time: Friday, Sep. 17, 2010, 1:30-2:30 p.m.
Place: Science and Tech I, Room 242
Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, VA 22030-4444
Tel. 703-993-1460, Fax. 703-993-1491