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SumTopo 2001, Sixteenth Summer Conference on Topology and its Applications
July 18-21, 2001
City College of CUNY
New York, NY, USA

Organizers
Ralph Kopperman (City College, CUNY), Susan Andima (CW Post College, LIU), Gerald Itzkowitz (Queens College, CUNY), Prabudh Misra (College of Staten Island, CUNY), Shelly Rothman (CW Post College, LIU), Aaron Todd (Baruch College, CUNY)

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Asymptotic Measures for smooth systems
by
Sheldon Newhouse
Michigan State University

It is well known that iterating simple mappings such as the quadratic map x -> r x(1 - x) or its two dimensional cousin (x,y) -> ( r x (1 - x) - by, x) often produces interesting and complicated structures. It seems that the best way to rigorously describe the structures which appear is through the use of so-called asymptotic probability measures. We will give a non-technical survey of recent developments on such objects emphasizing geometric as well as analytic concepts.

Date received: June 6, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagw-92.