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College of Liberal Arts and Sciences University of Florida

2003–2004 Erdős Colloquium:
Stephen Smale

Shannon sampling, learning theory, and reconstruction functions from point values

Stephen Smale

Speaker: Stephen Smale, University of California, Berkeley, and Toyota Technical Institute, Chicago
Date and time: Monday, March 1, 2004, 4:00–5:00 p.m.
Location: Turlington Hall, Room L011
Opening remarks: Neil Sullivan, Dean of the College of Liberal Arts and Sciences
Refreshments: After the lecture, Little Hall, Room 339

Abstract

Shannon sampling is a special case of the general problem of reconstruction of a function from its values at a discrete set of points. This talk will deal with age-old algorithms for solving this problem and new estimates for their error and efficiancy.

About the speaker

Professor Stephen Smale, one of the world’s most eminent mathematicians, has made pioneering contributions to both pure and applied mathematics. For his pathbreaking work in topology and dynamical systems he was awarded the Fields Medal in 1966. In the late sixties he moved into applications – modelling physical processes of dynamical systems, the n-body problem and electric circuit theory, computation questions involving algorithms, among others. For his lifelong contributions he received the National Medal of Science in 1996. He has been professor of mathematics at Berkeley since 1964. He retired from Berkeley in 1995 and was professor at the City University of Hong Hong until his recent move to the Toyota Technical Institute, Chicago.