wjgilbert@watmath.waterloo.edu (William J. Gilbert) (02/16/88)
UNIVERSITY OF WATERLOO
DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE SEMINAR
AND
FRACTAL GEOMETRY AND DYNAMICAL SYSTEMS SEMINAR SERIES
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TITLE: Correlation Dimension and Data Set Size
SPEAKER: Prof. Christopher Essex, Dept. of Applied Mathematics,
University of Western Ontario
DATE: Tuesday, February 23, 1988
TIME: 3:30 p.m.
ROOM: MC 1056
ABSTRACT: The effective development of ideas arising in connection
with the study of chaos for application to practical problems depends
upon our ability to determine dimension from time series. A straight
forward technique for estimating data requirements for the computation
of scaling dimension is introduced. It confirms the validity of the
computations of scaling dimension for the simple maps and systems of
equations to which the correlation (scaling) dimension algorithm was
originally applied. However it does not support computations of this
dimension done on time series arising from meteorological or
neurobiological measurements.
Coffee and cake will be served in MC 6123 after the talk.