The Fall 2006 Joint Meeting of the
APS and AAPT New England Sections
Plenary Talk
"The Physics (and Mathematics) of Sports Records"
Beatte Schmittmann
Virginia Tech
How are records set and broken? Are there simple mathematical techniques
which would help us approach this question? I will present a simple
introduction to the statistics of extreme values. Motivated by an
example from sports records, I will discuss the distribution, averages
and lifetimes for a simplified model of such "records." Our input data
are sequences of independent random numbers all of which are generated
from the same probability distribution. A remarkable universality
emerges: a number of results, including the lifetime histogram, are
universal, that is, independent of the underlying distribution.
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