Proof of the Ergodic Hypothesis
for Typical Hard Ball Systems |
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Authors: | Email author" target="_blank">Nándor?SimányiEmail author |
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Institution: | (1) Department of Mathematics, University of Alabama at Birmingham, Campbell Hall, 35294 Birmingham, Alabama, USA |
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Abstract: | We consider the system of
hard balls with masses
and radius r in the flat torus
of size
. We prove the ergodicity (actually, the Bernoulli mixing property) of such systems for almost
every selection
of the outer geometric parameters. This theorem complements my earlier result that proved the same, almost sure ergodicity for the
case
. The method of that proof was primarily dynamical-geometric, whereas
the present approach is inherently algebraic.
Communicated by Eduard ZehnderSubmitted 17/10/02, accepted 01/12/03 |
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Keywords: | |
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