 98273 F.Gentili, Dipart. di Fisica, Univ. di Bologna, G.Morchio, Dipart. di Fisica, Univ. di Pisa
 Irreversible weak limits of classical dynamical systems
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Apr 18, 98

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Abstract. Limits of classical dynamical systems depending on a parameter are
considered, leading in general to irreversible time evolutions
and stochastic maps.
The appearence of irreversibility is characterized in terms of
convergence properties of the corresponding automorphisms of
the observable algebra.
The resulting maps are shown to be
automatically \lq\lq bistochastic\rq\rq .
Necessary and sufficient conditions are given for the limits to
define a time independent Markov process.
A model is studied for a particle interacting with fixed
configurations of external obstacles.
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98273.tex