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Séminaire de Théorie Analytique des Nombres et Problèmes
Diophantiens

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Le 14 février 2001

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mercredi à 14h en salle de conférences

Yuji Ito (Tokai University)

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Sequences of integers associated with ergodic infinite
measure preserving transformations.*

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**Abstract**:
Infinite measure preserving ergodic transformations are known to exhibit asymptotic behaviors which are quite
different from those of more familiar finite measure preserving ones. Based on this fact one can associate
to such transformations classes of infinite sequences of integers, which provide isomorphism invariants for such
transformations.

In this talk we discuss density and other number theoretic properties of such sequences, particularly of the so-called
weakly wandering and dissipative sequences.
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page d'accueil.
stan@math.u-bordeaux.fr