Séminaire de Théorie Analytique des Nombres et Problèmes Diophantiens

Le 14 février 2001

mercredi à 14h en salle de conférences

Yuji Ito (Tokai University)

Sequences of integers associated with ergodic infinite measure preserving transformations.

 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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