AVVISO DI SEMINARIO

Matematica

Mercoledì 28 settembre 2005 Scuola Normale Superiore

Pisa

(Sala Conferenze - Collegio Puteano)

ore 14.00

Dong Han KIM

Korean Institute for Advanced Studies, Seoul.

Terrà un seminario dal titolo:

"The dynamical Borel-Cantelli lemma for interval maps"

Abstract The dynamical Borel-Cantelli lemma for some interval maps are considered.

For expanding maps with bounded derivatives any sequence of interval satisfies the dynamical Borel-Cantelli lemma . If a map has an indifferent fixed point then the dynamical Borel-Cantelli lemma does not hold even in the case that the map has a finite absolutely continuous invariant measure and summable decay of correlations.

ore 15.00

Kyewon Koh PARK Korean Institute for Advanced Studies, Seoul.

Terrà un seminario dal titolo:

"Complexity of dynamical systems via subgroup actions and entropy dimension"

Abstract To study the complexity of deterministic dynamical systems we introduce notions of directional entropy and entropy dimension as hisomorphism invariants. We investigate the properties of these notions and also the relations between them.

Tutti gli interessati sono invitati a partecipare.

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