caa a22 4500 467891753 CHVBK 20180406152751.0 cr unu---uuuuu 170328e20060401xx s 000 0 eng 10.1007/s10955-006-9041-y doi (NATIONALLICENCE)springer-10.1007/s10955-006-9041-y Galatolo Stefano Dipartimento di matematica applicata, Universita di Pisa, Pisa, Italia aut Hitting Time and Dimension in Axiom A Systems, Generic Interval Exchanges and an Application to Birkoff Sums [Elektronische Daten] [Stefano Galatolo] In this note we prove that for equilibrium states of axiom A systems having positive dimension the time τ B (x) needed for a typical point x to enter for the first time in a typical ball B with radius r behaves for small r as τ B (x)∼ r −d where d is the local dimension of the invariant measure at the center of the ball. A similar relation is proved for a full measure set of interval exchanges. Some applications to Birkoff averages of unbounded (and not L 1) functions are shown. Springer Science+Business Media, Inc., 2006 Dimension nationallicence quantitative recurrence nationallicence Axiom A nationallicence interval exchanges nationallicence Birkoff sums nationallicence Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/1(2006-04-01), 111-124 0022-4715 123:1<111 2006 123 10955 https://doi.org/10.1007/s10955-006-9041-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9041-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Galatolo Stefano Dipartimento di matematica applicata, Universita di Pisa, Pisa, Italia aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/1(2006-04-01), 111-124 0022-4715 123:1<111 2006 123 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer