A+ CATEGORY SCIENTIFIC UNIT

Error rates in the Darling–Kac law

Volume 220 / 2014

Dalia Terhesiu Studia Mathematica 220 (2014), 101-117 MSC: 37A30, 37A50, 37E05, 60Fxx. DOI: 10.4064/sm220-2-1

Abstract

This work provides rates of convergence in the Darling–Kac law for infinite measure preserving Pomeau–Manneville (unit interval) maps. Along the way we obtain error rates for the stable law associated with the first return map and the first return time to some suitable set inside the unit interval.

Authors

  • Dalia TerhesiuDipartimento di Matematica
    Università di Roma (Tor Vergata)
    Via della Ricerca Scientifica
    00133 Roma, Italy
    e-mail

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