Error rates in the Darling-Kac law

• Autorzy: Dalia Terhesiu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37A50: Relations with probability theory and stochastic processes
• 37A30: Ergodic theorems, spectral theory, Markov operators
• 60Fxx: Limit theorems
• 37E05: Maps of the interval (piecewise continuous, continuous, smooth)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 220
• Numer: 2
• Strony: 101-117

Daty

wydano

2014

Twórcy

autor

Dalia Terhesiu

• Dipartimento di Matematica, Università di Roma (Tor Vergata), Via della Ricerca Scientifica, 00133 Roma, Italy

Identyfikatory

DOI

10.4064/sm220-2-1