Error rates in the Darling-Kac law

Dalia Terhesiu

Studia Mathematica (2014)

  • Volume: 220, Issue: 2, page 101-117
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Dalia Terhesiu. "Error rates in the Darling-Kac law." Studia Mathematica 220.2 (2014): 101-117. <http://eudml.org/doc/285842>.

@article{DaliaTerhesiu2014,
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.},
author = {Dalia Terhesiu},
journal = {Studia Mathematica},
keywords = {convergence rates; Darling-Kac law; stable limit laws; infinite ergodic theory; Pomeau-Manneville maps; first return map; first return time},
language = {eng},
number = {2},
pages = {101-117},
title = {Error rates in the Darling-Kac law},
url = {http://eudml.org/doc/285842},
volume = {220},
year = {2014},
}

TY - JOUR
AU - Dalia Terhesiu
TI - Error rates in the Darling-Kac law
JO - Studia Mathematica
PY - 2014
VL - 220
IS - 2
SP - 101
EP - 117
AB - 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.
LA - eng
KW - convergence rates; Darling-Kac law; stable limit laws; infinite ergodic theory; Pomeau-Manneville maps; first return map; first return time
UR - http://eudml.org/doc/285842
ER -

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