Law of the iterated logarithm for some Markov operators-Reference-Cited by-同舟云学术

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Law of the iterated logarithm for some Markov operators

Published:2016-03-09 Issue:1-2 Volume:97 Page:91-112
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Hille Sander¹,Horbacz Katarzyna²,Szarek Tomasz³,Wojewódka Hanna⁴⁵

Affiliation:

1. Mathematical Institute, Leiden University, P.O. Box 9512, 2300 RA Leiden, Netherlands. E-mail: shille@math.leidenuniv.nl

2. Institute of Mathematics, University of Silesia, Bankowa 14, 40-007 Katowice, Poland. E-mail: horbacz@math.us.edu.pl

3. Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland. E-mail: szarek@intertele.pl

4. Institute of Mathematics, Institute of Theoretical Physics and Astrophysics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

5. National Quantum Information Center of Gdańsk, ul. Wł. Andersa 27, 81-824 Sopot, Poland. E-mail: hwojewod@mat.ug.edu.pl

Publisher

IOS Press

Subject

General Mathematics

Reference21 articles.

1. [1]P. Billingsley, Convergence of Probability Measures, Wiley, New York, 1968.

2. [2]V.I. Bogachev, Measure Theory, Vol. I, Springer-Verlag, Berlin, 2007.

3. An invariance principle for the law of the iterated logarithm for some Markov chains;Bołt;Studia Math.,2012

4. Convergence de la réparition empirigue vers la réparition théorétique;Fortet;Ann. Sci. École Norm. Sup.,1953

5. Exponential mixing properties of stochastic PDEs through asymptotic coupling;Hairer;Probab. Theory Related Fields,2002

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1. The law of the iterated logarithm for random interval homeomorphisms;Israel Journal of Mathematics;2021-11-25

2. The Strassen invariance principle for certain non-stationary Markov–Feller chains;Asymptotic Analysis;2020-12-02

3. Continuous dependence of an invariant measure on the jump rate of a piecewise-deterministic Markov process;Mathematical Biosciences and Engineering;2020

4. Limit theorems for certain stochastic models for gene regulatory networks;AIP Conference Proceedings;2018

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