Central Limit Theorem for Random “Contractive” Functions on Interval
By: Maciej Block, Wiktoria Kacprzak and Dorian Falęcki
References
- K. Czudek and T. Szarek, Ergodicity and central limit theorem for random interval homeomorphisms, Israel J. Math. 239 (2020), no. 1, 75–98. DOI: 10.1007/s11856-020-2046-4.
- T. Komorowski, Sz. Peszat, and T. Szarek, On ergodicity of some Markov processes, Ann. Probab. 38 (2010), no. 4, 1401–1443. DOI: 10.1214/09-AOP513.
- G. Łuczyńska, Ergodyczność oraz twierdzenia graniczne dla stochastycznych układów dynamicznych na okręgu, PhD thesis, Uniwersytet Gdański, Gdańsk, 2022.
- D. Malicet, Random walks on Homeo(S1), Comm. Math. Phys. 356 (2017), no. 3, 1083–1116.
- M. Maxwell and M. Woodroofe, Central limit theorems for additive functionals of Markov chains, Ann. Probab. 28 (2000), no. 2, 713–724.
Language: English
Page range: 1 - 12
Submitted on: Dec 26, 2024
Accepted on: Mar 12, 2025
Published on: Apr 26, 2025
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Related subjects:
© 2025 Maciej Block, Wiktoria Kacprzak, Dorian Falęcki, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.