3 citations · 4 across the 11 of their papers we have counts for
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Ergodicity of minimal actions of Thompson group on the circle
Klaudiusz Czudek
We show that every minimal action of Thompson group on the circle is ergodic with respect to the Lebesgue measure. If such action is not minimal then the Lebesgue measure…
On a problem of Ö. Stenflo
Klaudiusz Czudek, Tomasz Szarek
We construct an e-chain on a locally compact space with the unique stationary distribution such that the strong law of large numbers does not hold. This answers negatively the ques…
Exponential decay of correlations for random interval diffeomorphisms
Klaudiusz Czudek
We consider a finite number of orientation preserving interval diffeomorphisms and apply them randomly in such a way that the expected Lyapunov exponents at the boundary poin…
Lazutkin coordinates of the maximal symmetric periodic orbits on the ellipse
Klaudiusz Czudek
In De Simoi J., Kaloshin V., Wei Q. "Dynamical spectral rigidity among -symmetric strictly convex domains close to a circle" (Appendix B coauthored with H. Hezari) An…
Simple random walks on higher dimensional tori are mixing and not uniquely ergodic
Klaudiusz Czudek
It has been shown that in one dimension the environment viewed by the particle process (EVP process) in quasi periodic random environment is uniquely ergodic and mixing under mild…
The central limit theorem and rate of mixing for simple random walks on the circle
Klaudiusz Czudek, Dmitry Dolgopyat
We prove the Central Limit Theorem and superpolynomial mixing for environment viewed for the particle process in quasi periodic Diophantine random environment. The main ingredients…
Unique ergodicity of simple symmetric random walks on the circle
Klaudiusz Czudek
Fix an irrational number and a smooth, positive, real function on the circle. If current position is then in the next step jump to $x+…
Some counterexamples to the central limit theorem for random rotations
Klaudiusz Czudek
Fix an irrational number , and consider a random walk on the circle in which at each step one moves to or with probabilities provided the current position…
Ergodicity and central limit theorem for random interval homeomorphisms
Klaudiusz Czudek, Tomasz Szarek
The central limit theorem for Markov chains generated by iterated function systems consisting of orientation preserving homeomorphisms of the interval is proved. We study also ergo…
Alsedà-Misiurewicz systems with place-dependent probabilities
Klaudiusz Czudek
We consider systems of two specific piecewise linear homeomorphisms of the unit interval, so called the Alsedà-Misiurewicz systems, and investigate the basic properties of Markov c…