1 citations · 3 across the 8 of their papers we have counts for
4 papers · 1 filter
Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres
Alex Iosevich, Bartosz Langowski, Mariusz Mirek +1
We establish an asymptotic formula for the number of lattice points in the sets \[ \mathbf S_{h_1, h_2, h_3}(λ): =\{x\in\mathbb Z_+^3:\lfloor h_1(x_1)\rfloor+\lfloor h_2(x_2)\rfloo…
Distortion in the group of circle homeomorphisms
Juliusz Banecki, Tomasz Szarek
Let be the group of piecewise--affine circle homeomorphisms or the group ${\Diff}^{\infty}(\mathbb R/\mathbb Z)$ of smooth circle diffeomorphisms. A c…
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…
Generic invariant measures for iterated systems of interval homeomorphisms
Wojciech Czernous, Tomasz Szarek
It is known that Iterated Function Systems generated by orientation preserving homeomorphisms of the unit interval admit a unique invariant measure on . The setup for this r…