1 citations · 3 across the 8 of their papers we have counts for
12 papers
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…
Dimension-free estimates for the discrete spherical maximal functions
Mariusz Mirek, Tomasz Z. Szarek, Błażej Wróbel
We prove that the discrete spherical maximal functions (in the spirit of Magyar, Stein and Wainger) corresponding to the Euclidean spheres in with dyadic radii have $…
On uniqueness of invariant measures for random walks on HOMEO(R)
Sara Brofferio, Dariusz Buraczewski, Tomasz Szarek
We consider random walks on the group of orientation-preserving homeomorphisms of the real line . In particular, the fundamental question of uniqueness of an invariant…
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…