69 citations · 257 across the 37 of their papers we have counts for
4 papers · 1 filter
Polynomial averages and pointwise ergodic theorems on nilpotent groups
Alexandru D. Ionescu, Ákos Magyar, Mariusz Mirek +1
We establish pointwise almost everywhere convergence for ergodic averages along polynomial sequences in nilpotent groups of step two of measure-preserving transformations on -fi…
Some remarks on oscillation inequalities
Mariusz Mirek, Wojciech Słomian, Tomasz Z. Szarek
In this paper we establish uniform oscillation estimates on with for the polynomial ergodic averages. This result contributes to a certain problem about u…
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…