Mikołaj Frączyk

activity

20142026

most citedStrong Limit Multiplicity for arithmetic hyperbolic surfaces and

3

-manifolds

9 citations · 18 across the 21 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.NT2018

On the optimal rate of equidistribution in number fields

Mikolaj Fraczyk, Anna Szumowicz

Let $k$ be a number field. We study how well can finite sets of $O_{k}$ equidistribute modulo powers of prime ideals, for all prime ideals at the same time. Our main result…

math.AT2018

Growth of mod $- 2$ homology in higher rank locally symmetric spaces

Mikolaj Fraczyk

Let $X$ be a higher rank symmetric space or a Bruhat-Tits building of dimension at least $2$ such that the isometry group of $X$ has property $(T)$ . We prove that for every torsion…

math.GR2018

Kesten's theorem for uniformly recurrent subgroups

Mikolaj Fraczyk

We prove an inequality on the difference between the spectral radius of the Cayley graph of a group $G$ and the spectral radius of the Schreier graph $H \ G$ for any subgro…

On the optimal rate of equidistribution in number fields

Growth of mod−2 homology in higher rank locally symmetric spaces

Kesten's theorem for uniformly recurrent subgroups

Growth of mod $- 2$ homology in higher rank locally symmetric spaces