Mikolaj Frkaczyk

activity

20182026

most citedBetti numbers of Shimura curves and arithmetic three--orbifolds

2 citations · 3 across the 4 of their papers we have counts for

collaborators

Showing math.PRShow all

2 papers · 1 filter

math.PR2026

$ASL_{n} (Z)$ invariant random subsets of $Z^{n}$

Mikołaj Frączyk, Simon Machado

We classify measures on ${0, 1}^{Z^{d}}$ , $d \geq 3$ , the space of subsets of $Z^{d}$ , which are invariant under all affine special linear transformations. In other…

math.PR2023★ 1 cited

Growth dichotomy for unimodular random rooted trees

Miklós Abert, Mikołaj Frączyk, Ben Hayes

We show that the growth of a unimodular random rooted tree $(T, o)$ of degree bounded by $d$ always exists, assuming its upper growth passes the critical threshold $d - 1$ . Thi…

ASLn​(Z) invariant random subsets of Zn

Growth dichotomy for unimodular random rooted trees

$ASL_{n} (Z)$ invariant random subsets of $Z^{n}$