Mikolaj Frkaczyk

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20182026

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

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

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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.NT2026

Benjamini--Schramm convergence of arithmetic locally symmetric spaces

Mikołaj Frączyk, Sebastian Hurtado, Jean Raimbault

We prove that the thin parts of arithmetically defined locally symmetric space take up a negligible part of their volume and deduce asymptotic results on their Betti numbers.

ASLn​(Z) invariant random subsets of Zn

Benjamini--Schramm convergence of arithmetic locally symmetric spaces

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