9 citations · 18 across the 21 of their papers we have counts for
4 papers · 1 filter
Minimal Submanifolds and Waists of Locally Symmetric Spaces
Mikolaj Fraczyk, Ben Lowe
We study the higher expansion properties of locally symmetric spaces, with a particular focus on octonionic hyperbolic manifolds. We show that codimension two minimal submanifolds…
Zariski dense non-tempered subgroups in higher rank of nearly optimal growth
Mikolaj Fraczyk, Hee Oh
We construct the first example of a Zariski-dense, discrete, non-lattice subgroup of a higher rank simple Lie group , which is non-tempered in the sense that the quasi-reg…
Automorphic density estimates and optimal Diophantine exponents
Mikolaj Fraczyk, Alexander Gorodnik, Amos Nevo
The present paper is devoted to establishing an optimal approximation exponent for the action of an irreducible uniform lattice subgroup of a product group on its proper factors. P…
Spectral non-concentration near the top for unimodular random graphs
Mikolaj Fraczyk, Ben Hayes, Madhu Sudan +1
In recent work on equiangular lines, Jiang, Tidor, Yuan, Zhang, and Zhao showed that a connected bounded degree graph has sublinear second eigenvalue multiplicity. More generally t…