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math.GR2024
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…
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 and the spectral radius of the Schreier graph for any subgro…