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math.NT2023★ 1 cited
Connectivity of Markoff mod-p graphs and maximal divisors
Jillian Eddy, Elena Fuchs, Matthew Litman +2
Markoff mod- graphs are conjectured to be connected for all primes . In this paper, we use results of Chen and Bourgain, Gamburd, and Sarnak to confirm the conjecture for all…
math.NT2021★ 1 cited
Asymptotic Density of Apollonian-Type Packings
Matthew Litman, Arseniy Sheydvasser
We consider two seemingly unconnected problems: first, under what circumstances are arithmetic groups like SL(2,O) generated by elementary matrices; second, when do certain classes…