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math.DS2022
An abstract spectral approach to horospherical equidistribution
Christopher Lutsko
This paper introduces an abstract spectral approach to prove effective equidistribution of expanding horospheres in hyperbolic manifolds. The method, which is motivated by the appr…
math.NT2022★ 1 cited
Full Poissonian Local Statistics of Slowly Growing Sequences
Christopher Lutsko, Niclas Technau
Fix , then by Fejér's theorem is uniformly distributed if and only if . We sharpen this by showing that all correlation funct…
math.GT2022★ 2 cited
Effective counting in sphere packings
Alex Kontorovich, Christopher Lutsko
Given a Zariski-dense, discrete group, , of isometries acting on -dimensional hyperbolic space, we use spectral methods to obtain a sharp asymptotic formula for the gro…