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math.NT2020
On the distribution of lattice points on hyperbolic circles
Dimitrios Chatzakos, Par Kurlberg, Stephen Lester +1
We study the fine distribution of lattice points lying on expanding circles in the hyperbolic plane . The angles of lattice points arising from the orbit of the modular…
math.NT2020
Quantum ergodicity for shrinking balls in arithmetic hyperbolic manifolds
Dimitrios Chatzakos, Robin Frot, Nicole Raulf
We study a refinement of the quantum unique ergodicity conjecture for shrinking balls on arithmetic hyperbolic manifolds, with a focus on dimensions and . For the Eisens…