14 citations · 28 across the 8 of their papers we have counts for
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math.DS2015★ 1 cited
Large Deviations and Effective Equidistribution
Ilya Khayutin
We study large deviations for measurable averaging operators on state spaces of dynamical systems. Our main motivation is the Hecke operators on the modular curve Y_0(p^n) and thei…
math.NT2015★ 3 cited
Arithmetic of Double Torus Quotients and the Distribution of Periodic Torus Orbits
Ilya Khayutin
We describe new arithmetic invariants for pairs of torus orbits on groups isogenous to an inner form of over a number field. These invariants are constructed by st…