Philip Rudnick

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Sato-Tate Equidistribution of Kurlberg-Rudnick Sums-1 Sato-Tate Equidistribution of Kurlberg-Rudnick Sums

We prove equidistribution results for certain exponential sums that arise in the work of Kurlberg-Rudnick on "cat maps". We show (Theorems 1 and 2) that suitable normalizations of these sums behave like the traces of random matrices in SU(2). We also show that as a suitable parameter varies, the corresponding sums are statistically independent (Theorems 3 and 4). The main tools are Deligne's Eq...

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Proof of the Kurlberg-rudnick Rate Conjecture

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ژورنال

عنوان ژورنال: Physics Today

سال: 1983

ISSN: 0031-9228,1945-0699

DOI: 10.1063/1.2915769