Proof of the Kurlberg-Rudnick Rate Conjecture
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🧮 math-ph
math.MPmath.RTquant-ph
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conjecturemodelproofquantumbarcelonaberkeleyberry-hannaydimensional
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In this paper we present a proof of the {\it Hecke quantum unique ergodicity conjecture} for the Berry-Hannay model, a model of quantum mechanics on a two dimensional torus. This conjecture was stated in Z. Rudnick's lectures at MSRI, Berkeley, 1999 and ECM, Barcelona, 2000.
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