Proof of the Kurlberg-Rudnick Rate Conjecture

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dc.creatorGurevich, Shamgar
dc.creatorHadani, Ronny
dc.date2004-04-29
dc.date2006-04-23
dc.date.accessioned2026-07-07T06:36:40Z
dc.date.available2026-07-07T06:36:40Z
dc.descriptionIn this paper we present a proof of the {\it Hecke quantum unique ergodicity rate conjecture} for the Berry-Hannay model. A model of quantum mechanics on the 2-dimensional torus. This conjecture was stated in Z. Rudnick's lectures at MSRI, Berkeley 1999 and ECM, Barcelona 2000.
dc.descriptionIn this version we add a proof that the character sheaf of the Heisenberg-Weil representation is perverse, geometrically irreducible of pure weight 0. Moreover, we supply invariant formulas for the character sheaf on an appropriate open set, and we give also another alternative proof for the rate conjecture that uses our invariant formulas
dc.identifierhttps://arxiv.org/abs/math-ph/0404074
dc.identifierhttp://arxiv.org/abs/math-ph/0404074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100156
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.subjectQuantum Physics
dc.titleProof of the Kurlberg-Rudnick Rate Conjecture
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