2004/04/29 by Shamgar Gurevich, Ronny Hadani, Gurevich, Shamgar +1
Chemistry · Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Chemical Thermodynamics and Molecular Structure #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #math-ph #math.AG #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.math-ph/0404074
In 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
openalex publication_date 2004/04/29 · arxiv created 2006/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In 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.