Quantum Chaos on Random Cayley Graphs of SL 2[Z/pZ]

DOI10.1080/10586458.2017.1403982zbMath1420.81013arXiv1705.02993OpenAlexW2774660126MaRDI QIDQ5228850

Naser T. Sardari, Igor Rivin

Publication date: 13 August 2019

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02993

zbMATH Keywords

quantum chaosgraphs and groupsrepresentations of finite symmetric groupsexplicit machine computation and programs

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Quantum chaos (81Q50) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items (3)

Cutoff on graphs and the Sarnak-Xue density of eigenvalues ⋮ Optimal strong approximation for quadratic forms ⋮ Experiments with the Markoff Surface

Cites Work

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• Limitations on Explicit Constructions of Expanding Graphs
• Expander graphs and their applications
• The Distribution of the Largest Nontrivial Eigenvalues in Families of Random Regular Graphs
• Some extremal functions in Fourier analysis
• Regular and irregular semiclassical wavefunctions
• Eigenvalue spacings for quantized cat maps
• Fast Fourier Analysis for SL₂over a Finite Field and Related Numerical Experiments

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