Hecke graphs, Ramanujan graphs and generalized duality transformations for lattice spin systems

DOI10.1134/S0081543811080190zbMath1301.82011OpenAlexW2059596792MaRDI QIDQ741184

M. I. Monastyrskij

Publication date: 10 September 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543811080190

zbMATH Keywords

lattice spin modelsRamanujan graphsHecke graphs

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Directed graphs (digraphs), tournaments (05C20)

Cites Work

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• Ramanujan graphs
• Bounds for multiplicities of automorphic representations
• Spectra of Cayley graphs
• Hecke surfaces and duality transformations in lattice spin systems
• Random construction of Riemann surfaces
• Generating a random permutation with random transpositions
• Generalized Kramers–Wannier duality for spin systems with non-commutative symmetry

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