Kesten-McKay law for the Markoff surface mod \(p\)

DOI10.5802/ahl.71OpenAlexW3121461622WikidataQ114843564 ScholiaQ114843564MaRDI QIDQ2077155

Michael Magee, Matthew De Courcy-Ireland

Publication date: 24 February 2022

Published in: Annales Henri Lebesgue (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.00113

zbMATH Keywords

cubic surfacesgraphs and groupsKesten-McKay lawMarkov surface

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Cubic and quartic Diophantine equations (11D25) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Dynamical systems over finite ground fields (37P25)

Related Items (3)

Polynomial Equations in Subgroups and Applications ⋮ Non-planarity of Markoff graphs \(\mod p\) ⋮ Experiments with the Markoff Surface

Cites Work

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• Dynamics on character varieties and Malgrange irreducibility of Painlevé VI equation
• The expected eigenvalue distribution of a large regular graph
• Spectra of elements in the group ring of SU(2)
• The Markoff group of transformations in prime and composite moduli. With an appendix by Dan Carmon.
• The cycle structure of a Markoff automorphism over finite fields
• The Markoff-Hurwitz equations over number fields
• Markov's Theorem and 100 Years of the Uniqueness Conjecture
• Symmetric Random Walks on Groups
• Some extremal functions in Fourier analysis
• CUBIC SURFACES OF MARKOV TYPE
• On the Structure of Graphs of Markoff Triples

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