Experiments with the Markoff Surface

DOI10.1080/10586458.2019.1702123OpenAlexW3000583409WikidataQ126380084 ScholiaQ126380084MaRDI QIDQ5866501

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Publication date: 22 September 2022

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

Full work available at URL: https://arxiv.org/abs/1812.07275

zbMATH Keywords

cubic surfacesstrong approximationexpander graphsKesten-McKay law

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Cubic and quartic Diophantine equations (11D25) Expander graphs (05C48)

Related Items (3)

Arithmetic and dynamics on varieties of Markoff type ⋮ Nonabelian level structures, Nielsen equivalence, and Markoff triples ⋮ Non-planarity of Markoff graphs \(\mod p\)

Cites Work

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• \(\lambda_ 1\), isoperimetric inequalities for graphs, and superconcentrators
• Ramanujan graphs
• The expected eigenvalue distribution of a large regular graph
• Monodromy of certain Painlevé-VI transcendents and reflection groups
• The Markoff group of transformations in prime and composite moduli. With an appendix by Dan Carmon.
• Kesten-McKay law for the Markoff surface mod \(p\)
• The cycle structure of a Markoff automorphism over finite fields
• Continued fractions and the Markoff tree
• Markov's Theorem and 100 Years of the Uniqueness Conjecture
• NIELSEN EQUIVALENCE OF GENERATING PAIRS OF SL(2,q)
• On the least prime in an arithmetic progression and estimates for the zeros of Dirichlet L-functions
• Symmetric Random Walks on Groups
• On the Number of Markoff Numbers Below a Given Bound
• Difference Equations, Isoperimetric Inequality and Transience of Certain Random Walks
• Quantum Chaos on Random Cayley Graphs of SL 2[Z/pZ]

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