Consistency on cubic lattices for determinants of arbitrary orders

DOI10.1134/S0081543809030110zbMath1259.39005arXiv0910.2044OpenAlexW2962931819MaRDI QIDQ1048455

Oleg I. Mokhov

Publication date: 12 January 2010

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

Full work available at URL: https://arxiv.org/abs/0910.2044

zbMATH Keywords

consistencydeterminantsdiscrete equationscubic lattices

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Stability theory for difference equations (39A30)

Cites Work

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• Discrete nonlinear hyperbolic equations. Classification of integrable cases
• Classification of three-dimensional integrable scalar discrete equations
• Lax pair for the Adler (lattice Krichever-Novikov) system
• Cauchy problem for integrable discrete equations on quad-graphs
• Classification of integrable equations on quad-graphs. The consistency approach
• The discrete and continuous Painlevé VI hierarchy and the Garnier systems
• On organizing principles of discrete differential geometry. Geometry of spheres
• On consistency of determinants on cubic lattices
• A new two-dimensional lattice model that is  consistent around a cube

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