Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems

DOI10.1007/s00220-014-2240-5zbMath1348.37098arXiv1403.2876OpenAlexW3105369713MaRDI QIDQ2018289

Alexander Ivanovich Bobenko, Yuri Borisovich Suris

Publication date: 14 April 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.2876

zbMATH Keywords

Dirichlet energyconsistency as integrabilitypluri-Lagrangian structure

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Discrete version of topics in analysis (39A12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Discrete potential theory (31C20) Plurisubharmonic functions and generalizations (32U05)

Related Items

Quantum variational principle and quantum multiform structure: the case of quadratic Lagrangians, Lagrangian 3-form structure for the Darboux system and the KP hierarchy, Lagrangian multiforms on Lie groups and non-commuting flows, A variational principle for discrete integrable systems, Discrete time Toda systems, Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs, Variational symmetries and pluri-Lagrangian systems in classical mechanics, On the Lagrangian Structure of Integrable Hierarchies, On the Variational Interpretation of the Discrete KP Equation

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