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hep-thFeb 3, 2008
10
citations (OpenAlex)
authors
  • Claude Viallet
institutions
  • Laboratoire de Physique Théorique et Hautes Energies
arXiv abstractPDF
paper

Integrable Lattice Maps: Q5​, a Rational Version of Q4​

arXiv:0802.0294

Abstract

We give a rational form of a generic two-dimensional "quad" map, containing the so-called Q4​ case, but whose coefficients are free. Its integrability is proved using the calculation of algebraic entropy.

References in corpus (2)

  • Integrable lattice equations and their growth properties
  • Algebraic Entropy for lattice equations

Cited by in corpus (6)

  • Integrability and Symmetries of Difference Equations: the Adler-Bobenko-Suris Case
  • Multi-Component Extension of CAC Systems
  • On the integrability of a new lattice equation found by multiple scale analysis
  • Darboux integrability of trapezoidal H4 and H6 families of lattice equations I: First integrals
  • Reconstructing a Lattice Equation: a Non-Autonomous Approach to the Hietarinta Equation
  • On the degree growth of iterated birational maps
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