INVERSION OF A MAPPING ASSOCIATED WITH THE AOMOTO–FORRESTER SYSTEM

DOI10.1142/S0129055X13430095zbMath1348.37088arXiv1302.1320MaRDI QIDQ2871278

Jean-Pierre Françoise, Ryu Sasaki, Raquel Caseiro

Publication date: 22 January 2014

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

Full work available at URL: https://arxiv.org/abs/1302.1320

zbMATH Keywords

Hamilton-Jacobi equationarrangement of hyperplanesBirkhoff normal formdiagrammatic expansions

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Cites Work

• Unnamed Item
• Inversion problem, Legendre transform and inviscid Burgers equations
• Canonical partition function of Hamiltonian systems and the stationary phase formula
• The successive derivatives of the period function of a plane vector field
• Liouville integrability of classical Calogero-Moser models
• Lectures on celestial mechanics. Transl. from the German by C. I. Kalme.
• On the calculation of an integral
• Quantum Calogero-Moser models: integrability for all root systems
• Algebraic linearization of dynamics of Calogero type for any Coxeter group
• Quadratic algebra associated with rational Calogero-Moser models
• New proofs for the Abhyankar-Gurjar inversion formula and the equivalence of the Jacobian conjecture and the vanishing conjecture
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Calogero-Moser Models. V: Supersymmetry and Quantum Lax Pair
• Pendulum, elliptic functions, and relative cohomology classes
• Rigid motions: Action-angles, relative cohomology and polynomials with roots on the unit circle