On the complexity of some birational transformations

DOI10.1088/0305-4470/39/14/009zbMath1086.14504arXivmath-ph/0503074OpenAlexW2151127399MaRDI QIDQ5201614

Claude Viallet, J.-Ch. Anglès D'Auriac, Jean-Marie Maillard

Publication date: 19 April 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0503074

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Rational and birational maps (14E05) Effectivity, complexity and computational aspects of algebraic geometry (14Q20)

Related Items (15)

Growth of degrees of integrable mappings ⋮ Zero entropy for some birational maps of \(\mathbb{C}^2\) ⋮ Spectral interpretations of dynamical degrees and applications ⋮ A central limit theorem for the degree of a random product of Cremona transformations ⋮ Degree growth of rational maps induced from algebraic structures ⋮ Degree growth for tame automorphisms of an affine quadric threefold ⋮ Degree complexity of birational maps related to matrix inversion: symmetric case ⋮ Degree complexity of birational maps related to matrix inversion ⋮ The simplicity of the first spectral radius of a meromorphic map ⋮ Pulling back cohomology classes and dynamical degrees of monomial maps ⋮ Dynamical degree, arithmetic entropy, and canonical heights for dominant rational self-maps of projective space ⋮ Dynamical classification of a family of birational maps of \(\mathbb{C}^2\) via algebraic entropy ⋮ ALGEBRAIC DYNAMICS AND ALGEBRAIC ENTROPY ⋮ Birational mappings and matrix subalgebra from the chiral Potts model ⋮ On the arithmetic dynamics of monomial maps

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