Noetherian mappings

DOI10.1016/S0167-2789(03)00177-5zbMath1078.37035OpenAlexW4252458894MaRDI QIDQ1409179

S. Hassani, Salah Boukraa, Jean-Marie Maillard

Publication date: 5 October 2003

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(03)00177-5

zbMATH Keywords

integrabilitybirational complex-projective-space-\(\mathbb CP_n\) transformationsiteration-calculation degree growth complexity

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Iteration theory, iterative and composite equations (39B12) Rational and birational maps (14E05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items

Spectral interpretations of dynamical degrees and applications ⋮ Degree growth of rational maps induced from algebraic structures ⋮ Green currents for meromorphic maps of compact Kähler manifolds ⋮ Degree complexity of birational maps related to matrix inversion ⋮ The simplicity of the first spectral radius of a meromorphic map ⋮ On the degree growth of birational mappings in higher dimension ⋮ On the arithmetic dynamics of monomial maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Birational isomorphisms of four-dimensional quintics
• Notes on the correspondence between Luigi Cremona and Max Noether
• Birational automorphisms of higher-dimensional algebraic varieties
• Birational automorphisms of three-dimensional algebraic varieties
• Points périodiques d'applications birationnelles de \({\mathbb P}^2\). (Periodic points for birational mappings of \({\mathbb P}^2\).)
• Real topological entropy versus metric entropy for birational measure-preserving transformations
• Discrete symmetry groups of vertex models in statistical mechanics.
• Growth-complexity spectrum of some discrete dynamical systems
• Integrable mappings and soliton equations
• Topological entropy and Arnold complexity for two-dimensional mappings
• On periodic points
• Rational surfaces over perfect fields
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• A geometric approach to singularity confinement and algebraic entropy
• Dynamics of bimeromorphic maps of surfaces
• Automorphisms of algebraic varieties and Yang–Baxter equations
• BIRATIONAL AUTOMORPHISMS OF CONIC BUNDLES
• Dynamics of complexity of intersections
• DYNAMICAL SYSTEMS FROM QUANTUM INTEGRABILITY
• ALMOST INTEGRABLE MAPPINGS
• A classification of four-state spin edge Potts models
• Rational mappings, arborescent iterations, and the symmetries of integrability
• Real Arnold complexity versus real topological entropy for birational transformations
• DETERMINANTAL IDENTITIES ON INTEGRABLE MAPPINGS
• THREE-DIMENSIONAL QUARTICS AND COUNTEREXAMPLES TO THE LÜROTH PROBLEM
• Let's Baxterise
• Birational quadratic transformations of the three dimensional complex projective space
• Discrete dynamical systems associated with root systems of indefinite type