Calculating algebraic entropies: an express method

DOI10.1088/1751-8121/aa66d7zbMath1390.81106arXiv1611.05111OpenAlexW2550596823MaRDI QIDQ5269479

Takafumi Mase, Ralph Willox, Basile Grammaticos, Alfred Ramani

Publication date: 16 June 2017

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

Full work available at URL: https://arxiv.org/abs/1611.05111

zbMATH Keywords

mappingssingularitiesintegrabilitydeautonomisationalgebraic entropy

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (9)

Singularity confinement as an integrability criterion ⋮ On the singularity structure of the discrete KdV equation ⋮ A systematic method for constructing discrete Painlevé equations in the degeneration cascade of the E8 group ⋮ Algebraic entropy of (integrable) lattice equations and their reductions ⋮ Elementary exact calculations of degree growth and entropy for discrete equations ⋮ Coprimeness-preserving discrete KdV type equation on an arbitrary dimensional lattice ⋮ Integrable mappings and the notion of anticonfinement ⋮ Calculation of algebraic entropies of d-PIV and d-PV ⋮ On the singularities of the discrete Korteweg–deVries equation

Cites Work

• Periodicities in linear fractional recurrences: degree growth of birational surface maps
• Discrete Painlevé I and singularity confinement in projective space
• Growth and integrability in the dynamics of mappings
• From continuous to discrete Painlevé equations
• Algebraic entropy
• Singularity confinement and algebraic entropy: the case of the discrete Painlevé equations
• Dynamics of rational surface automorphisms: linear fractional recurrences
• Singularity confinement and full-deautonomisation: a discrete integrability criterion
• Dynamics of bimeromorphic maps of surfaces
• Algebraic entropy and the space of initial values for discrete dynamical systems
• Dynamics of complexity of intersections
• Do integrable mappings have the Painlevé property?
• Elementary exact calculations of degree growth and entropy for discrete equations
• Diophantine integrability
• The redemption of singularity confinement
• Deautonomization by singularity confinement: an algebro-geometric justification
• Asymmetric discrete Painlevé equations

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