A geometric approach to singularity confinement and algebraic entropy
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Publication:2729434
DOI10.1088/0305-4470/34/10/103zbMath0988.37011arXivnlin/0011037OpenAlexW3126101417MaRDI QIDQ2729434
Publication date: 22 July 2001
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0011037
Birational automorphisms, Cremona group and generalizations (14E07) Discrete version of topics in analysis (39A12) Dynamical aspects of statistical mechanics (37A60)
Related Items (12)
Singularity confinement as an integrability criterion ⋮ Discrete integrable systems and Poisson algebras from cluster maps ⋮ Differential equations for the recurrence coefficients of semiclassical orthogonal polynomials and their relation to the Painlevé equations via the geometric approach ⋮ A systematic method for constructing discrete Painlevé equations in the degeneration cascade of the E8 group ⋮ Noetherian mappings ⋮ Degree complexity of a family of birational maps ⋮ Do all integrable equations satisfy integrability criteria? ⋮ Linearisable ultradiscrete systems with sign variables and the confinement of singularities ⋮ Elementary exact calculations of degree growth and entropy for discrete equations ⋮ Coprimeness-preserving discrete KdV type equation on an arbitrary dimensional lattice ⋮ Continuous families of rational surface automorphisms with positive entropy ⋮ Singularity confinement in delay-differential Painlevé equations
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