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Re-factorising a QRT map (Q2297885)

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Language	Label	Description	Also known as
English	Re-factorising a QRT map	scientific article

Statements

scholarly article

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Re-factorising a QRT map (English)

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Journal of Computational Dynamics

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publication date

20 February 2020

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full work available at URL

https://arxiv.org/abs/1906.00501

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zbMATH Keywords

integrable maps

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QRT maps

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Yang-Baxter maps

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Pavlos Kassotakis

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MaRDI profile type

MaRDI publication profile

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Recuttings of polygons

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Geometry of Yang-Baxter maps: pencils of conics and quadrirational mappings

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Geometry of an elliptic difference equation related to Q4

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Multi-Quadratic Quad Equations: Integrable Cases from a Factorized-Discriminant Hypothesis

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Solutions of Adler's Lattice Equation Associated with 2-Cycles of the Bäcklund Transformation

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Yang-Baxter maps, discrete integrable equations and quantum groups

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Rational mappings, arborescent iterations, and the symmetries of integrability

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Integrable symplectic maps

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Set-theoretical reflection equation: classification of reflection maps

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Frieze patterns

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Matrix Kadomtsev-Petviashvili equation: tropical limit, Yang-Baxter and pentagon maps

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Matrix KP: tropical limit and Yang-Baxter maps

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On some unsolved problems in quantum group theory

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Geometric Crystals and Set-Theoretical Solutions to the Quantum Yang-Baxter Equation

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Set-theoretical solutions to the quantum Yang-Baxter equation

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Multidimensional maps of QRT type

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Integrable maps which preserve functions with symmetries

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Grassmann extensions of Yang–Baxter maps

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Complexity and integrability in 4D bi-rational maps with two invariants

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\(k\)-integrals and \(k\)-Lie symmetries in discrete dynamical systems

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Permutation-type solutions to the Yang - Baxter and other<b><i>n</i></b>-simplex equations

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Weak Lax pairs for lattice equations

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How to find the conserved quantities of nonlinear discrete equations

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Integrable mappings of the plane preserving biquadratic invariant curves

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Integrable mappings of the plane preserving biquadratic invariant curves II

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The proof of the Kontsevich periodicity conjecture on noncommutative birational transformations.

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An algebraic geometric approach to integrable maps of the plane

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From integrable lattices to non-QRT mappings

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Rational Maps with Invariant Surfaces

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Discrete dynamical systems with \(W(A^{(1)}_{m-1} \times A^{(1)}_{n-1})\) symmetry

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Invariants in separated variables: Yang-Baxter, entwining and transfer maps

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Integrable non-QRT mappings of the plane

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Families of integrable equations

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On non-multiaffine consistent-around-the-cube lattice equations

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2<sup><i>n</i></sup>-rational maps

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Difference systems in bond and face variables and non-potential versions of discrete integrable systems

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A new class of integrable discrete systems

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Relativistic collisions as Yang-Baxter maps

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Completely integrable symplectic mapping

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Darboux transformation for the vector sine-Gordon equation and integrable equations on a sphere

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An Inequality Arising in Genetical Theory

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Affine Weyl groups, discrete dynamical systems and Painlevé equations

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On quadrirational Yang-Baxter maps

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Yang-Baxter maps and symmetries of integrable equations on quad-graphs

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A quadratic mapping with invariant cubic curve

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Characterizing singular curves in parametrized families of biquadratics

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An alternating integrable map whose square is the QRT map

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Integrable mappings and soliton equations

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Integrable mappings and soliton equations. II

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Birational maps that send biquadratic curves to biquadratic curves

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Creating and relating three-dimensional integrable maps

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Classical limits of the SU(2)-invariant solutions of the Yang-Baxter equation

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Integrable mappings via rational elliptic surfaces

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Integrable maps

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Yang-Baxter maps and integrable dynamics

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INTEGRABLE LATTICE MAPS: <i>Q</i><sub><i>V</i></sub>, A RATIONAL VERSION OF <i>Q</i><sub>4</sub>

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Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

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Identifiers

zbMATH Open document ID

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10.3934/jcd.2019016

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

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