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On singularity confinement for the pentagram map

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Publication:372835
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DOI10.1007/s10801-012-0417-6zbMath1283.37062arXiv1110.0868OpenAlexW2099307870MaRDI QIDQ372835

Max Glick

Publication date: 21 October 2013

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0868


zbMATH Keywords

alternating sign matrixpentagram mapsingularity confinementdecorated polygon


Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)


Related Items (3)

Integrable cluster dynamics of directed networks and pentagram maps ⋮ The algebraic dynamics of the pentagram map ⋮ The devron property



Cites Work

  • Unnamed Item
  • Liouville-Arnold integrability of the pentagram map on closed polygons
  • Integrability of the pentagram map
  • Higher pentagram maps, weighted directed networks, and cluster dynamics
  • The pentagram map and \(Y\)-patterns
  • Discrete monodromy, pentagrams, and the method of condensation
  • Alternating-sign matrices and domino tilings. I
  • Perspectives on Projective Geometry
  • Cluster algebras IV: Coefficients
  • Do integrable mappings have the Painlevé property?
  • The pentagram map: a discrete integrable system


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