The Pentagram Map: A Discrete Integrable System

2010/06/23 by Valentin Ovsienko, Richard Evan Schwartz, Richard Schwartz +1 · 5 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Computer science #Geometry #Homotopy and Cohomology in Algebraic Topology #Integrable system #Mathematical analysis #Mathematics #Monodromy #Nonlinear Waves and Solitons #Poisson manifold #Polygon (computer graphics) #Pure mathematics #Regular polygon #Space (punctuation) #Transformation (genetics)

paper · doi:10.1007/s00220-010-1075-y

openalex publication_date 2010/06/23 · crossref created 2010/06/23 · crossref issued 2010/06/24 · crossref published 2010/06/24 · crossref published-online 2010/06/24 · crossref published-print 2010/10/01 · crossref deposited 2019/05/24 · openalex created_date 2025/10/10 · crossref indexed 2026/07/14 · openalex updated_date 2026/08/05

Citations

• Discrete monodromy, pentagrams, and the method of condensation
• Menelausapos theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy

Cited by

• On generalizations of the pentagram map: discretizations of AGD flows
• PGL(3)-invariant integrable systems from factorisation of linear differential and difference operators
• Integrable pentagram-type maps on polyhedra via partial difference operators
• Non-integrability vs. integrability in pentagram maps
• Richard Schwartz (mathematician) [wikipedia]