Theme issue ‘Finite dimensional integrable systems: new trends and methods’ compiled and edited by Vladimir S. Matveev, Eva Miranda, Serge Tabachnikov

ARTICLES

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  Review article:

  On the integrability of Birkhoff billiards

  Vadim Kaloshin, Alfonso Sorrentino

  Phil. Trans. R. Soc. A 2018 376 20170419; DOI: 10.1098/rsta.2017.0419. Published 17 September 2018
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  Research article:

  A survey on polynomial in momenta integrals for billiard problems

  Misha Bialy, Andrey E. Mironov

  Phil. Trans. R. Soc. A 2018 376 20170418; DOI: 10.1098/rsta.2017.0418. Published 17 September 2018
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  Research article:

  Symplectic invariants for parabolic orbits and cusp singularities of integrable systems

  Alexey Bolsinov, Lorenzo Guglielmi, Elena Kudryavtseva

  Phil. Trans. R. Soc. A 2018 376 20170424; DOI: 10.1098/rsta.2017.0424. Published 17 September 2018
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  Research article:

  Singular fibres of the Gelfand–Cetlin system on 𝔲(n)*

  D. Bouloc, E. Miranda, N.T. Zung

  Phil. Trans. R. Soc. A 2018 376 20170423; DOI: 10.1098/rsta.2017.0423. Published 17 September 2018
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  Research article:

  The U(n) Gelfand–Zeitlin system as a tropical limit of Ginzburg–Weinstein diffeomorphisms

  A. Alekseev, J. Lane, Y. Li

  Phil. Trans. R. Soc. A 2018 376 20170428; DOI: 10.1098/rsta.2017.0428. Published 17 September 2018
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  Research article:

  Relations in the cohomology ring of the moduli space of flat SO(2n + 1)-connections on a Riemann surface

  Elisheva Adina Gamse, Jonathan Weitsman

  Phil. Trans. R. Soc. A 2018 376 20170427; DOI: 10.1098/rsta.2017.0427. Published 17 September 2018
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  Research article:

  Convexity of the moment map image for torus actions on b^m-symplectic manifolds

  Victor W. Guillemin, Eva Miranda, Jonathan Weitsman

  Phil. Trans. R. Soc. A 2018 376 20170420; DOI: 10.1098/rsta.2017.0420. Published 17 September 2018
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  Research article:

  Dynamics of constrained many body problems in constant curvature two-dimensional manifolds

  Andrzej J. Maciejewski, Maria Przybylska

  Phil. Trans. R. Soc. A 2018 376 20170425; DOI: 10.1098/rsta.2017.0425. Published 17 September 2018
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  Research article:

  Asymptotic velocity for four celestial bodies

  Andreas Knauf

  Phil. Trans. R. Soc. A 2018 376 20170426; DOI: 10.1098/rsta.2017.0426. Published 17 September 2018
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  Opinion piece:

  Open problems, questions and challenges in finite- dimensional integrable systems

  Alexey Bolsinov, Vladimir S. Matveev, Eva Miranda, Serge Tabachnikov

  Phil. Trans. R. Soc. A 2018 376 20170430; DOI: 10.1098/rsta.2017.0430. Published 17 September 2018