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Asymptotic, Algebraic and Geometric Aspects of Integrable Systems

In Honor of Nalini Joshi On Her 60th Birthday, TSIMF, Sanya, China, April 9–13, 2018

  • Conference proceedings
  • © 2020

Overview

Editors:
  1. Frank Nijhoff

    1. School of Mathematics, University of Leeds, Leeds, UK

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  2. Yang Shi

    1. College of Science and Engineering, Flinders at Tonsley, Adelaide, Australia

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  3. Da-jun Zhang

    1. Department of Mathematics, Shanghai University, Shanghai, China

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  • Covers recent advances in asymptotic, algebraic and geometric methods applied to discrete integrable systems
  • Gathers together works from fields such as asymptotic analysis, representation theory and geometry
  • Showcases current results, new approaches and trends in the field

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 338)

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About this book

This proceedings volume gathers together selected works from the 2018 “Asymptotic, Algebraic and Geometric Aspects of Integrable Systems” workshop that was held at TSIMF Yau Mathematical Sciences Center in Sanya, China, honoring Nalini Joshi on her 60th birthday. The papers cover recent advances in asymptotic, algebraic and geometric methods in the study of discrete integrable systems.


The workshop brought together experts from fields such as asymptotic analysis, representation theory and geometry, creating a platform to exchange current methods, results and novel ideas.


This volume's articles reflect these exchanges  and can be of special interest to a diverse group of researchers and graduate students interested in learning about current results, new approaches and trends in mathematical physics, in particular those relevant to discrete integrable systems.

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Table of contents (11 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Quadrangular Sets in Projective Line and in Moebius Space, and Geometric Interpretation of the Non-commutative Discrete Schwarzian Kadomtsev–Petviashvili Equation

    • Adam Doliwa, Jarosław Kosiorek
    Pages 1-15

  3. Complexity and Integrability in 4D Bi-rational Maps with Two Invariants

    • Giorgio Gubbiotti, Nalini Joshi, Dinh Thi Tran, Claude-Michel Viallet
    Pages 17-36

  4. A Non-linear Relation for Certain Hypergeometric Functions

    • Gerd Schmalz, Vladimir Ezhov
    Pages 37-41

  5. An Algebraically Stable Variety for a Four-Dimensional Dynamical System Reduced from the Lattice Super-KdV Equation

    • Adrian Stefan Carstea, Tomoyuki Takenawa
    Pages 43-53

  6. Opers for Higher States of the Quantum Boussinesq Model

    • Davide Masoero, Andrea Raimondo
    Pages 55-78

  7. Nonsingular Rational Solutions to Integrable Models

    • Gegenhasi, Xing-Biao Hu, Shi-Hao Li, Bao Wang
    Pages 79-99

  8. Stokes Phenomenon Arising in the Confluence of the Gauss Hypergeometric Equation

    • Calum Horrobin, Marta Mazzocco
    Pages 101-158

  9. Periodic Trajectories of Ellipsoidal Billiards in the 3-Dimensional Minkowski Space

    • Vladimir Dragović, Milena Radnović
    Pages 159-174

  10. Analogues of Kahan’s Method for Higher Order Equations of Higher Degree

    • A. N. W. Hone, G. R. W. Quispel
    Pages 175-189

  11. On Some Explicit Representations of the Elliptic Painlevé Equation

    • Masatoshi Noumi
    Pages 191-212

  12. On the Lattice Potential KP Equation

    • Cewen Cao, Xiaoxue Xu, Da-jun Zhang
    Pages 213-237
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Editors and Affiliations

  • School of Mathematics, University of Leeds, Leeds, UK

    Frank Nijhoff

  • College of Science and Engineering, Flinders at Tonsley, Adelaide, Australia

    Yang Shi

  • Department of Mathematics, Shanghai University, Shanghai, China

    Da-jun Zhang

Bibliographic Information

  • Book Title: Asymptotic, Algebraic and Geometric Aspects of Integrable Systems

  • Book Subtitle: In Honor of Nalini Joshi On Her 60th Birthday, TSIMF, Sanya, China, April 9–13, 2018

  • Editors: Frank Nijhoff, Yang Shi, Da-jun Zhang

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-3-030-57000-2

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-56999-0Published: 24 October 2020

  • Softcover ISBN: 978-3-030-57002-6Published: 25 October 2021

  • eBook ISBN: 978-3-030-57000-2Published: 23 October 2020

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: VIII, 237

  • Number of Illustrations: 21 b/w illustrations, 8 illustrations in colour

  • Topics: Analysis, Geometry

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