Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-10T13:17:15.943Z Has data issue: false hasContentIssue false
  • English
  • Français

GEOMETRY OF INTEGRABLE LATTICE EQUATIONS AND THEIR REDUCTIONS

Part of: Difference and functional equations Difference equations Surfaces and higher-dimensional varieties

Published online by Cambridge University Press:  17 May 2019

MATTHEW NOLAN Open the ORCID record for MATTHEW NOLAN [Opens in a new window]
MATTHEW NOLAN*
Affiliation:
School of Mathematics and Statistics, University of Sydney, Camperdown, NSW 2006, Australia email m.nolan@maths.usyd.edu.au
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'

Keywords

secondary 14J17singularitiesblow uplinear equationsq-difference equationspartial difference equationslattice equationsPainlevé equation

MSC classification

Primary: 14J17: Singularities
Secondary: 39A06: Linear equations 39A14: Partial difference equations
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 100 , Issue 1 , August 2019 , pp. 168 - 169
Copyright
© 2019 Australian Mathematical Publishing Association Inc. 

Footnotes

Thesis submitted to The University of Sydney in April 2017; degree approved on 17 September 2018; supervisor: Nalini Joshi.

References

Adler, V. E., Bobenko, A. I. and Suris, Y. B., ‘Classification of integrable equations on quad-graphs. The consistency approach’, Commun. Math. Phys. 233(3) (2003), 513–543.Google Scholar
Joshi, N., Lobb, S. and Nolan, M., ‘Constructing initial value spaces of lattice equations’, Preprint, 2018, arXiv:1807.06162.Google Scholar
Sakai, H., ‘Rational surfaces associated with affine root systems and geometry of the Painlevé equations’, Commun. Math. Phys. 220(1) (2001), 165–229.Google Scholar