descriptionPublicationkeyboard_double_arrow_right Article , Preprint 12 Apr 2021Embargo end date: 01 Jan 2020 English Publisher:Cellule MathDoc/Centre MersenneJournal:Annales de la Faculté des sciences de Toulouse : Mathématiques, volume 29, pages 1,251-1,264 (eissn: 2258-7519,

Authors: Takafumi Mase; Akane Nakamura; Hidetaka Sakai;

doi: 10.5802/afst.1660 , 10.48550/arxiv.2001.02535

arXiv: http://arxiv.org/abs/2001.02535

Discrete Hamiltonians of discrete Painlevé equations

- Summary
- Subjects
- Metrics

Abstract

We express discrete Painlevé equations as discrete Hamiltonian systems. The discrete Hamiltonian systems here mean the canonical transformations defined by generating functions. Our construction relies on the classification of the discrete Painlevé equations based on the surface-type. The discrete Hamiltonians we obtain are written in the logarithm and dilogarithm functions.

Related Organizations

University of Tokyo
Japan
Josai University
Japan

Keywords

Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), 33E17, 34M55, 39A12, Mathematical Physics

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average