Explicit continued fractions and quantum gravity
type: Item
instance of: scholarly article
title: Explicit continued fractions and quantum gravity
zbMATH Open document ID: 0816.58022
DOI: 10.1007/BF01001547
author: D. V. Chudnovsky
author: G. V. Choodnovsky
published in: Acta Applicandae Mathematicae
publication date: 1995-07-19T00:00:00Z
review text: This paper is a review of the theory of explicit continued fractions and its applications to completely integrable systems, particularly Painlevé equations, monodromy and Stokes parameters, complex analysis, approximation theory, computational mathematics, and number theory. The authors give an account from the actual beginning of the theory (Euler, Abel, etc.) up to the current state of the art, passing through the fundamental contributions of Painlevé, Nevalinna, Backlund, etc. \dots Particular attention is placed on the previous works by the authors and the physical and computational applications of the theory. Some open problems are stated.
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 81V17
Mathematics Subject Classification ID: 30B70
Mathematics Subject Classification ID: 83C45
zbMATH DE Number: 701039
zbMATH Keywords: completely integrable systems
zbMATH Keywords: Painlevé equations
zbMATH Keywords: monodromy
zbMATH Keywords: Stokes parameters
zbMATH Keywords: computational mathematics
zbMATH Keywords: continued fraction expansion
zbMATH Keywords: uniformization theory
zbMATH Keywords: quantum gravity
reviewed by: Juan Monterde
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 701039