Results 71 to 80 of about 327 (99)

Isomonodromy transformations of linear systems of difference equations

Annals of Mathematics, 2004
We introduce and study ¿isomonodromy¿ transformations of the matrix linear difference equation Y (z + 1) = A(z)Y (z) with polynomial A(z). Our main result is construction of an isomonodromy action of Zm(n+1)-1 on the space of coefficients A(z) (here m is
Alexei Borodin
exaly   +1 more source

Two twistor descriptions of the isomonodromy problem [PDF]

Journal of Physics A, 2006
The connections between Hitchin and Mason's twistor descriptions of the isomonodromy problem are explored.
N M J Woodhouse
exaly   +4 more sources

Kerr–de Sitter greybody factors via isomonodromy [PDF]

Physical Review D, 2016
JHEP style, 2 figures, 35 ...
Bruno Carneiro da Cunha, Fabio Novaes
exaly   +4 more sources

The Isomonodromy Method and the Painlevé Equations

Springer Series in Nonlinear Dynamics, 1993
Although the six Painlevu transcendents, PI-PVI, were introduced at the turn of the century by Painlevu and his school from strictly mathematical considerations, they have recently appeared in a wide range of physical applications (see for example [1]-[13]).
Athanassios S Fokas, A R Its
exaly   +2 more sources

An isomonodromy cluster of two regular singularities [PDF]

Journal of Physics A, 2006
We consider a linear $2\times2$ matrix ODE with two coalescing regular singularities. This coalescence is restricted with an isomonodromy condition with respect to the distance between the merging singularities in a way consistent with the ODE. In particular, a zero-distance limit for the ODE exists.
exaly   +3 more sources

Special Functions of the Isomonodromy Type

Acta Applicandae Mathematica, 2000
The purpose of this work is to describe a unified approach to special functions, using isomonodromy deformations. Roughly speaking, one considers linear systems of ordinary differential equations whose monodromies are independent of the position of the poles. Typically, the coefficients of such systems involve interesting special functions.
openaire   +2 more sources

The Knizhnik-Zamolodchikov system as a deformation of the isomonodromy problem

Letters in Mathematical Physics, 1992
The author studies the system of differential equations which was discovered in researching correlation functions in the two-dimensional model of conformal field theory with a Wess-Zumino-Witten Lagrangian function and is called Knizhnik-Zamalodchikov system.
Nicolai Reshetikhin
exaly   +2 more sources

The B�cklund transformation for isomonodromy deformation Schlesinger equations

Letters in Mathematical Physics, 1980
We define the transformation of linear differential equations with rational function coefficients that fix monodromy data and change local multiplicities by any sequence of integers. This transformation that gives rise to Pade approximations, at the same time defines the Backlund transformation of Schlesinger equations.
Chudnovsky, D. V., Chudnovsky, G. V.
openaire   +2 more sources

Isomonodromy as a curvature-zero condition

Journal of Mathematical Physics, 1981
The ’’isomonodromy deformation’’ condition is expressed as a curvature-zero condition, thus bringing to the foreground the relations to other approaches in the theory of nonlinear waves.
openaire   +1 more source

Some Isomonodromy Problems in Hyperbolic Space

1992
Conformai field theory has taught us a great deal about n-point functions of critical, or equivalently massless, 2D quantum field theories (cf [16]). On the other hand, progress in exact results for the n-point functions of massive 2D quantum field theories has been restricted to a smaller class of models. Holonomic Quantum Fields introduced by M. Sato,
Rajamani S. Narayanan, John Palmer, Craig A. Tracy   +2 more
openaire   +1 more source