A. A. Bolibrukh, “On the Tau Function for the Schlesinger Equation of Isomonodromic Deformations”, Mat. Zametki, 74:2 (2003), 184–191; Math. Notes, 74:2 (2003), 177

Matematicheskie Zametki

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Forthcoming papers
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Mat. Zametki:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Matematicheskie Zametki, 2003, Volume 74, Issue 2, Pages 184–191
DOI: https://doi.org/10.4213/mzm254 (Mi mzm254)

This article is cited in 15 scientific papers (total in 17 papers)

On the Tau Function for the Schlesinger Equation of Isomonodromic Deformations

A. A. Bolibrukh

Steklov Mathematical Institute, Russian Academy of Sciences

Full-text PDF (190 kB) Citations (17)

References:

PDF

HTML

DOI: https://doi.org/10.4213/mzm254

Abstract: The tau function for the Schlesinger equation of isomonodromic deformations is represented as the result of successively applied elementary gauge transformations; this, in particular, suggests a simple proof for the Miwa theorem about the tau function.

Received: 13.02.2003

English version:
Mathematical Notes, 2003, Volume 74, Issue 2, Pages 177–184
DOI: https://doi.org/10.1023/A:1025048023068

Bibliographic databases:

UDC: 514

Language: Russian

Citation: A. A. Bolibrukh, “On the Tau Function for the Schlesinger Equation of Isomonodromic Deformations”, Mat. Zametki, 74:2 (2003), 184–191; Math. Notes, 74:2 (2003), 177–184

Citation in format AMSBIB

\Bibitem{Bol03}

\by A.~A.~Bolibrukh

\paper On the Tau Function for the Schlesinger Equation of Isomonodromic Deformations

\jour Mat. Zametki

\yr 2003

\vol 74

\issue 2

\pages 184--191

\mathnet{http://mi.mathnet.ru/mzm254}

\crossref{https://doi.org/10.4213/mzm254}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2023762}

\zmath{https://zbmath.org/?q=an:1068.34082}

\transl

\jour Math. Notes

\yr 2003

\vol 74

\issue 2

\pages 177--184

\crossref{https://doi.org/10.1023/A:1025048023068}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000185172900023}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0347755247}

Linking options:

https://www.mathnet.ru/eng/mzm254

https://doi.org/10.4213/mzm254

https://www.mathnet.ru/eng/mzm/v74/i2/p184

This publication is cited in the following 17 articles:

M. Bertola, D. Korotkin, “On the tau function of the hypergeometric equation”, Physica D: Nonlinear Phenomena, 439 (2022), 133381
Dragovic V., Shramchenko V., “Algebro-Geometric Approach to An Okamoto Transformation, the Painleve Vi and Schlesinger Equations”, Ann. Henri Poincare, 20:4 (2019), 1121–1148
Yu. P. Bibilo, R. R. Gontsov, “Some properties of Malgrange isomonodromic deformations of linear $2\times2$ systems”, Proc. Steklov Inst. Math., 277 (2012), 16–26
Bibilo Yu.P., Gontsov R.R., “On the Malgrange Isomonodromic Deformations of Nonresonant Irregular Systems”, Painleve Equations and Related Topics (2012), Degruyter Proceedings in Mathematics, eds. Bruno A., Batkhin A., Walter de Gruyter & Co, 2012, 95–99
D. V. Anosov, V. P. Leksin, “Andrei Andreevich Bolibrukh's works on the analytic theory of differential equations”, Russian Math. Surveys, 66:1 (2011), 1–33
R. R. Gontsov, V. A. Poberezhnyi, G. F. Helminck, “On deformations of linear differential systems”, Russian Math. Surveys, 66:1 (2011), 63–105
I. V. Vyugin, “Riemann–Hilbert problem for scalar Fuchsian equations and related problems”, Russian Math. Surveys, 66:1 (2011), 35–62
Korotkin D., Shramchenko V., “Riemann–Hilbert Problems for Hurwitz Frobenius Manifolds”, Lett Math Phys, 96:1–3 (2011), 109–121
Korotkin D., Shramchenko V., “Riemann–Hilbert Problem for Hurwitz Frobenius Manifolds: Regular Singularities”, J. Reine Angew. Math., 661 (2011), 125–187
Gontsov R.R., Vyugin I.V., “Apparent Singularities of Fuchsian Equations and the Painlevé Property for Gamier Systems”, J. Geom. Phys., 61:12 (2011), 2419–2435
Gontsov, RR, “Apparent singularities of Fuchsian equations, the Painlevé VI equation, and Garnier systems”, Doklady Mathematics, 79:2 (2009), 176
R. R. Gontsov, “On Solutions of the Schlesinger Equation in the Neigborhood of the Malgrange $\Theta$ -Divisor”, Math. Notes, 83:5 (2008), 707–711
Shramchenko, V, “Riemann–Hilbert problem associated to Frobenius manifold structures on Hurwitz spaces: Irregular singularity”, Duke Mathematical Journal, 144:1 (2008), 1
V. A. Poberezhnyi, “General Linear Problem of the Isomonodromic Deformation of Fuchsian Systems”, Math. Notes, 81:4 (2007), 529–542
Sabbah C., “The Work of Andrey Bolibrukh on Isomonodromic Deformations”, Differential Equations and Quantum Groups: Andrey a. Bolibrukh Memorial Volume, Irma Lectures in Mathematics and Theoretical Physics, 9, eds. Bertrand D., Enriquez B., Mitschi C., Sabbah C., Schafke R., Eur. Math. Soc., 2007, 9–25
D. V. Anosov, V. P. Leksin, “Andrei Andreevich Bolibrukh in life and science (30 January 1950 – 11 November 2003)”, Russian Math. Surveys, 59:6 (2004), 1009–1028
D. V. Anosov, V. I. Arnol'd, V. M. Buchstaber, V. A. Golubeva, A. A. Gonchar, A. B. Zhizhchenko, Yu. S. Ilyashenko, V. V. Kozlov, S. P. Konovalov, L. D. Kudryavtsev, V. P. Leksin, O. B. Lupanov, A. A. Mal'tsev, E. F. Mishchenko, S. P. Novikov, Yu. S. Osipov, M. M. Postnikov, V. A. Sadovnichii, A. G. Sergeev, L. D. Faddeev, A. V. Chernavskii, “Andrei Andreevich Bolibrukh (obituary)”, Russian Math. Surveys, 58:6 (2003), 1185–1189

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	744
Full-text PDF :	342
References:	66
First page:	1

Registration to the website

Logotypes