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Algebra i Analiz, 1994, Volume 6, Issue 2, Pages 138–151 (Mi aa438)  

This article is cited in 7 scientific papers (total in 7 papers)

Research Papers

The matrix Riemann–Hilbert problem and differential equations for correlation functions of the $XXO$ Heisenberg chain

A. G. Izergin, A. R. Its, V. E. Korepin, N. A. Slavnov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Full text: PDF file (1210 kB)

English version:
St. Petersburg Mathematical Journal, 1995, 6:2, 315–326

Bibliographic databases:

Received: 20.12.1993

Citation: A. G. Izergin, A. R. Its, V. E. Korepin, N. A. Slavnov, “The matrix Riemann–Hilbert problem and differential equations for correlation functions of the $XXO$ Heisenberg chain”, Algebra i Analiz, 6:2 (1994), 138–151; St. Petersburg Math. J., 6:2 (1995), 315–326

Citation in format AMSBIB
\Bibitem{IzeItsKor94}
\by A.~G.~Izergin, A.~R.~Its, V.~E.~Korepin, N.~A.~Slavnov
\paper The matrix Riemann--Hilbert problem and differential equations for correlation functions of the $XXO$ Heisenberg chain
\jour Algebra i Analiz
\yr 1994
\vol 6
\issue 2
\pages 138--151
\mathnet{http://mi.mathnet.ru/aa438}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1290821}
\zmath{https://zbmath.org/?q=an:0836.35113}
\transl
\jour St. Petersburg Math. J.
\yr 1995
\vol 6
\issue 2
\pages 315--326


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

    This publication is cited in the following articles:
    1. N. A. Slavnov, “Differential equations for multipoint correlation functions in one-dimensional impenetrable bose-gas”, Theoret. and Math. Phys., 106:1 (1996), 131–142  mathnet  crossref  crossref  mathscinet  zmath  isi
    2. N. A. Slavnov, “Fredholm determinants and $\tau$-functions”, Theoret. and Math. Phys., 109:3 (1996), 1523–1535  mathnet  crossref  crossref  mathscinet  zmath  isi
    3. S. N. Tronin, “Products in categories of fractions and universal inversion of homomorphisms”, Sb. Math., 188:10 (1997), 1521–1541  mathnet  crossref  mathscinet  zmath  isi
    4. N. I. Abarenkova, A. G. Pronko, “Temperature Correlation Function in the Absolutely Anisotropic XXZ Heisenberg Magnet”, Theoret. and Math. Phys., 131:2 (2002), 690–703  mathnet  crossref  crossref  mathscinet  zmath  isi
    5. K. L. Malyshev, “Functional Integration with an “Automorphic” Boundary Condition and Correlators of Third Components of Spins in the $XX$ Heisenberg Model”, Theoret. and Math. Phys., 136:2 (2003), 1143–1154  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. Kitanine, N, “Dynamical correlation functions of the XXZ spin-1/2 chain”, Nuclear Physics B, 729:3 (2005), 558  crossref  mathscinet  zmath  adsnasa  isi
    7. A. G. Pronko, “On the emptiness formation probability in the free-fermion six-vertex model with domain wall boundary conditions”, J. Math. Sci. (N. Y.), 192:1 (2013), 101–116  mathnet  crossref  mathscinet
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