Oleg Lisovyy, Publications

  1. Monodromy dependence and connection formulae for isomonodromic tau functions
    (avec A. Its et A. Prokhorov)
    arxiv: 1604.03082 [math-ph].

  2. Isomonodromic tau-functions from Liouville conformal blocks (avec N. Iorgov et J. Teschner)
    Comm. Math. Phys. 336, (2015), 671-694; arxiv:1401.6104 [hep-th].

  3. Connection problem for the sine-Gordon/Painlevé III tau function and irregular conformal blocks
    (avec A. Its et Yu. Tykhyy)
    Int. Math. Res. Not., (2014), rnu209; arxiv:1403.1235 [math-ph].

  4. Painlevé VI connection problem and monodromy of c=1 conformal blocks (avec N. Iorgov et Yu. Tykhyy)
    JHEP 12 (2013), 029; arxiv:1308.4092 [hep-th].

  5. Painlevé functions and conformal blocks (avec N. Iorgov, A. Shchechkin et Yu. Tykhyy)
    Constr. Approx. 39, (2014), 255-272.

  6. How instanton combinatorics solves Painlevé VI, V and III's (avec O. Gamayun et N. Iorgov)
    J. Phys. A: Math. Theor. 46 (2013) 335203; arxiv:1302.1832 [hep-th].

  7. Conformal field theory of Painlevé VI (avec O. Gamayun et N. Iorgov)
    JHEP 10 (2012), 038; arxiv:1207.0787 [hep-th].

  8. Form factors of twist fields in the lattice Dirac theory (avec P. Gavrylenko et N. Iorgov)
    J. Phys. A: Math. Theor. 45, (2012), 025402; arxiv:1108.3290 [hep-th].

  9. Finite-lattice form factors in free-fermion models (avec N. Iorgov)
    J. Stat. Mech., (2011), P04011; arXiv:1102.2145 [cond-mat.stat-mech].

  10. Ising correlations and elliptic determinants (avec N. Iorgov)
    J. Stat. Phys. 143, (2011), 33-59; arXiv:1012.2856 [math-ph].

  11. Dyson's constant for the hypergeometric kernel
    in "New trends in quantum integrable systems", eds. B. Feigin, M. Jimbo, M. Okado,
    World Scientific, (2011), pp. 243-267; arXiv:0910.1914 [math-ph].

  12. Finite-volume correlation functions of monodromy fields on the lattice: Toeplitz representation
    in "Systèmes intégrables et Théorie des champs quantiques", eds. P. Baird, F. Helein, J. Kouneiher, F. Pedit, V. Roubtsov,
    Hermann, (2009), pp. 170-186.

  13. Algebraic solutions of the sixth Painlevé equation (avec Yu. Tykhyy)
    J. Geom. Phys. 85, (2014), 124-163; arxiv:0809.4873 [math.CA].

  14. On Painlevé VI transcendents related to the Dirac operator on the hyperbolic disk
    J. Math. Phys. 49, (2008), 093507; arXiv:0710.5744 [math-ph].

  15. Aharonov-Bohm effect on the Poincaré disk
    J. Math. Phys. 48, (2007), 052112; math-ph/0702066.

  16. Transfer matrix eigenvectors of the Baxter-Bazhanov-Stroganov τ_2-model for N=2
    J. Phys. A: Math. Gen. 39, (2006), 2265-2285; nlin/0512026.

  17. Point interactions in one dimension and holonomic quantum fields
    Letts. Math. Phys. 77, (2006), 63-81; math-ph/0510095.

  18. Tau functions for the Dirac operator on the cylinder
    Comm. Math. Phys. 255, (2005), 61-95; hep-th/0312277.

  19. PDEs for Ising correlation functions on the cylinder (partly expository)
    Int. J. Mod. Phys. A19 Suppl., (2004), 267-275.

  20. Correlation function of the two-dimensional Ising model on the finite lattice. II (avec A. I. Bugrij)
    Theor. & Math. Phys. 140, (2004), 113-127; arXiv:0708.3643 [nlin.SI].

  21. Spin matrix elements in 2D Ising model on the finite lattice (avec A. I. Bugrij)
    Phys. Letts. A319, (2003), 390-394; arXiv:0708.3625 [nlin.SI].

  22. Magnetic susceptibility of the two-dimensional Ising model on the finite lattice (avec A. I. Bugrij)
    JETP 94, (2002), 1140-1148; hep-th/0106270.

  23. Correlation function of the 2D Ising model on the cylinder (avec A. I. Bugrij)
    Ukr. J. Phys. 47, (2002), 179-196.

  24. Nonlinear differential equations for the correlation functions of the 2D Ising model on the cylinder
    Adv. Theor. Math. Phys. 5, (2001), 909-922; hep-th/0108015.

  25. Analytic properties of the propagator in exactly solvable quantum field theory
    J. Phys. Studies 4, (2000), 409-414.