-
Monodromy dependence and connection formulae for isomonodromic tau functions
(avec A. Its et A. Prokhorov)
arxiv: 1604.03082 [math-ph].
-
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].
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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].
-
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].
-
Painlevé functions and conformal blocks
(avec N. Iorgov, A. Shchechkin et Yu. Tykhyy)
Constr. Approx. 39, (2014), 255-272.
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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].
-
Conformal field theory of Painlevé VI
(avec O. Gamayun et N. Iorgov)
JHEP 10 (2012), 038;
arxiv:1207.0787 [hep-th].
-
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].
-
Finite-lattice form factors in free-fermion models
(avec N. Iorgov)
J. Stat. Mech., (2011), P04011;
arXiv:1102.2145 [cond-mat.stat-mech].
-
Ising correlations and elliptic determinants
(avec N. Iorgov)
J. Stat. Phys. 143, (2011), 33-59;
arXiv:1012.2856 [math-ph].
-
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].
-
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.
-
Algebraic
solutions of the sixth Painlevé equation
(avec Yu. Tykhyy)
J. Geom. Phys. 85, (2014), 124-163; arxiv:0809.4873 [math.CA].
-
On Painlevé VI transcendents related to the Dirac operator on
the hyperbolic disk
J. Math. Phys. 49, (2008), 093507;
arXiv:0710.5744 [math-ph].
-
Aharonov-Bohm effect on the Poincaré disk
J. Math. Phys. 48, (2007), 052112;
math-ph/0702066.
-
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.
-
Point interactions in one dimension and holonomic quantum fields
Letts. Math. Phys. 77, (2006), 63-81;
math-ph/0510095.
-
Tau functions for the Dirac operator on the cylinder
Comm. Math. Phys. 255, (2005), 61-95;
hep-th/0312277.
-
PDEs for Ising correlation functions on the cylinder
(partly expository)
Int. J. Mod. Phys. A19 Suppl., (2004), 267-275.
-
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].
-
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].
-
Magnetic susceptibility of the two-dimensional Ising
model on the finite lattice
(avec A. I. Bugrij)
JETP 94, (2002), 1140-1148;
hep-th/0106270.
-
Correlation function of the 2D Ising model on the
cylinder
(avec A. I. Bugrij)
Ukr. J. Phys. 47, (2002), 179-196.
-
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.
-
Analytic properties of the propagator in exactly solvable quantum
field theory
J. Phys. Studies 4, (2000), 409-414.