50 citations · 181 across the 8 of their papers we have counts for
9 papers
Finite orbits of monodromies of rank two Fuchsian systems
Yuriy Tykhyy
We classified finite orbits of monodromies of the Fuchsian system for five matrices. The explicit proof of this result is given. We have proposed a conjecture for a sim…
Connection problem for the sine-Gordon/Painlevé III tau function and irregular conformal blocks
A. Its, O. Lisovyy, Yu. Tykhyy
The short-distance expansion of the tau function of the radial sine-Gordon/Painlevé III equation is given by a convergent series which involves irregular conformal blocks and…
Painlevé VI connection problem and monodromy of c=1 conformal blocks
N. Iorgov, O. Lisovyy, Yu. Tykhyy
Generic c=1 four-point conformal blocks on the Riemann sphere can be seen as the coefficients of Fourier expansion of the tau function of Painlevé VI equation with respect to one o…
Spin operator matrix elements in the quantum Ising chain: fermion approach
N. Iorgov, V. Shadura, Yu. Tykhyy
Using some modification of the standard fermion technique we derive factorized formula for spin operator matrix elements (form-factors) between general eigenstates of the Hamiltoni…
Algebraic solutions of the sixth Painleve equation
Oleg Lisovyy, Yuriy Tykhyy
We describe all finite orbits of an action of the extended modular group on conjugacy classes of SL(2,C)-triples. The result is used to classify all algebraic solutions of…
Form-factors in the Baxter-Bazhanov-Stroganov model II: Ising model on the finite lattice
G. von Gehlen, N. Iorgov, S. Pakuliak +2
We continue our investigation of the Baxter-Bazhanov-Stroganov or τ^{(2)}-model using the method of separation of variables [nlin/0603028,arXiv:0708.4342]. In this paper we derive…