93 citations · 751 across the 37 of their papers we have counts for
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math.CA2010★ 3 cited
Picard solution of Painlevé VI and related tau-functions
Vladimir V. Mangazeev
In this paper we obtain explicit expressions for tau-functions related to Picard type solutions of the Painlevé VI equation in terms of theta functions and their derivatives.
cond-mat.stat-mech2010★ 20 cited
Scaling and universality in the 2D Ising model with a magnetic field
Vladimir V. Mangazeev, Michael Yu. Dudalev, Vladimir V. Bazhanov +1
The scaling function of the 2D Ising model in a magnetic field on the square and triangular lattices is obtained numerically via Baxter's variational corner transfer matrix approac…
math-ph2010★ 12 cited
Form factor expansions in the 2D Ising model and Painlevé VI
Vladimir V. Mangazeev, Anthony J. Guttmann
We derive a Toda-type recurrence relation, in both high and low temperature regimes, for the - extended diagonal correlation functions of the two-dimensional Ising m…