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The distribution of the poles of branches of the Painleve' VI transcendents associated to semi-simple Frobenius manifolds is determined close to a critical point.
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M. Jimbo: Monodromy Problem and the Boundary condition for some Painlevé Equations
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K.Okamoto: Studies on the Painlevé Equation. I – Sixth Painlevé Equation P V I P_{VI}
1987
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S. Shimomura: A Family of Solutions of a Nonlinear Ordinary Differntial Equation and its Application to Painlevé Equations (III), (V), (VI)
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B. Dubrovin: Painlevé transcendents in to-dimensional topological field theory
1999
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D. Guzzetti: Stokes matrices and monodromy for the quantum cohomology of projective spaces
1999
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H. Watanabe: Birational canonical transformations and classical solutions of the sixth Painlevé equation
1999
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B. Dubrovin, M. Mazzocco: Monodromy of certain Painlevé transcendents and reflection groups
2000
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D. Guzzetti: Inverse Problem and Monodromy Data for 3-dimensional Frobenius Manifolds
2001
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D. Guzzetti On the Critical Behavior, the Connection Problem and the Elliptic Representation of a Painlevé 6 Equation
2001
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M.Mazzocco: Rational Solutions of the Painlevé VI Equation
2001
D. Guzzetti: Matching procedure for the sixth Painlevé equation
2006
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A.D.Bruno, I.V. Goryuchkina: All the Asymptotic Expansions of Solutions of the Sixth Painlevé Equation
2007
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B. Dubrovin; M. Mazzocco: Canonical structure and symmetries of the Schlesinger equations
2007
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D. Guzzetti: The Logaritmic asymptotics of the sixth Painlevé equation
2008
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Y.V. Brezhnev: τ \tau -function solution of the Sixth Painlevé Transcendent
2009
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A.D.Bruno, I.V. Goryuchkina: Asymptotic Expansions of Solutions of the Sixth Painlevé Equation
2010
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Cited alongside, same era.
M.Mazzocco: Picard and Chazy solutions to the Painlevé VI equation
2001
Cited alongside, same era.
D. Guzzetti: The Elliptic Representation of the General Painlevé VI Equation
2002
Cited alongside, same era.
K. Iwasaki: An area-preserving action of the modular group on cubic surfaces and the Painlevé VI equation
2003
Cited alongside, same era.
Picard, E.: Mémoire sur la Théorie des functions algébriques de deux variables. Journal de Liouville
Cited in the paper.
D. Guzzetti: Solving the sixth Painlevé equation: towards the classification of all the critical behaviors and the connection formulae
2011
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