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Monodromy of certain Painlevé–VI transcendents and reflection groups

- B. Dubrovin, M. Mazzocco
- Mathematics
- 10 June 1998

Abstract.We study the global analytic properties of the solutions of a particular family of Painlevé VI equations with the parameters β=γ=0, δ=1/2 and 2α=(2μ-1)2 with arbitrary μ, 2μ≠∈ℤ. We introduce… Expand

Canonical Structure and Symmetries of the Schlesinger Equations

- B. Dubrovin, M. Mazzocco
- Mathematics
- 16 November 2003

The Schlesinger equations S(n,m) describe monodromy preserving deformations of order m Fuchsian systems with n + 1 poles. They can be considered as a family of commuting time-dependent Hamiltonian… Expand

The Hamiltonian structure of the second Painlevé hierarchy

- M. Mazzocco, Man Yue Mo
- Mathematics
- 27 October 2006

In this paper we study the Hamiltonian structure of the second Painlevé hierarchy, an infinite sequence of nonlinear ordinary differential equations containing PII as its simplest equation. The nth… Expand

IFN-gamma-mediated upmodulation of MHC class I expression activates tumor-specific immune response in a mouse model of prostate cancer.

- M. Martini, M. G. Testi,
+17 authors S. Sartoris - Biology, MedicineVaccine
- 30 April 2010

Existence and uniqueness of tri-tronquée solutions of the second Painlevé hierarchy

- N. Joshi, M. Mazzocco
- Mathematics
- 9 December 2002

The first five classical Painleve equations are known to have solutions described by divergent asymptotic power series near infinity. Here, we prove that such solutions also exist for the infinite… Expand

Rational solutions of the Painlevé VI equation

- M. Mazzocco
- Mathematics
- 24 July 2000

In this paper, we classify all values of the parameters α, β, γ and δ of the Painleve VI equation such that there are rational solutions. We give a formula for them up to the birational canonical… Expand

Painlevé sixth equation as isomonodromic deformations equation of an irregular system

- M. Mazzocco
- Mathematics
- 16 July 2002

Painlev\'e monodromy manifolds, decorated character varieties and cluster algebras

- L. Chekhov, M. Mazzocco, V. Rubtsov
- Mathematics
- 12 November 2015

In this paper we introduce the concept of decorated character variety for the Riemann surfaces arising in the theory of the Painlev\'e differential equations. Since all Painlev\'e differential… Expand

Dualities in the q‐Askey Scheme and Degenerate DAHA

- T. Koornwinder, M. Mazzocco
- MathematicsStudies in Applied Mathematics
- 7 March 2018

The Askey–Wilson polynomials are a four‐parameter family of orthogonal symmetric Laurent polynomials Rn[z] that are eigenfunctions of a second‐order q‐difference operator L, and of a second‐order… Expand

THE LAX PAIR FOR THE MKDV HIERARCHY

- P. Clarkson, N. Joshi, M. Mazzocco
- Mathematics
- 2006

Rational solutions of the second, third and fourth Painleve equations (-) can be expressed in terms of logarithmic derivatives of special polynomials that are defined through coupled second order,… Expand

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