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math-ph2020
Discrete Hamiltonians of discrete Painlevé equations
Takafumi Mase, Akane Nakamura, Hidetaka Sakai
We express discrete Painlevé equations as discrete Hamiltonian systems. The discrete Hamiltonian systems here mean the canonical transformations defined by generating functions. Ou…
math-ph2017★ 15 cited
CFT approach to the -Painlevé VI equation
M. Jimbo, H. Nagoya, H. Sakai
Iorgov, Lisovyy, and Teschner established a connection between isomonodromic deformation of linear differential equations and Liouville conformal field theory at . In this pap…
math-ph2013★ 13 cited
Discrete Schlesinger Transformations, their Hamiltonian Formulation, and Difference Painlevé Equations
Anton Dzhamay, Hidetaka Sakai, Tomoyuki Takenawa
Schlesinger transformations are algebraic transformations of a Fuchsian system that preserve its monodromy representation and act on the characteristic indices of the system by int…