28 citations · 34 across the 4 of their papers we have counts for
4 papers
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…
Uniqueness of polarization for the autonomous 4-dimensional Painlevé-type systems
Akane Nakamura, Eric Rains
We prove that for any autonomous 4-dimensional integral system of Painlevé type, the Jacobian of the generic spectral curve has a unique polarization, and thus by Torelli's theorem…
Autonomous limit of 4-dimensional Painlevé-type equations and degeneration of curves of genus two
Akane Nakamura
Higher dimensional analogs of the Painlevé equations have been proposed from various aspects. In recent studies, 4-dimensional analogs of the Painlevé equations were classified int…
Degeneration scheme of 4-dimensional Painlevé-type equations
Hiroshi Kawakami, Akane Nakamura, Hidetaka Sakai
Four 4-dimensional Painlevé-type equations are obtained by isomonodromic deformation of Fuchsian equations: they are the Garnier system in two variables, the Fuji-Suzuki system, th…