2 papers
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.CA2019
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…