Four-dimensional Painlevé-type difference equations
arXiv:1802.00116
Abstract
We focus on Fuchsian equations with four accessory parameters and three singular points. We see that the Fuchsian equations admit a "degeneration scheme" in some sense, which is expected to give rise to a degeneration scheme of discrete isomodromic deformation equations with four-dimensional phase space. We compute an example of discrete isomonodromic deformation equations of a certain Fuchsian equation.
21 pages
References in corpus (4)
- Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations III: Garnier Systems and Fuji-Suzuki Systems
- Commutation Relations and Discrete Garnier Systems
- Four-dimensional Painlevé-type equations associated with ramified linear equations I: Matrix Painlevé systems
- Four-dimensional Painlevé-type equations associated with ramified linear equations II: Sasano systems