2 papers
math.SP2026
Toda flow with unbounded initial data
Shinichi Kotani, Jiahao Xu, Shuo Zhang
A Toda flow is constructed starting from a certain class of unbounded initial conditions including sequences growing with power order of less than 1. Unbounded ergodic sequences ar…
math.SP2024
Construction of Toda flow via Sato-Segal-Wilson theory
Shuo Zhang, Shinichi Kotani, Jiahao Xu
A Toda flow is constructed on a space of bounded initial data through Sato-Segal-Wilson theory. The flow is described by the Weyl functions of the underlying Jacobi operators. This…