3 papers
math.SP2021
Construction of KdV flow
Shinichi Kotani
A KdV flow is constructed on a space whose structure is described in terms of the spectrum of the underlying Schrödinger operators. The space includes the conventional decaying fun…
math.SP2018
Construction of KdV flow I. Tau function via Weyl function
Shinichi Kotani
Sato introduced the tau-function to describe solutions to a wide class of completely integrable differential equations. Later Segal-Wilson represented it in terms of the relevant i…
math-ph2016
Poisson statistics for 1d Schrödinger operators with random decaying potentials
Shinichi Kotani, Fumihiko Nakano
We consider the 1d Schrödinger operators with random decaying potentials where the spectrum is pure point(sub-critical case). We show that the point process composed of the rescale…