English

Generalized Toda flows

Spectral Theory 2018-01-10 v1

Abstract

The classical hierarchy of Toda flows can be thought of as an action of the (abelian) group of polynomials on Jacobi matrices. We present a generalization of this to the larger groups of C2C^2 and entire functions, and in this second case, we also introduce associated cocycles and in fact give center stage to this object.

Keywords

Cite

@article{arxiv.1801.03053,
  title  = {Generalized Toda flows},
  author = {Darren C. Ong and Christian Remling},
  journal= {arXiv preprint arXiv:1801.03053},
  year   = {2018}
}
R2 v1 2026-06-22T23:40:41.936Z