Toda flow with unbounded initial data
Spectral Theory
2026-04-08 v1
Abstract
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 are allowed, and especially \b{eta}-ensembles matrix models in random matrix theory can be an initial data and they yiled invariant measures for the flow.
Keywords
Cite
@article{arxiv.2604.05434,
title = {Toda flow with unbounded initial data},
author = {Shinichi Kotani and Jiahao Xu and Shuo Zhang},
journal= {arXiv preprint arXiv:2604.05434},
year = {2026}
}
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56 pages