3 papers
math.DS2020
Weak rigidity of entropy spectra
Katsukuni Nakagawa
In this paper, we consider entropy spectra on topological Markov shifts. We prove that if two measure-preserving dynamical systems of Gibbs measures with Hölder continuous potentia…
math.FA2020
Decomposition of Normal Operators and Its Application to Spectral Theorem
Katsukuni Nakagawa
A decomposition theorem for self-adjoint operators proved by Riesz and Lorch is extended to normal operators. This extension gives a new proof of the spectral theorem for unbounded…
math.DS2020
Compactness of Transfer Operators and Spectral Representation of Ruelle Zeta Functions for Super-continuous Functions
Katsukuni Nakagawa
Transfer operators and Ruelle zeta functions for super-continuous functions on one-sided topological Markov shifts are considered. For every super-continuous function, we construct…