2 citations · 2 across the 4 of their papers we have counts for
4 papers
Continuity of isomorphisms applied to rigidity problems of entropy spectra
Katsukuni Nakagawa
For a fixed topological Markov shift, we consider measure-preserving dynamical systems of Gibbs measures for 2-locally constant functions on the shift. We also consider isomorphism…
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…
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…
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…