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math.DS2022★ 2 cited
Quasi-compactness of transfer operators for topological Markov shifts with holes
Haruyoshi Tanaka
We consider transfer operators for topological Markov shift (TMS) with countable states and with holes which are -cylinders. As main results, if the closed system of the shift h…
math.DS2022★ 2 cited
General asymptotic perturbation theory in transfer operators
Haruyoshi Tanaka
We study higher-order asymptotic expansions of eigenvalues in perturbed transfer operators, of the corresponding eigenfunctions and of the corresponding eigenvectors of the dual op…