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Degenerate perturbations of infinite graph-directed iterated function systems
Haruyoshi Tanaka
We study infinite graph-directed iterated function systems (GIFS) whose underlying graph is not strongly connected and has countably many vertices and edges. In addition to a summa…
Dimension estimates in nonconformal graph directed iterated function systems via asymptotic perturbation
Haruyoshi Tanaka
We consider infinite graph-directed iterated function systems (GIFSs) whose contraction mappings are nonconformal. As our main result, we formulate asymptotic perturbations from co…
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…
Asymptotic solution of Bowen equation for perturbed potentials on shift spaces with countable states
Haruyoshi Tanaka
We study the asymptotic solution of the equation of the pressure function for perturbed potentials and defined on the…