2 citations · 4 across the 7 of their papers we have counts for
7 papers
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…
Perturbed infinite-state Markov systems with holes and its application
Haruyoshi Tanaka
We consider a perturbed system , where is a topological Markov shift with a countably infinite state space, and is a real-valued potential on X dep…
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…
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…
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…
Perturbation analysis in thermodynamics using matrix representations of Ruelle transfer operators
Haruyoshi Tanaka
We study perturbations of topological pressures, Gibbs measures and measure-theoretic entropies of these measures concerning perturbed potentials defined on topologically transitiv…