Haruyoshi Tanaka

collaborators

3 papers

math.DS2025

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…

math.PR2025

Perturbed infinite-state Markov systems with holes and its application

Haruyoshi Tanaka

We consider a perturbed system $(X, φ (ε, \cdot))$ , where $X$ is a topological Markov shift with a countably infinite state space, and $φ (ε, \cdot)$ is a real-valued potential on X dep…

math.DS2023

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…