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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 , where is a topological Markov shift with a countably infinite state space, and is a real-valued potential on X dep…