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math.DS2026
Multi-parameter persistence in dynamical systems for maximizing effects of control inputs
Yusuke Imoto, Tomoo Yokoyama
We introduce a new topological method to naturally extend a partial function on a ``generalization'' of a metric space equipped w…
math.DS2025
Filtrations Indexed by Attracting Levels and their Applications
Yusuke Imoto, Tomoo Yokoyama
We introduce a new class of filtrations indexed by attracting levels in dynamical systems, providing novel inputs for persistent homology and related methods in topological data an…