New filtrations indexed by attracting levels quantify trajectory sensitivity to attractors in dynamical systems and demonstrate use on tropical cyclone ensemble forecasts.
arXiv preprint arXiv:2504.01325 , year=
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Introduces a multi-parameter persistence extension of partial functions on dynamical systems to construct three-parameter filtrations identifying optimal ε-perturbation paths minimizing h.
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Filtrations Indexed by Attracting Levels and their Applications
New filtrations indexed by attracting levels quantify trajectory sensitivity to attractors in dynamical systems and demonstrate use on tropical cyclone ensemble forecasts.
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Multi-parameter persistence in dynamical systems for maximizing effects of control inputs
Introduces a multi-parameter persistence extension of partial functions on dynamical systems to construct three-parameter filtrations identifying optimal ε-perturbation paths minimizing h.