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math.AT2026
Asymmetrically Weighted Dowker Persistence and Applications in Dynamical Systems
Tobias Timofeyev, Christopher Potvin, Benjamin Jones +3
By their nature it is difficult to differentiate chaotic dynamical systems through measurement. In recent years, work has begun on using methods of Topological Data Analysis (TDA)…
math.AT2024
Topological Detection of Phenomenological Bifurcations with Unreliable Kernel Densities
Sunia Tanweer, Firas A. Khasawneh
Phenomenological (P-type) bifurcations are qualitative changes in stochastic dynamical systems whereby the stationary probability density function (PDF) changes its topology. The c…