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math.AT2026
A Stable Measure of Chaos in Dynamical Systems using Persistent Homology
Bala Krishnamoorthy, Elizabeth Thompson
Many real-world dynamics exhibit chaos, a phenomenon in which neighboring trajectories in the state space of a dynamical system diverge exponentially over time. A common measure us…
math.AT2025
A Stable Measure of Similarity for Time Series using Persistent Homology
Bala Krishnamoorthy, Elizabeth P. Thompson
Persistent homology, the study of holes that appear in data as one thickens balls centered around its points over time, has theoretically guaranteed stability. That is, small data…