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math.DS2026
Detecting Regime Transitions in Dynamical Systems via the Mixup Euler Characteristic Profile
Sushovan Majhi, Atish Mitra, Santanu Nandi +2
We develop a framework for detecting regime transitions in dynamical systems using the Mixup Euler Characteristic Profile (Mixup ECP) -- the Euler characteristic of the geometric i…
math.DS2025
Topology of The Polar Vortex and Montana Weather
Joshua Dorrington, Sushovan Majhi, Atish Mitra +4
This paper explores the use of Topological Data Analysis (TDA) to investigate patterns in zonal-mean zonal winds of the Arctic, which make up the polar vortex, in order to better e…