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math.PR2023
Random Splitting of Point Vortex Flows
Andrea Agazzi, Francesco Grotto, Jonathan C. Mattingly
We consider a stochastic version of the point vortex system, in which the fluid velocity advects single vortices intermittently for small random times. Such system converges to the…
math.PR2023
Central limit theorems for Fréchet means on stratified spaces
Jonathan C. Mattingly, Ezra Miller, Do Tran
Fréchet means of samples from a probability measure on any smoothly stratified metric space M with curvature bounded above are shown to satisfy a central limit theorem (CLT). T…
math.PR2023
A central limit theorem for random tangent fields on stratified spaces
Jonathan C. Mattingly, Ezra Miller, Do Tran
Variation of empirical Fréchet means on a metric space with curvature bounded above is encoded via random fields indexed by unit tangent vectors. A central limit theorem shows thes…