A central limit theorem for random tangent fields on stratified spaces

Jonathan C. Mattingly; Ezra Miller; Do Tran

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arXiv · 2311.09454

A central limit theorem for random tangent fields on stratified spaces

Jonathan C. Mattingly·Ezra Miller·Do Tran

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Abstract

Variation of empirical Fr\'echet means on a metric space with curvature bounded above is encoded via random fields indexed by unit tangent vectors. A central limit theorem shows these random tangent fields converge to a Gaussian such field and lays the foundation for more traditionally formulated central limit theorems in subsequent work.

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Jonathan C. Mattingly, Ezra Miller, Do Tran. 2023-11-15. A central limit theorem for random tangent fields on stratified spaces. https://arxiv.org/abs/2311.09454

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