3 papers
math.ST2025
Functional ErdÅs-Rényi laws for Lévy processes
Dimbihery Rabenoro
In this paper we establish functional ErdÅs-Renyi laws for Lévy processes, i.e. limit theorems for sets of functions on [0,1] associated to their increments. First, we determine…
math.ST2024
A geometric framework for asymptotic inference of principal subspaces in PCA
Dimbihery Rabenoro, Xavier Pennec
In this article, we develop an asymptotic method for constructing confidence regions for the set of all linear subspaces arising from PCA, from which we derive hypothesis tests on…
math.DG2024
Effective formulas for the geometry of normal homogeneous spaces. Application to flag manifolds
Dimbihery Rabenoro, Xavier Pennec
Consider a smooth manifold and an action on it of a compact connected Lie group with a bi-invariant metric. Then, any orbit is an embedded submanifold that is isometric to a normal…