Vincent Divol

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math.ST2025

Minimax spectral estimation of weighted Laplace operators

Yann Chaubet, Vincent Divol

Given $n$ i.i.d. observations, we study the problem of estimating the spectrum of weighted Laplace operators of the form $I^_{f} = I^ + I^\pm \nabla lo g f \cdot \nabla$ , where $f$ is a posi…

math.ST2025

Measure estimation on a manifold explored by a diffusion process

From the observation of a diffusion path $(X_{t})_{t \in [0, T]}$ on a compact connected $d$ -dimensional manifold $M$ without boundary, we consider the problem of estimating…