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math.PR2022
Wavelet methods to study the pointwise regularity of the generalized Rosenblatt process
Lara Daw, Laurent Loosveldt
We prove that we can identify three types of pointwise behaviour in the regularity of the (generalized) Rosenblatt process. This extends to a non Gaussian setting previous results…
math.CA2022
Potential method and projection theorems for macroscopic Hausdorff dimension
Lara Daw, Stéphane Seuret
The macroscopic Hausdorff dimension Dim H (E) of a set E R d was introduced by Barlow and Taylor to quantify a "fractal at large scales" behavior of unbounded, possibly d…