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On the pointwise regularity of the Multifractional Browni...
Céline Esser, Laurent Loosveldt · 2023-02-13 · via math.PR updates on arXiv.org

We study the pointwise regularity of the Multifractional Brownian Motion and in particular, we get the existence of slow points. It shows that a non self-similar process can still enjoy this property. We also consider various extensions of our results in the aim of requesting a weaker regularity assumption for the Hurst function without altering the regularity of the process.

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