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math.PR2025
On the Fourier dimension of fractional Brownian graphs
Cheuk Yin Lee, Samy Tindel
In this note we prove that the Fourier dimension of the graph of a fractional Brownian motion with Hurst parameter is equal to 1. This finishes to solve a…
math.PR2025
Weighted Besov spaces on Heisenberg groups and applications to the Parabolic Anderson model
Fabrice Baudoin, Li Chen, Che-Hung Huang +3
This article aims at a proper definition and resolution of the parabolic Anderson model on Heisenberg groups . This stochastic PDE is understood in a pathwise (Stra…