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• #### A geometric and physical study of Riemann's non-differentiable function ﻿

(2020-07-08)
Riemann's non-differentiable function is a classic example of a continuous but almost nowhere differentiable function, whose analytic regularity has been widely studied since it was proposed in the second half of the 19th ...
• #### Pointwise Convergence over Fractals for Dispersive Equations with Homogeneous Symbol ﻿

(2021-08-24)
We study the problem of pointwise convergence for equations of the type $i\hbar\partial_tu + P(D)u = 0$, where the symbol $P$ is real, homogeneous and non-singular. We prove that for initial data $f\in H^s(\mathbb{R}^n)$ ...