[HTML][HTML] The three way Dirac operator and dynamical Turing and Dirac induced patterns on nodes and links

R Muolo, T Carletti, G Bianconi - Chaos, Solitons & Fractals, 2024‏ - Elsevier
Topological signals are dynamical variables not only defined on nodes but also on links of a
network that are gaining significant attention in non-linear dynamics and topology and have …

Tangent bundle convolutional learning: from manifolds to cellular sheaves and back

C Battiloro, Z Wang, H Riess… - IEEE Transactions …, 2024‏ - ieeexplore.ieee.org
In this work we introduce a convolution operation over the tangent bundle of Riemann
manifolds in terms of exponentials of the Connection Laplacian operator. We define tangent …