A new pointwise invariant, the Point-Cross Dimension, quantifies the cumulative weighted complexity of independent directional channels through a single germ, separating directionality from isotropic dispersion.
Kigami,Analysis on Fractals, Cambridge Tracts in Mathematics, vol
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Point-dimension theory (part II): The point-cross dimension
A new pointwise invariant, the Point-Cross Dimension, quantifies the cumulative weighted complexity of independent directional channels through a single germ, separating directionality from isotropic dispersion.