Marstrand's projection theorem fails for the Assouad spectrum and quasi-Assouad dimension, with new almost-sure lower bounds from capacity profiles and upper bounds from tube-counting for planar sets.
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On the Marstrand projection theorem for the Assouad spectrum
Marstrand's projection theorem fails for the Assouad spectrum and quasi-Assouad dimension, with new almost-sure lower bounds from capacity profiles and upper bounds from tube-counting for planar sets.