A necessary and sufficient condition determines when typical projections of Borel probability measures have full packing dimension, with general lower bounds in other cases, modulated by the Assouad dimension of the support.
Angelini, Ursula M
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On the packing dimension of projected measures
A necessary and sufficient condition determines when typical projections of Borel probability measures have full packing dimension, with general lower bounds in other cases, modulated by the Assouad dimension of the support.