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On the packing dimension of projected measures
arXiv Math
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이 매체는 공공·자유 라이선스로 본문을 직접 표시합니다.Abstract
We study the packing dimension of Borel measures under orthogonal projections.
We give a necessary and sufficient condition such that typical projections of Borel probability measures have full packing dimension and derive general lower bounds in the complementary case.
Our approach shows that the Assouad dimension of the support influences the behavior of projected measures.
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