The paper establishes new upper bounds on the packing dimension of weighted singular and ω-singular matrices, including on fractal subsets, via homogeneous dynamics on lattices whose orbits p-escape on average.
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On the packing dimension of weighted singular matrices on fractals
The paper establishes new upper bounds on the packing dimension of weighted singular and ω-singular matrices, including on fractal subsets, via homogeneous dynamics on lattices whose orbits p-escape on average.