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math.DS2010★ 19 cited
Multifractal structure of Bernoulli convolutions
Thomas Jordan, Pablo Shmerkin, Boris Solomyak
Let be the distribution of the random series , where is a sequence of i.i.d. random variables taking the values 0,1 with probabilities $p,1…
math.CA2010
The dimension of weakly mean porous measures: a probabilistic approach
Pablo Shmerkin
Using probabilistic ideas, we prove that the packing dimension of a mean porous measure is strictly smaller than the dimension of the ambient space. Moreover, we give an explicit b…