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math.PR2015
Uniform dimension results for fractional Brownian motion
Richárd Balka, Yuval Peres
Kaufman's dimension doubling theorem states that for a planar Brownian motion we have $$\mathbb{P}(\dim \mathbf{B}(A)=2\dim A \textrm{ for all } A\s…
math.PR2015
Restrictions of Hölder continuous functions
Omer Angel, Richárd Balka, András Máthé +1
For let denote the supremum of the numbers such that every -Hölder continuous function is of bounded variation on a set of Hausdorff dimension . Kahane and…