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math.FA2005
Rearrangement inequalities for functionals with monotone integrands
Almut Burchard, Hichem Hajaiej
The rearrangement inequalities of Hardy-Littlewood and Riesz say that certain integrals involving products of two or three functions increase under symmetric decreasing rearrangeme…
math.FA1998
Hölder Regularity and Dimension Bounds for Random Curves
Michael Aizenman, Almut Burchard
Random systems of curves exhibiting fluctuating features on arbitrarily small scales () are often encountered in critical models. For such systems it is shown that scale-invaria…