48 citations · 162 across the 17 of their papers we have counts for
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math.DS2012★ 40 cited
Exact dimensionality and projections of random self-similar measures and sets
Kenneth Falconer, Xiong Jin
We study the geometric properties of random multiplicative cascade measures defined on self-similar sets. We show that such measures and their projections and sections are almost s…
math.PR2012★ 1 cited
On exact scaling log-Infinitely divisible cascades
Julien Barral, Xiong Jin
In this paper we extend some classical results valid for canonical multiplicative cascades to exact scaling log-infinitely divisible cascades. We complete previous results on non-d…
math.PR2012★ 48 cited
Gaussian multiplicative chaos and KPZ duality
Julien Barral, Xiong Jin, Rémi Rhodes +1
This paper is concerned with the construction of atomic Gaussian multiplicative chaos and the KPZ formula in Liouville quantum gravity. On the first hand, we construct purely atomi…