3 citations · 3 across the 2 of their papers we have counts for
3 papers
math.DS2022
Furstenberg sumset conjecture and Mandelbrot percolations
Catherine Bruce, Xiong Jin
In this paper we extend Hochman and Shmerkin's projection theorem to product measures of Mandelbrot cascades acting on ergodic measures imaged through canonical mappings of one-dim…
math.DS2018★ 3 cited
Projections of Gibbs measures on self-conformal sets
Catherine Bruce, Xiong Jin
We show that, under an ergodicity assumption on the rotation skew product, every orthogonal projection of a Gibbs measure on a self-conformal set in () has th…
math.DS2015
The Hausdorff dimension of quasi-circles: a result of Ruelle and Bowen
Catherine Bruce
We provide an expanded and clarified proof of the famous result of Bowen and Ruelle giving an asymptotic formula for the Hausdorff dimension of quasi-circles corresponding to the J…