48 citations · 162 across the 17 of their papers we have counts for
5 papers · 1 filter
A Chung--Fuchs type theorem for skew-product dynamical systems
Xiong Jin
We prove a Chung--Fuchs type theorem for skew-product dynamical systems with invertible base. Suppose that the Birkhoff averages of a measurable function converge to zero almost su…
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…
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…
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…
The Graph and Range Singularity Spectra of Random Wavelet Series built from Gibbs measures
Xiong Jin
We consider multifractal random wavelet series built from Gibbs measures, and study the singularity spectra associated with the graph and range of these functions restricted to the…