Junjie Huang

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math.DS2025

A winning approach to the intersections of twisted non-recurrent sets with fractals

Junjie Huang, Bing Li, Bo Wang +1

In this paper, we prove that if $S \subseteq R^{d}$ is hyperplane absolute winning on a closed hyperplane diffuse set $L \subseteq R^{d}$ , then $\mathrm{dim}_H S\cap K=\m…

math.DS2025

Exponential mixing for Gibbs measures on self-conformal sets and applications

Junjie Huang, Bing Li, Sanju Velani

In this paper, we show that Gibbs measures on self-conformal sets generated by a $C^{1 + I^\pm}$ conformal IFS on $R^{d}$ satisfying the OSC are exponentially mixing. We exploit…