3 papers
math.NT2025
Dimension theory of inhomogeneous Diophantine approximation with matrix sequences
Zhang-nan Hu, Junjie Huang, Bing Li +1
In this paper, we investigate the Hausdorff dimension of naturally occurring sets of inhomogeneous well-approximable points with a sequence of real invertible matrices $\mathcal{A}…
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 is hyperplane absolute winning on a closed hyperplane diffuse set , 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 conformal IFS on satisfying the OSC are exponentially mixing. We exploit…