Author

De-Rong Kong

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Preprint Oct 2026

Random Survivor Sets with Moving Holes in Bedford-McMullen Carpets

Let $2\le m<n$ be integers, and let $K(\mathcal{A})$ be the Bedford--McMullen carpet generated by $\{(x,y)\mapsto((x+i)/m,(y+j)/n):(i,j)\in\mathcal{A}\}$, where $\mathcal{A}$ is a subset of $\{0,1,\ldots,m-1\}\times\{0,1,\ldots,n-1\}$. Write $\mathcal{B}$ for the set of occupied columns, and assume that $\#\mathcal{B}\...

De-Rong Kong, Cai-Yun Ma, K. Simon · 0 citations

Preprint Sep 2026

Asymptotic separation of periodic orbits and fractal dimension

For a totally bounded metric dynamical system $(X, d, T)$ we introduce a new critical value $\mathfrak s(X, d, T)$ which quantifies the asymptotic separation of periodic orbits. More precisely, $\mathfrak s(X,d,T)$ is defined to be the supremum of all $s\ge 0$ for which there exists a sequence of periodic orbits $\{\ma...

De-Rong Kong, Zhi-Qiang Wang, Dao-Hua Yu · 0 citations