19 citations · 26 across the 6 of their papers we have counts for
7 papers
Exponential loss of memory for random Lasota--Yorke convex maps with local average expansion
Hongfei Cui, Juho Leppänen
We study i.i.d. random compositions of piecewise convex interval maps whose first branch is full. Uniform expansion is not required, and the maps may have contracting branches. Und…
A note on the run length function for intermittency maps
Hongfei Cui, Lulu Fang, Yiwei Zhang
We study the run length function for intermittency maps. In particular, we show that the longest consecutive zero digits (resp. one digits) having a time window of polynomial (resp…
Evaluation of node importance in complex networks
Shen Huang, Hongfei Cui, Yiming Ding
The assessment of node importance has been a fundamental issue in the research of complex networks. In this paper, we propose to use the Shannon-Parry measure (SPM) to evaluate the…
The rates of convergence for generalized entropy of the normalized sums of IID random variables
Hongfei Cui, Jianqiang Sun, Yiming Ding
We consider the generalized differential entropy of normalized sums of independent and identically distributed (IID) continuous random variables. We prove that the Rényi entropy an…
Statistical properties of interval maps with critical points and discontinuities
Hongfei Cui
We consider dynamical systems given by interval maps with a finite number of turning points (including critical points, discontinuities) possibly of different critical orders from…
Wandering intervals and absolutely continuous invariant probability measures of interval maps
Hongfei Cui, Yiming Ding
For piecewise interval maps possibly containing critical points and discontinuities with negative Schwarzian derivative, under two summability conditions on the growth of the…
Renormalization and conjugacy of piecewise linear Lorenz maps
Hong-Fei Cui, Yi-Ming Ding
For each piecewise linear Lorenz map that expand on average, we show that it admits a dichotomy: it is either periodic renormalizable or prime. As a result, such a map is conjugate…