2 citations · 3 across the 2 of their papers we have counts for
3 papers
math.DS2018
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…
cs.IT2011★ 1 cited
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…
math.DS2009★ 2 cited
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…