2 citations · 4 across the 3 of their papers we have counts for
3 papers
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…
math.DS2007★ 1 cited
Renormalization and alpha-limit set for expanding Lorenz maps
Yiming Ding
We show that there is a bijection between the renormalizations and proper completely invariant closed sets of expanding Lorenz map, which enable us to distinguish periodic and non-…