19 citations · 26 across the 6 of their papers we have counts for
5 papers · 1 filter
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…
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…