%0 Journal Article
%T Renormalization and conjugacy of piecewise linear Lorenz maps
%A Hong-Fei Cui
%A Yi-Ming Ding
%J Mathematics
%D 2009
%I arXiv
%X 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 to a $\beta$-transformation.
%U http://arxiv.org/abs/0906.3131v3