Mathematics – Dynamical Systems
Scientific paper
2011-05-11
Mathematics
Dynamical Systems
27 pages, Part 1. The article is adapted for the use we need in the second part of our study of hyperbolic entropy for singula
Scientific paper
We develop a notion of entropy, using hyperbolic time, for laminations by
hyperbolic Riemann surfaces. When the lamination is compact and transversally
smooth, we show that the entropy is finite and the Poincare metric on leaves is
transversally Holder continuous. A notion of metric entropy is also introduced
for harmonic measures.
Dinh Tien-Cuong
Nguyen Viet-Anh
Sibony Nessim
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