Entropy for hyperbolic Riemann surface laminations I

Details Entropy for hyperbolic Riemann surface laminations I Entropy for hyperbolic Riemann surface laminations I

2011-05-11

arxiv.org/abs/1105.2307v2

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.

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