Pseudo-orbits, pseudoleaves and geometric entropy of foliations

We show that the entropy of a finitely generated pseudogroup (resp., of a foliation of a compact Riemannian manifold) can be calculated by suitable counting separated pseudo-orbits (resp., pseudoleaves).

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Bibliographic Details
Published in:arXiv.org 1996-11
Main Authors: Biś, Andrzej, Walczak, Paweł
Format: Article
Language:English
Subjects:
Brownian motion
Entropy
Orbits
Riemann manifold
Online Access:Get full text
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Description
Summary:We show that the entropy of a finitely generated pseudogroup (resp., of a foliation of a compact Riemannian manifold) can be calculated by suitable counting separated pseudo-orbits (resp., pseudoleaves).
ISSN:2331-8422