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Pseudo-orbits, pseudoleaves and geometric entropy of foliations

Published online by Cambridge University Press:  01 December 1998

ANDRZEJ BIŚ and
PAWEŁ WALCZAK
ANDRZEJ BIŚ
Affiliation:
Wydział Matematyki, Uniwersytet Łódźki, Banacha 22, 90238 Łódź, Poland (e-mail: {andbis, pawelwal}@imul.uni.lodz.pl)
PAWEŁ WALCZAK
Affiliation:
Wydział Matematyki, Uniwersytet Łódźki, Banacha 22, 90238 Łódź, Poland (e-mail: {andbis, pawelwal}@imul.uni.lodz.pl)
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Abstract

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

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 18 , Issue 6 , December 1998, pp. 1335 - 1348
Copyright
1998 Cambridge University Press