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Entropie topologique et représentation de Burau. (Topological entropy and Burau representation). (French) Zbl 0688.58021
Summary: Let f be an orientation preserving homeomorphism of the disk \(D^ 2\), P a finite invariant set and [f] the isotopy class of f in \(D^ 2-P\). We give a nontrivial minoration of the topological entropy for maps in [f], using the spectral radius of some specializations in GL(n,\({\mathbb{C}})\) of the Burau matrix associated with [f] and we give an example which shows the interest of this minoration.

MSC:
37A99 Ergodic theory
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