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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
##### Keywords:
topological entropy; Burau representation