Entropie topologique et représentation de Burau
Kolev, Boris
HAL, hal-00003262 / Harvested from HAL
Text on HAL
Let f be an orientation-preserving homeomorphism of the disk D, P a finite invariant subset and [f] the isotopy class of f in D\P. We give a non trivial lower bound of the topological entropy for maps in [f], using the spectral radius of some specializations in GL(n,C) of the Burau matrix associated with [f] and we discuss some examples.
Publié le : 1989-07-05
Classification:  Entropie topologique,  Représentation de Burau,  20F36; 54C70; 57M05,  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS],  [MATH.MATH-AT]Mathematics [math]/Algebraic Topology [math.AT] 
@article{hal-00003262,
     author = {Kolev, Boris},
     title = {Entropie topologique et repr\'esentation de Burau},
     journal = {HAL},
     volume = {1989},
     number = {0},
     year = {1989},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00003262}
}

Kolev, Boris. Entropie topologique et représentation de Burau. HAL, Tome 1989 (1989) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003262/