Details

Autor(en) / Beteiligte

• BUZZI, JÉRÔME

Titel

Piecewise isometries have zero topological entropy

Ist Teil von

• Ergodic theory and dynamical systems, 2001-10, Vol.21 (5), p.1371-1377

Ort / Verlag

Cambridge, UK: Cambridge University Press

Erscheinungsjahr

2001

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We show that piecewise isometries, i.e. non-necessarily invertible maps defined on a finite union of polytopes and coinciding with an isometry on the interior of each polytope, have zero topological entropy in any dimension. This had been conjectured by a number of authors. The proof is by an induction on the dimension and uses a device (the differential of a piecewise linear map) introduced by M. Tsujii.