Multi Ping-Pong and an Entropy Estimate in Groups

• Autorzy: Katarzyna Tarchała , Paweł Walczak
• Języki publikacji: EN

Abstrakty

EN

We provide an entropy estimate from below for a finitely generated group of transformation of a compact metric space which contains a ping-pong game with several players located anywhere in the group. (original abstract)

Słowa kluczowe

EN

Mathematics; Entropy

PL

Matematyka; Entropia

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2018
• Tom: 32
• Strony: 313--318

Twórcy

autor

Katarzyna Tarchała

• The University of Lodz, Poland

autor

Paweł Walczak

• The University of Lodz, Poland

Bibliografia

• Ash R.B., Information theory, Dover Publ., New York, 1990.
• Candel A., Conlon L., Foliations. I, Amer. Math. Soc., Providence, 2000.
• Cover T.M., Thomas J.A., Elements of information theory, John Wiley & Sons Publ., Hoboken, 2006.
• Ghys É., Langevin R., Walczak P., Entropie géométrique des feuilletages, Acta Math. 160 (1988), 105-142.
• Harpe P. de la, Topics in geometric group theory, Chicago Lect. in Math., Univ. of Chicago Press, Chicago, 2000.
• Langevin R., Walczak P., Some invariants measuring dynamics of codimension-one foliations, in: T. Mizutani et al. (Eds.), Geometric study of foliations, World Sci. Publ., Singapore, 1994, pp. 345-358.
• Llibre J., Misiurewicz M., Horseshoes, entropy and periods for graph maps, Topology 32 (1993), 649-664.
• Shi E., Wang S., The ping-pong game, geometric entropy and expansiveness for group actions on Peano continua having free dendrites, Fund. Math. 203 (2009), 21-37.
• Tarchała K., Walczak P., Ping-pong and an entropy estimate in groups, Preprint 2017.
• Walczak P., Dynamics of foliations, groups and pseudogroups, Monografie Matematyczne, Vol. 64, Birkhäuser, Basel, 2004.

Identyfikatory

DOI

10.1515/amsil-2017-0018