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Topological entropy and algebraic entropy for group endomorphismsDikranjan, Dikran N., 1950- ; Giordano Bruno, AnnaThe notion of entropy appears in many fields and this paper is a survey about entropies in several branches of Mathematics. We are mainly concerned with the topological and the algebraic entropy in ... the context of continuous endomorphisms of locally compact groups, paying special attention to the case of compact and discrete groups respectively. The basic properties of these entropies, as well as many examples, are recalled. Also new entropy functions are proposed, as well as generalizations of several known definitions and results. Furthermore we give some connections with other topics in Mathematics as Mahler measure and Lehmer Problem from Number Theory, and the growth rate of groups and Milnor Problem from Geometric Group Theory. Most of the results are covered by complete proofs or references to appropriate sources.Vir: Proceedings of the International Conference on Topology and its Applications, ICTA 2011 (Str. 133-214)Vrsta gradiva - prispevek na konferenci ; neleposlovje za odrasleLeto - 2012Jezik - angleškiCOBISS.SI-ID - 16805977
Avtor
Dikranjan, Dikran N., 1950- |
Giordano Bruno, Anna
Teme
matematika |
topološke grupe |
entropija |
diskretni dinamični sistemi |
topološka entropija |
algebraična entropija |
lokalno kompaktne grupe |
Haarova mera |
endomorfizmi |
Abelova kategorija |
Pinskerjeva podgrupa |
Milnorjev problem |
mathematics |
topological groups |
entropy |
discrete dynamical system |
topological entropy |
uniform entropy |
functorial uniformity |
algebraic entropy |
(locally) compact group |
Haar measure |
endomorphism |
generalized Bernoulli shift |
Lehmer Problem |
growth rate |
Milnor Problem |
Pinsker subgroup |
abelian category |
torsion theory
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Dikranjan, Dikran N., 1950- | 28252 |
Giordano Bruno, Anna | ![]() |
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