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The ping-pong game, geometric entropy and expansiveness for group actions on Peano continua having free dendrites

100%

Shi E., Wang S.

Fundamenta Mathematicae

2009

tom 203

nr 1

21-37

It is shown that each expansive group action on a Peano continuum having a free dendrite must have a ping-pong game, and has positive geometric entropy when the acting group is finitely generated. As a corollary, it is shown that each Peano continuum having a free dendrite admits no expansive nilpotent group actions.

Topological transitivity of solvable group actions on the line ℝ

81%

Wang S., Shi E., Zhou L., Cairns G.

Colloquium Mathematicum

2009

tom 116

nr 2

203-215

Let ϕ:G → Homeo₊(ℝ) be an orientation preserving action of a discrete solvable group G on ℝ. In this paper, the topological transitivity of ϕ is investigated. In particular, the relations between the dynamical complexity of G and the algebraic structure of G are considered.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Fundamenta Mathematicae

2 Shi E.

2 Wang S.

1 Cairns G.

1 Zhou L.

2 2009

Wyniki wyszukiwania

The ping-pong game, geometric entropy and expansiveness for group actions on Peano continua having free dendrites

Topological transitivity of solvable group actions on the line ℝ