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Generic free subgroups and statistical hyperbolicity

期刊: GROUPS GEOMETRY AND DYNAMICS, 2021; 15 (1)

This paper studies the generic behavior of k-tuples of elements for k >= 2 in a proper group action with contracting elements, with applications to......

Finiteness of mapping class groups: locally large strongly irreducible Heegaard splittings

期刊: GROUPS GEOMETRY AND DYNAMICS, 2020; 14 (2)

By Namazi and Johnson's results, for any distance at least 4 Heegaard splitting, its mapping class group is finite. In contrast, Namazi showed that fo......

Topological transitivity and wandering intervals for group actions on the line R

期刊: GROUPS GEOMETRY AND DYNAMICS, 2019; 13 (1)

For every group G, we show that either G has a topologically transitive action on the line R by orientation-preserving homeomorphisms, or every orient......

JIF:0.63

Ergodic measures on infinite skew-symmetric matrices over non-Archimedean local fields

期刊: GROUPS GEOMETRY AND DYNAMICS, 2019; 13 (4)

Let F be a non-discrete non-Archimedean locally compact field such that the characteristic char (F) not equal 2 and let O-F be the ring of integers in......

JIF:0.63

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