Results 11 to 20 of about 42 (42)

Rigidity phenomena and the statistical properties of group actions on $\text {CAT}(0)$ cube complexes

Forum of Mathematics, Sigma
We compare the marked length spectra of some pairs of proper and cocompact cubical actions of a nonvirtually cyclic group on $\mathrm {CAT}(0)$ cube complexes.
Stephen Cantrell, Eduardo Reyes
doaj   +1 more source

Hyperbolic Metric Spaces and Stochastic Embeddings

Forum of Mathematics, Sigma
Stochastic embeddings of finite metric spaces into graph-theoretic trees have proven to be a vital tool for constructing approximation algorithms in theoretical computer science.
Chris Gartland
doaj   +1 more source

The conjugacy problem for $\operatorname {Out}(F_3)$

Forum of Mathematics, Sigma
We present a solution to the conjugacy problem in the group of outer automorphisms of $F_3$ , a free group of rank 3. We distinguish according to several computable invariants, such as irreducibility, subgroups of polynomial growth and subgroups ...
François Dahmani, Stefano Francaviglia, Armando Martino, Nicholas Touikan   +3 more
doaj   +1 more source

Contractibility of boundaries of cocompact convex sets and embeddings of limit sets

Analysis and Geometry in Metric Spaces
We provide sufficient conditions as to when a boundary component of a cocompact convex set in a CAT(0){\rm{CAT}}\left(0)-space is contractible. We then use this to study when the limit set of a quasi-convex, codimension one subgroup of a negatively ...
Bregman Corey, Incerti-Medici Merlin
doaj   +1 more source

A simple criterion for non-relative hyperbolicity and one-endedness of groups

, 2008
We give a combinatorial criterion that implies both the non-strong relative hyperbolicity and the one-endedness of a finitely generated group. We use this to show that many important classes of groups do not admit a strong relatively hyperbolic group ...
Javier Aramayona, James W. Anderson, Kenneth J. Shackleton   +2 more
core  

Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion-freeness. [PDF]

Bull Lond Math Soc, 2022
Hughes S.
europepmc   +1 more source

Relatively dominated representations from eigenvalue gaps and limit maps. [PDF]

Geom Dedic, 2023
Zhu F.
europepmc   +1 more source

Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative. [PDF]

Probab Theory Relat Fields, 2022
Aoun R, Sert C.
europepmc   +1 more source

Morse subsets of CAT(0) spaces are strongly contracting. [PDF]

Geom Dedic, 2020
Cashen CH.
europepmc   +1 more source

Non-hyperbolicity in random regular graphs and their traffic characteristics

Open Mathematics, 2013
Tucci Gabriel
doaj   +1 more source