Contact graphs, boundaries and a central limit theorem for CAT(0) cubical complexes

Central limit and other weak theorems (60F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67) Probabilistic methods in group theory (20P05)

Cites Work

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Central limit theorem for linear groups
The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
Immersing almost geodesic surfaces in a closed hyperbolic three manifold
Balanced walls for random groups
On the cubical geometry of Higman's group
Divergence and quasimorphisms of right-angled Artin groups.
Rank rigidity for CAT(0) cube complexes.
The rate of escape for anisotropic random walks in a tree
Morse theory and finiteness properties of groups
Random walks and boundaries of CAT(0) cubical complexes
Random walks on weakly hyperbolic groups
Central limit theorems for mapping class groups and $\operatorname{Out}(F_N)$
Cubulating spaces with walls.
Cubulating small cancellation groups.
The simplicial boundary of a CAT(0) cube complex
Central limit theorems for Gromov hyperbolic groups
Cross ratios and cubulations of hyperbolic groups
Deviation inequalities for random walks
Effective quasimorphisms on right-angled Artin groups
Hierarchically hyperbolic spaces. I: Curve complexes for cubical groups
Hierarchically hyperbolic spaces. II: Combination theorems and the distance formula
Exponential bounds for random walks on hyperbolic spaces without moment conditions
Some asymptotic properties of random walks on free groups
Central limit theorem on hyperbolic groups
The median class and superrigidity of actions on CAT(0) cube complexes
Weak hyperbolicity of cube complexes and quasi-arboreal groups
Cubulating random groups at density less than $1/6$
The Furstenberg–Poisson boundary and CAT(0) cube complexes
FROM WALL SPACES TO CAT(0) CUBE COMPLEXES
Coxeter Groups act on CAT(0) cube complexes
Ends of Group Pairs and Non-Positively Curved Cube Complexes
Central limit theorems for counting measures in coarse negative curvature
The Structure of Groups with a Quasiconvex Hierarchy
Martingale Central Limit Theorems
A Finitely Presented Group Whose 3-Dimensional Integral Homology is not Finitely Generated
Geometry and Dynamics in Gromov Hyperbolic Metric Spaces
Isometries of CAT(0) cube complexes are semi-simple
A note on the acylindrical hyperbolicity of groups acting on CAT(0) cube complexes

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