Add to ORKGWe show that low-density random quotients of cubulated hyperbolic groups are again cubulated and hyperbolic. Ingredients of the proof include cubical small-cancellation theory, the exponential growth of conjugacy classes, and the statement that hyperplane stabilizers grow exponentially more slowly than the ambient cubical group.Comment: 40 pages, 13 figure
In this paper, we determine the distribution of the length partition of a random multicurve of fixed...
2nd version: full redaction, 24 pagesWe prove that that for all $\eps$, having cogrowth exponent at ...
textWe present new (and old) examples showing the difficulty of defining density for packings of hy...
What does a typical quotient of a group look like? Gromov looked at the density model of quotients o...
The standard (n, k, d) model of random groups is a model where the relators are chosen randomly from...
International audienceWe prove that random groups at density less than 1/6 act freely and cocompactl...
2nd version (full redaction): 24 pagesGrigorchuk and de la Harpe asked if there are many groups with...
We study $\ell^2$ Betti numbers, coherence, and virtual fibring of random groups in the few-relator ...
International audienceWe consider models of random groups in which the typical group is of intermedi...
Given a finite generating set $S$, let us endow the mapping class group of a closed hyperbolic surfa...
These notes are a self-contained introduction to the use of dynamical and probabilistic methods in ...
We estimate the operator norm of radial non-negative functions on hyperbolic groups. As a consequenc...
We prove using a novel random matrix model that all right-angled Artin groups have a sequence of fin...
We describe a procedure to deform cubulations of hyperbolic groups by "bending hyperplanes". Our con...
We prove a general version of the amenability conjecture in the unified setting of a Gromov hyperbol...
In this paper, we determine the distribution of the length partition of a random multicurve of fixed...
2nd version: full redaction, 24 pagesWe prove that that for all $\eps$, having cogrowth exponent at ...
textWe present new (and old) examples showing the difficulty of defining density for packings of hy...
What does a typical quotient of a group look like? Gromov looked at the density model of quotients o...
The standard (n, k, d) model of random groups is a model where the relators are chosen randomly from...
International audienceWe prove that random groups at density less than 1/6 act freely and cocompactl...
2nd version (full redaction): 24 pagesGrigorchuk and de la Harpe asked if there are many groups with...
We study $\ell^2$ Betti numbers, coherence, and virtual fibring of random groups in the few-relator ...
International audienceWe consider models of random groups in which the typical group is of intermedi...
Given a finite generating set $S$, let us endow the mapping class group of a closed hyperbolic surfa...
These notes are a self-contained introduction to the use of dynamical and probabilistic methods in ...
We estimate the operator norm of radial non-negative functions on hyperbolic groups. As a consequenc...
We prove using a novel random matrix model that all right-angled Artin groups have a sequence of fin...
We describe a procedure to deform cubulations of hyperbolic groups by "bending hyperplanes". Our con...
We prove a general version of the amenability conjecture in the unified setting of a Gromov hyperbol...
In this paper, we determine the distribution of the length partition of a random multicurve of fixed...
2nd version: full redaction, 24 pagesWe prove that that for all $\eps$, having cogrowth exponent at ...
textWe present new (and old) examples showing the difficulty of defining density for packings of hy...