Results 31 to 40 of about 25,976,263 (323)
Invariant random subgroups of the free group [PDF]
Let $G$ be a locally compact group. A random closed subgroup with conjugation-invariant law is called an {\em invariant random subgroup} or IRS for short. We show that each nonabelian free group has a large "zoo" of IRS's.
L. Bowen
semanticscholar +1 more source
The automorphism group of the free group of rank two is a CAT(0) group [PDF]
We prove that the automorphism group of the braid group on four strands acts faithfully and geometrically on a CAT(0) 2-complex. This implies that the automorphism group of the free group of rank two acts faithfully and geometrically on a CAT(0) 2 ...
Piggott, Adam +2 more
core +4 more sources
In order to solve the problem of whether the matrices generated by two unipotent matrices are unipotency, a new combinatorial property of generators of free groups is obtained by using the matrix logarithmic tool。From the point of the combination of ...
YANG Xin-song, MA Chang
doaj +1 more source
Background Obstructive sleep apnoea (OSA) presents a major healthcare challenge with current UK data suggesting that only 22% of individuals have been diagnosed and treated.
Stephanie K Mansell +5 more
doaj +1 more source
$L^p$ spectral multipliers on the free group $N_{3,2}$ [PDF]
Let L be a homogeneous sublaplacian on a stratified Lie group G of homogeneous dimension Q and topological dimension d. By a theorem of Mihlin-Hormander type due to Christ and to Mauceri and Meda, an operator of the form F(L) is of weak type (1,1) and ...
Alessio Martini, D. Muller
semanticscholar +1 more source
The free splitting complex of a free group I: Hyperbolicity [PDF]
We prove that the free splitting complex of a finite rank free group, also known as Hatcher's sphere complex, is hyperbolic.
M. Handel, L. Mosher
semanticscholar +1 more source
Dietary restriction (DR) and dietary deprivation (DD) have been shown to be significantly beneficial in terms of lifespan gains and stress alleviation in invertebrate and vertebrate species.
Sipho Sithole +3 more
doaj +1 more source
Random rigidity in the free group [PDF]
We prove a rigidity theorem for the geometry of the unit ball in random subspaces of the scl norm in B_1^H of a free group. In a free group F of rank k, a random word w of length n (conditioned to lie in [F,F]) has scl(w)=log(2k-1)n/6log(n) + o(n/log(n))
Danny Calegari, Alden Walker
semanticscholar +1 more source
Background The use of fat grafting as a reconstructive surgical option is becoming much more common. Adipose-derived stem cells found in fat grafts are believed to facilitate wound healing via differentiation into fibroblasts and keratinocytes and the ...
Oliver J. Smith +6 more
doaj +1 more source
Background Substance misuse, including problematic drug and alcohol use, are significant issues in society that can have multiple detrimental effects. Many people access support for their substance misuse during prison sentences, due to the associations ...
Sarah Elison-Davies +7 more
doaj +1 more source

