Results 31 to 40 of about 7,754 (304)
Comparative Gromov hyperbolicity results for the hyperbolic and quasihyperbolic metrics [PDF]
Complex Variables and Elliptic Equations, 2009 In this article, we investigate the Gromov hyperbolicity of Denjoy domains equipped with the hyperbolic or the quasihyperbolic metric. The focus are on comparative or decomposition results, which allow us to reduce the question of whether a given domain is Gromov hyperbolic to a series of questions concerning simpler domains.
Hästö, Peter +3 more
openaire +2 more sources
The hyperbolic dimension of metric spaces [PDF]
, 2007 We introduce a new quasi-isometry invariant of metric spaces called the hyperbolic dimension, hypdim, which is a version of the Gromov's asymptotic dimension, asdim.
Schroeder, Viktor +3 more
core +1 more source
A new look at the C 0-formulation of the strong cosmic censorship conjecture
New Journal of Physics, 2022 We examine the C ^0 -formulation of the strong cosmic censorship conjecture (SCC) from a quantum complexity-theoretic perspective and argue that for generic black hole parameters as initial conditions for the Einstein equations, corresponding to the ...
Aditya Iyer +2 more
doaj +1 more source
Hyperbolic geometry of gene expression
iScience, 2021 Summary: Patterns of gene expressions play a key role in determining cell state. Although correlations in gene expressions have been well documented, most of the current methods treat them as independent variables.
Yuansheng Zhou, Tatyana O. Sharpee
doaj +1 more source
Property A and CAT(0) cube complexes [PDF]
, 2009 Property A is a non-equivariant analogue of amenability defined for metric spaces. Euclidean spaces and trees are examples of spaces with Property A.
Wright, N.J. +4 more
core +1 more source
Hyperbolic fillings of bounded metric spaces [PDF]
, 2023 The aim of this thesis is to expand on parts of the work of Björn–Björn–Shanmugalingam [2] and in particular on the construction and properties of hyperbolic fillings of nonempty bounded metric spaces.
Fagrell, Ludvig
core +2 more sources
Generic convergence of infinite products of nonexpansive mappings with unbounded domains
Frontiers in Applied Mathematics and Statistics, 2015 We study the generic convergence of infinite productsof nonexpansive mappings with unbounded domains in hyperbolic metric spaces.
Simeon eReich, Alexander eZaslavski
doaj +1 more source
On residualizing homomorphisms preserving quasiconvexity [PDF]
, 2005 H is called a G-subgroup of a hyperbolic group G if for any finite subset M G there exists a homomorphism from G onto a non-elementary hyperbolic group G_1 that is surjective on H and injective on M. In his paper in 1993 A. Ol'shanskii gave a description
Minasyan, Ashot
core +1 more source
CoRRA ($λ,μ$)-bow metric was defined in (Dragan & Ducoffe, 2023) as a far reaching generalization of an $α_i$-metric (which is equivalent to a ($0,i$)-bow metric). A graph $G=(V,E)$ is said to satisfy ($λ,μ$)-bow metric if for every four vertices $u,v,w,x$ of $G$ the following holds: if two shortest paths $P(u,w)$ and $P(v,x)$ share a common shortest ...
Feodor F. Dragan +3 more
openaire +2 more sources
A product construction for hyperbolic metric spaces [PDF]
, 2005 For hyperbolic metric spaces X1, X2 we define and study a one parameter family of “hyperbolic products” Y∆, ∆ ≥ 0, of X1 and X2 . In particular, we investigate the relation between the boundaries at infinity of the factor spaces and the boundary at ...
Schroeder, Viktor, Foertsch, T
core +1 more source