Results 21 to 30 of about 159 (44)

Natural maps between CAT(0) boundaries [PDF]

, 2013
It is shown that certain natural maps between the ideal, Gromov, and end boundaries of a complete CAT(0) space can fail to be either injective or surjective.
Buckley, Stephen M., Falk, Kurt
core   +2 more sources

The structures of Hausdorff metric in non-Archimedean spaces

, 2014
For non-Archimedean spaces $ X $ and $ Y, $ let $ \mathcal{M}_{\flat } (X), \mathfrak{M}(V \rightarrow W) $ and $ \mathfrak{D}_{\flat }(X, Y) $ be the ballean of $ X $ (the family of the balls in $ X $), the space of mappings from $ X $ to $ Y, $ and the
A Monna, A Monna, A Yu Khrennikov, C Perez-Garcia, D Burago, D R Qiu, Derong Qiu, J Frensel, J R Munkres, J-P Serre, L C Washington, M Gromov, N Koblitz, R M Dudley, S Bosch, S Lang, S Rachev, W H Schikhof, W H Schikhof   +18 more
core   +1 more source

Fixed point property for a CAT(0) space which admits a proper cocompact group action [PDF]

, 2015
We prove that if a geodesically complete $\mathrm{CAT}(0)$ space $X$ admits a proper cocompact isometric action of a group, then the Izeki-Nayatani invariant of $X$ is less than $1$. Let $G$ be a finite connected graph, $\mu_1 (G)$ be the linear spectral
Toyoda, Tetsu
core  

Improper poisson line process as sirsn in any dimension

, 2016
Aldous has introduced a notion of scale-invariant random spatial network (SIRSN) as a mathematical formalization of road networks. Intuitively, those are random processes that assign a route between each pair of points in Euclidean space, while being ...
Kahn, Jonas
core   +2 more sources

Transitive bi-Lipschitz group actions and bi-Lipschitz parameterizations

, 2012
We prove that Ahlfors 2-regular quasisymmetric images of the Euclidean plane are bi-Lipschitz images of the plane if and only if they are uniformly bi-Lipschitz homogeneous with respect to a group.
Freeman, David M.
core  

Gluing constructions for Lorentzian length spaces. [PDF]

Manuscr Math
Beran T, Rott F.
europepmc   +1 more source

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Cross‐ratios on CAT(0) cube complexes and marked length‐spectrum rigidity

Journal of the London Mathematical Society, 2021
Elia Fioravanti
exaly  

The Sprawl Conjecture for Convex Bodies

Experimental Mathematics, 2013
Moon Duchin, Samuel Lelievre, Christopher Mooney   +2 more
exaly  

Finite‐dimensional approximation properties for uniform Roe algebras

Journal of the London Mathematical Society, 2020
Hiroki Sako
exaly  

A Visual Model of the Lorentz Triangular Moduli Space

American Mathematical Monthly, 2018
Daniel de la Fuente, Juan F Ruiz-Hidalgo   +1 more
exaly