Results 31 to 40 of about 164 (56)

Proper isometric actions of hyperbolic groups on $L^p$-spaces

, 2013
We show that every non-elementary hyperbolic group $\G$ admits a proper affine isometric action on $L^p(\bd\G\times \bd\G)$, where $\bd\G$ denotes the boundary of $\G$ and $p$ is large enough.
Nica, Bogdan
core   +1 more source

Hair fragility (trichorrhexis nodosa) in alopecic Pomeranian dogs

Veterinary Dermatology, Volume 36, Issue 1, Page 64-73, February 2025.
Background – Alopecia associated with hair cycle arrest (HCA, Alopecia X) is well‐recognised in Pomeranian dogs. The authors are unaware of reports of hair fragility in affected dogs. Hypothesis/Objectives – Following the observation of frequent hair shaft abnormalities in alopecic Pomeranians, we hypothesised that hair fragility events would be more ...
Erin Brennan, Jonna Juhola, Ewan A. Ferguson, Anette Loeffler, Rosario Cerundolo, Anke Hendricks, Ross Bond   +6 more
wiley   +1 more source

Quasiconformal curves and quasiconformal maps in metric spaces

Analysis and Geometry in Metric Spaces
In this article, we study quasiconformal curves which are a special case of quasiregular curves. Namely embeddings Ω→Rm\Omega \to {{\mathbb{R}}}^{m} from some domain Ω⊂Rn\Omega \subset {{\mathbb{R}}}^{n} to Rm{{\mathbb{R}}}^{m}, where n≤mn\le m, belong ...
Hitruhin Lauri, Tsantaris Athanasios
doaj   +1 more source

Sublinear quasiconformality and the large-scale geometry of Heintze groups [PDF]

, 2020
This article analyzes sublinearly quasisymmetric homeo-morphisms (generalized quasisymmetric mappings), and draws applications to the sublinear large-scale geometry of negatively curved groups and spaces.
Pallier, Gabriel
core   +2 more sources

Doubling measures on uniform Cantor sets

, 2014
We obtain a complete description for a probability measure to be doubling on an arbitrarily given uniform Cantor set. The question of which doubling measures on such a Cantor set can be extended to a doubling measure on [0; 1] is also ...
Wei, Chun, Wen, Shengyou, Wen, Zhixiong
core   +1 more source

On $(\alpha_n)$-regular sets

, 2014
We define $(\alpha_n)$ -regular sets in uniformly perfect metric spaces. This definition is quasisymmetrically invariant and the construction resembles generalized dyadic cubes in metric spaces.
Ojala, Tuomo
core   +1 more source

Bounded compositions on scaling invariant Besov spaces [PDF]

, 2015
For $0 < s < 1 < q < \infty$, we characterize the homeomorphisms $\varphi : \real^n \to \real^n$ for which the composition operator $f \mapsto f \circ \varphi$ is bounded on the homogeneous, scaling invariant Besov space $\dot{B}^s_{n/s,q}(\real^n ...
Koch, Herbert, Koskela, Pekka, Saksman, Eero, Soto, Tomás   +3 more
core  

Quasicircles and Bounded Turning Circles Modulo bi-Lipschitz Maps [PDF]

, 2010
We construct a catalog, of snowflake type metric circles, that describes all metric quasicircles up to \bl\ equivalence. This is a metric space analog of a result due to Rohde.
Herron, David A, Meyer, Daniel
core   +1 more source

Geometric and analytic quasiconformality in metric measure spaces

, 2011
We prove the equivalence between geometric and analytic definitions of quasiconformality for a homeomorphism $f\colon X\rightarrow Y$ between arbitrary locally finite separable metric measure spaces, assuming no metric hypotheses on either space. When $X$
Williams, Marshall
core  

Reconstruction of target speed for the guidance of pursuit eye movements. [PDF]

J Neurosci, 2001
Priebe NJ, Churchland MM, Lisberger SG.
europepmc   +1 more source