Results 31 to 39 of about 144 (39)

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

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

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

Rigidity of Local Quasisymmetric Maps on Fibered Spaces

Analysis and Geometry in Metric Spaces, 2018
Medwid Mark, Xie Xiangdong
doaj   +1 more source