Skip to search formSkip to main contentSkip to account menu

Assouad dimension

In mathematics — specifically, in fractal geometry — the Assouad dimension is a definition of fractal dimension for subsets of a metric space. It was… 
Wikipedia (opens in a new tab)

Related topics

Related topics

2 relations
Fractal dimensionHausdorff dimension

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Properties of quasi-Assouad dimension
The connections between quasi-Assouad dimension and tangents are studied. We apply these results to the calculation of the quasi… 
2015
2015
Uniform dimension results for fractional Brownian motion
Kaufman's dimension doubling theorem states that for a planar Brownian motion $\{\mathbf{B}(t): t\in [0,1]\}$ we have $$\mathbb{P… 
2014
2014
Equi-homogeneity, Assouad Dimension and Non-autonomous Dynamics
A fractal, as originally described by Mandelbrot, is a set with an irregular and fragmented shape. Many fractals that have been… 
2013
2013
Assouad Dimension and the Open Set Condition
2010
2010
Embedding of global attractors and their dynamics
Suppose that is the global attractor associated with a dissipative dynamical system on a Hilbert space . If the set has finite… 
2009
2009
Escaping the Curse of Dimensionality with a Tree-based Regressor
We present the first tree-based regressor whose convergence rate depends only on the intrinsic dimension of the data, namely its… 
2006
2006
Nagata-Assouad dimension via Lipschitz extensions
In the first part of the paper we show how to relate several dimension theories (asymptotic dimension with Higson property… 
2006
2006
Nagata-Assouad dimension via Lipschitz extensions
. In the first part of the paper we show how to relate several dimension theories (asymptotic dimension with Higson property… 
2005
2005
CONFORMAL ASSOUAD DIMENSION AND MODULUS S . Keith and
Let α ≥ 1 and let (X, d, μ) be an α-homogeneous metric measure space with conformal Assouad dimension equal to α. Then there… 
2005
2005
A note on operators extending partial ultrametrics
We consider the question of simultaneous extension of partial ultrametrics, i.e. continuous ultrametrics defined on nonempty… 
By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy (opens in a new tab), Terms of Service (opens in a new tab), and Dataset License (opens in a new tab)