Results 51 to 60 of about 2,719 (189)
Risk Analysis, EarlyView.ABSTRACT In absence of sufficient data, structured expert judgment is a suitable method to estimate uncertain quantities. While such methods are well established for individual variables, eliciting their dependence in a structured manner is a less explored field of research.
Guus Rongen +3 more
wiley +1 more source
Local dimensions in Moran constructions
, 2015 We study the dimensional properties of Moran sets and Moran measures in doubling metric spaces. In particular, we consider local dimensions and $L^q$-dimensions.
Käenmäki, Antti +2 more
core +1 more source
Splitting the difference: Computations of the Reynolds operator in classical invariant theory
Bulletin of the London Mathematical Society, EarlyView.Abstract If G$G$ is a linearly reductive group acting rationally on a polynomial ring S$S$, then the inclusion SG↪S$S^{G} \hookrightarrow S$ possesses a unique G$G$‐equivariant splitting, called the Reynolds operator. We describe algorithms for computing the Reynolds operator for the classical actions as in Weyl's book.
Aryaman Maithani
wiley +1 more source
An algorithm for computing the centered Hausdorff measure of self-similar sets
, 2011 We provide an algorithm for computing the centered Hausdorff measure of self-similar sets satisfying the strong separation condition.
Ayer +22 more
core +1 more source
Conditions for equality of Hausdorff and packing measures on ℝ <sup>n</sup> [PDF]
Real Analysis Exchange, 1996 This note answers the question, for which Hausdorff functions \(h\) may the \(h\)-Hausdorff and \(h\)-packing measures agree on some subset \(A\) of \(\mathbb{R}^n\), and be positive and finite. We show that these conditions imply that \(h\) is a regular density function, in the sense of Preiss, and that for each such function there is a subset of ...
openaire +2 more sources
On the Fourier transform of measures in Besov spaces
Bulletin of the London Mathematical Society, EarlyView.Abstract We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of the negative exponent: ∥Iαμ̂∥Lp,∞⩽C∥μ∥Mb12supt>0td−β2∥pt*μ∥∞12,$$\begin{align*} \Vert \widehat{I_{\alpha }\mu }\Vert _{L^{p, \infty }} \leqslant C \Vert \mu \Vert _{M_b}^{\frac{1}{2}}{\left(\sup _{t ...
Riju Basak +2 more
wiley +1 more source
Measures and the Law of the Iterated Logarithm
, 2009 Let m be a unidimensional measure with dimension d. A natural question is to ask if the measure m is comparable with the Hausdorff measure (or the packing measure) in dimension d.
Bhouri, Imen, Heurteaux, Yanick
core +1 more source
A full classification of the isometries of the class of ball‐bodies
Bulletin of the London Mathematical Society, EarlyView.Abstract Complementing our previous results, we give a classification of all isometries (not necessarily surjective) of the metric space consisting of ball‐bodies, endowed with the Hausdorff metric. ‘Ball‐bodies’ are convex bodies which are intersections of translates of the Euclidean unit ball.
Shiri Artstein‐Avidan +2 more
wiley +1 more source
Comparing the Hausdorff and packing measures of sets of small dimension in metric spaces [PDF]
Monatshefte für Mathematik, 2010 We give a new estimate for the ratio of s-dimensional Hausdorff measure \({\mathcal{H}^s}\) and (radius-based) packing measure \({\mathcal{P}^s}\) of a set in any metric space. This estimate is $$ \inf_{E}\frac{\mathcal{P}^s(E)}{\mathcal{H}^s(E)}\ge 1+\left(2-\frac{3}{2^{1/s}}\right)^s, $$ where 0 < s < 1/2 and the infimum is taken over all ...
openaire +3 more sources
A categorical interpretation of continuous orbit equivalence for partial dynamical systems
Bulletin of the London Mathematical Society, EarlyView.Abstract We define the orbit morphism of partial dynamical systems and prove that an orbit morphism being an isomorphism in the category of partial dynamical systems and orbit morphisms is equivalent to the existence of a continuous orbit equivalence between the given partial dynamical systems that preserves the essential stabilisers. We show that this
Gilles G. de Castro, Eun Ji Kang
wiley +1 more source