Results 21 to 30 of about 97 (62)
Fubini-Type Theorems for General Measure Constructions
, 2007 . We use methods from descriptive set theory to derive Fubini-like results for the very general Method I and Method II (outer) measure constructions. Such constructions, which often lead to non-oe-finite measures, include Carath'eodory and Hausdorff-
R. Daniel Mauldin, K. J. Falconer
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Minimal Riesz energy point configurations for rectifiable d-dimensional manifolds
, 2005 We investigate the energy of arrangements of N points on a rectifiable d-dimensional manifold A ⊂ Rd ′ that interact through the power law (Riesz) potential V = 1/rs, where s> 0 and r is Euclidean distance in Rd ′.
D. P. Hardin, E. B. Saff
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, 1998 . We consider a regular infinite hyperbolic iterated function satisfying a property which guarantees that the associated Frobenius-Perron operator L is almost periodic. For such a system there is a unique invariant probablility measure ¯ supported on J ,
Daniel Mauldin
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Online at stacks.iop.org/Non/17/1455 DOI: 10.1088/0951-7715/17/4/017
, 2004 We consider the iterated function systems (IFSs) that consist of three general similitudes in the plane with centres at three non-collinear points, with a common contraction factor λ ∈ (0, 1). As is well known, for λ = 1 2 the attractor, Sλ, is a fractal
Recommended M Field +3 more
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Spectra of Self-Similar Measures. [PDF]
Entropy (Basel), 2022 Cao YS, Deng QR, Li MT.
europepmc +1 more source
Investigation of cytokines, oxidative stress, metabolic, and inflammatory biomarkers after orange juice consumption by normal and overweight subjects. [PDF]
Food Nutr Res, 2015 Dourado GK, Cesar TB.
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Dimension of slices of Sierpiński-like carpets
, 2014 B. Bárány, M. Rams
semanticscholar +1 more source
Large dimensional sets not containing a given angle
Open Mathematics, 2011 Harangi Viktor
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Some Relations Between Packing Premeasure and Packing Measure
, 1999 De-Jun Feng, S. Hua, Z. Wen
semanticscholar +1 more source
Hausdorff Dimensions of Self‐Similar and Self‐Affine Fractals in the Heisenberg Group
, 2005 Z. Balogh, J. Tyson
semanticscholar +1 more source