Results 11 to 20 of about 50 (47)
Assouad dimension of planar self-affine sets [PDF]
, 2020 We calculate the Assouad dimension of a planar self-affine set X satisfying the strong separation condition and the projection condition and show that X is minimal for the conformal Assouad dimension.
Rossi, Eino +2 more
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Tangent measures of typical measures
, 2015 We prove that for a typical Radon measure μ in ℝd, every non-zero Radon measure is a tangent measure of μ at μ almost every point. This was already shown by T. O'Neil in his Ph.D. thesis from 1994, but we provide a different self-contained proof for this
Sahlsten, Tuomas
core +3 more sources
Dimensions of equilibrium measures on a class of planar self-affine sets [PDF]
, 2018 We study equilibrium measures (K¨aenm¨aki measures) supported on self-affine sets generated by a finite collection of diagonal and anti-diagonal matrices acting on the plane and satisfying the strong separation property.
Fraser, Jonathan M +4 more
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International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 1, Page 97-106, 1995., 1993 We define the coordinate d‐dimension print to distinguish sets of same fractal dimension, and investigate its geometrical properties.
Hung Hwan Lee, In Soo Baek
wiley +1 more source
Weighted Variable Exponent Sobolev spaces on metric measure spaces
Moroccan Journal of Pure and Applied Analysis, 2018 In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
doaj +1 more source
A construction of fractals via best proximity theory for enriched non-self nonexpansive mappings
Demonstratio MathematicaThe main purpose of this paper is to present a construction of fractals via best proximity theory for b-enriched non-self nonexpansive mappings inspired by the remarkable relationship between the best proximity theory and fractal theory.
Zhou Mi +3 more
doaj +1 more source
Infant Mental Health Journal: Infancy and Early Childhood, Volume 46, Issue 1, Page 95-111, January 2025.Abstract We compared referrals and connection to care between perinatal patients: 90 receiving OB/GYN care in clinics with integrated behavioral health consultants with infant mental health specialization (IMH‐BHC), and 68 receiving traditional care, in the United States.
Jennifer M. Jester +8 more
wiley +1 more source
Riesz Potentials and Liouville Operators on Fractals
, 2007 An analogue to the theory of Riesz potentials and Liouville operators in R for arbitrary fractal d-sets is developed. Corresponding function spaces agree with traces of euclidean Besov spaces on fractals.
M. Zähle
core
The Equivalence Of Some Bernoulli Convolutions To Lebesgue Measure
, 1997 . Since the 1930's many authors have studied the distribution of the random series Y = P \Sigma n where the signs are are chosen independently with probability (1=2; 1=2) and 0 ! ! 1. Solomyak (1995) proved that for almost every 2 [ 1 2 ;
R. Daniel Mauldin, Károly Simon
core
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
core