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Multifractal variation for projections of measures
Affiliation:1. Photonics group, Research Institute for Applied Physics and Astronomy, University of Tabriz, Tabriz, Iran;2. Department of Physics, Payame Noor University, P.O. Box: 19395-3697, Tehran, Iran;1. Institute of Mathematics of the Romanian Academy, 21 Calea Griviţei Street, 010702; P.O. Box 1-764, 014700, Bucharest, Romania;2. Department of mathematics, University of Illinois, 1409 West Green Street, Urbana, IL 61801, USA;1. Faculty of Agriculture, University of Novi Sad, Serbia;2. Faculty of Sciences, University of Novi Sad, Serbia
Abstract:The aim of this work is to provide a relationship between the relative multifractal spectra of orthogonal projections of a measure μ in Euclidean space and those of μ. As an application we study the relative multifractal analysis of the projections of a measure.
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