System Upgrade on Tue, May 28th, 2024 at 2am (EDT)
Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.
Results: 1 - 1of1
Save this search
Please login to be able to save your searches and receive alerts for new content matching your search criteria.
On the effect of projections on the Billingsley dimensions
Preview AbstractWe are interested in the behavior of Billingsley dimensions under projections onto a lower dimensional linear subspace. The results in this paper establish the connections with various dimensions of subsets E of ℝn and their projections, and generalize many known results about Hausdorff and packing dimensions of projections of E. In particular, we improve, through these results, one of the main theorems of Selmi et al. in [Multifractal variation for projections of measures, Chaos Solitons Fractals 91 (2016) 414–420] and treat an unsolved case in their work.