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Inhomogeneous potentials, Hausdorff dimension and shrinking targets

Generalising a construction of Falconer, we consider classes of 𝐺𝛿-subsets of ℝ𝑑 with the property that sets belonging to the class have large Hausdorff dimension and the class is closed under countable intersections. We relate these classes to some inhomogeneous potentials and energies, thereby providing some useful tools to determine if a set belongs to one of the classes

Development of asymmetrical flow field-flow fractionation-multi angle laser light scattering analysis for molecular mass characterization of cationic potato amylopectin

The goal of this study is to investigate the applicability of asymmetrical flow field-flow fractionation (AsFlFFF)–multi angle laser light scattering (MALLS), and to develop a method for analysis of cationic potato amylopectin (CPAP) having ultrahigh molecular mass (UHMr). Use of the aqueous carrier having low salt content (3 mM NaN3) resulted in a distortion in AsFlFFF fractograms of CPAP with a