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Badly approximable points on self-affine sponges and the lower Assouad dimension
This article highlights a connection between Diophantine approximation and the lower Assouad dimension by using information about the latter to show that the Hausdorff dimension of the set of badly approximable points that lie in certain non-conformal fractals, known as self-affine sponges, is bounded below by the dynamical dimension of these fractals. The results, which are the first to advance beyond the conformal setting, encompass both the case of Sierpiński sponges/carpets (also known as Bedford–McMullen sponges/carpets) and the case of Barański carpets.
Date:
June 20, 2017
Creator:
Das, Tushar; Fishman, Lior; Simmons, David & Urbański, Mariusz
System:
The UNT Digital Library
Solubility and Apparent Specific Volume of Sucrose in Some Aqueous Polyethylene Glycol Mixtures at 298.2 K
This article determines and correlates the equilibrium solubility of sucrose in {PEG 200 (or 400) + water} mixtures at 298.2 K.
Date:
June 20, 2018
Creator:
Tinjacá, Darío; Muñoz, María M.; Rahimpour, Elaheh; Jouyban, Abolghasem; Martínez, Fleming & Acree, William E. (William Eugene)
System:
The UNT Digital Library