Unlike the (classical) Kolakoski sequence on the alphabet {1, 2}, its analogue on {1, 3} can be related to a primitive substitution rule. Using this connection, we prove that the corresponding bi-infinite fixed point is a regular generic model set and thus has a pure point diffraction spectrum. The Kolakoski-(3, 1) sequence is then obtained as a deformation, without losing the pure point diffra...

Purity of affine Springer fibers for GL4). — The affine Springer fiber corresponding to GL4 and regular semi-simple integral split element admits an affine paving, so its cohomology is “pure”.

Passivation of defects in halide perovskite using phosphine oxide or alkyl-phosphonate has recently obtained a few remarkable achievements. However, effective application alky-phosphonate passivating quantum dots (QDs) are seldom reported due to solubility issue difficulty amount control. In this work, two bifunctional organic molecules containing groups, 2,4,6-Tris[3-(diphenylphosphinyl)phenyl...

We show that the property of F-regularity does not deform, and thereby settle a longstanding open question in the theory of tight closure. Specifically, we construct a three dimensional N-graded domain R which is not F-regular (or even F-pure), but has a quotient R=tR which is F-regular. Examples are constructed over fields of characteristic p > 0, as well as over fields of characteristic zero.

Regular model sets, describing the point positions of ideal quasicrystallographic tilings, are mathematical models of quasicrystals. An important result in mathematical diffraction theory of regular model sets, which are defined on locally compact Abelian groups, is the pure pointedness of the diffraction spectrum. We derive an extension of this result, valid for dense point sets in Euclidean s...

The importance of erythropoietin as a regulator of erythropoiesis is undeniable, but that it is the sole regulator is controversial. Fried, Plzak, Jacobson, and Goldwasser (1) proposed a simple, unified concept for the regulation of red cell production. They suggested that the relationship of oxygen supply to demand governs the production of erythropoietin, which, in turn, through differentiati...

Microbial degradation of the chiral 2-phenylbutyric acid (2-PBA), a metabolite of surfactant linear alkylbenzene sulfonates (LAS), was investigated using both racemic and enantiomer-pure compounds together with quantitative stereoselective analyses. A pure culture of bacteria, identified as Xanthobacter flavus strain PA1 isolated from the mangrove sediment of Hong Kong Mai Po Nature Reserve, wa...

We investigate if every quasi-minimal group is abelian, and give a positive answer for a quasi-minimal pure group having a ∅-definable partial order with uncountable chains. We also relate two properties of a complete theory in a countable language: the existence of a quasi-minimal model and the existence of a strongly regular type. As a consequence we derive the equivalence of conjectures on c...

S1 The density of common SNPs in the Phase II HapMap and the assembled human genome S2 Analysis of data quality S2.1 Analysis of amplicon structure to genotyping error S2.2 Analysis of genotype discordance from overlap with Seattle SNPs S2.3 Analysis of genotype discordance from fosmid end sequences S2.4 Analysis of monomorphism/polymorphism discrepancies S2.5 Interchromosomal LD S3. Analysis o...