We study random walks on the three-strand braid group B3, and in particular compute the drift, or average topological complexity of a random braid, as well as the probability of trivial entanglement. These results involve the study of magnetic random walks on hyperbolic graphs (hyperbolic Harper-Hofstadter problem), what enables to build a faithful representation of B3 as generalized magnetic t...

We consider a mixture of two single-spin-state fermions with an interaction of negligible range and infinite s-wave scattering length. By varying the mass ratio α across αc ≃ 13.6069 one can switch on-and-off the Efimov effect. We determine analytically the third cluster coefficient of the gas. We show that it is a smooth function of α across αc since, unexpectedly, the three-body parameter cha...

Background: The HPA-1 alloimmune system carried by the platelet integrin aIIbb3 is the primary cause of alloimmune thrombocytopenia in Caucasians and the HPA-1b allele might be a risk factor for thrombosis. HPA-1a and -1b alleles are defined by a leucine and a proline, respectively, at position 33 in the b3 subunit. Although the structure of aIIbb3 is available, little is known about structural...

In this section we shall assume that all algebras are finite dimensional algebras over an algebraically closed field F. The fact that F is algebraically closed is only for convenience, to avoid the division rings that could arise in the decomposition of Ā just before (4.8) below. Let A ⊆ B be an inclusion of algebras. Then B⊗F B is an (A,A)-bimodule where A acts on the left by left multiplicati...

Thymic epithelial tumor is a distinctive pathologic entity exhibiting variable histologic features and heterogeneous oncologic behavior. Among the various classification systems, that of the World Health Organization has been adopted because of good correlation between histologic appearance and oncologic behavior. Radiologically, a smooth contour and round shape are most suggestive of a type-A ...

The molecular cloning of double-stranded cDNA synthesized from the single-stranded RNA genome of the cardiotropic Coxsackie B3 virus (Nancy strain) is reported. Full-length reverse-transcribed cloned viral cDNA of approximately equal to 7500 nucleotides generated infectious antigenically identical Coxsackie B3 virus upon transfection of recombinant plasmid DNA into mammalian cells, demonstratin...