منابع مشابه
The Q-onsager Algebra
where β = q+q and δ = −(q − q) 2 . (TD) can be regarded as a q-analogue of the DolanGrady relations and we call A the q-Onsager algebra. We classify the finite-dimensional irreducible representations of A. All such representations are explicitly constructed via embeddings of A into the Uq(sl2)-loop algebra. As an application, tridiagonal pairs of qRacah type over C are classified in the case wh...
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set up to see who can catch the most. The Environment Education Foundation hosted its third ‘lionfish derby’ last month off Florida, outside the reserve, with more than $3,000 in prize money for the team catching the most fish — 109 were killed. In the waters around the Bahamas, which don’t have the same protection as Florida Keys, more than 2,000 lionfish have been killed over the past two yea...
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Onsager crosses are hard nonconvex bodies formed by rigidly connecting three elongated rods, equally thick but not necessarily equally long, to form perpendicular crosses. We study the phase behavior of systems of such particles, focusing on their ability to form spatially homogeneous orientationally ordered phases with a symmetry lower than that of the standard uniaxial nematic. We treat these...
متن کاملLectures on the Onsager Conjecture
These lectures give an account of recent results pertaining to the celebrated Onsager conjecture. The conjecture states that the minimal space regularity needed for a weak solution of the Euler equation to conserve energy is 1/3. Our presentation is based on the Littlewood-Paley method. We start with quasi-local estimates on the energy flux, introduce Onsager criticality, find a positive soluti...
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This development provides a formalization of directed graphs, supporting (labelled) multi-edges and infinite graphs. A polymorphic edge type allows edges to be treated as pairs of vertices, if multi-edges are not required. Formalized properties are i.a. walks (and related concepts), connectedness and subgraphs and basic properties of isomorphisms. This formalization is used to prove characteriz...
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ژورنال
عنوان ژورنال: Nature
سال: 1976
ISSN: 0028-0836,1476-4687
DOI: 10.1038/264819a0