Titlebook: Number Theory and Physics; Proceedings of the W Jean-Marc Luck,Pierre Moussa,Michel Waldschmidt Conference proceedings 19901st edition Spri

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LARK

Yang-Baxter Algebras and Quantum Groups (YBA) associated with all these two-dimensional models. These YBA allow one to construct the exact solution (spectrum, S-matrix, form-factors,…) for this class of theories. Braid groups and quantum groups are derived as limiting cases of YBA when θ (spectral parameter) goes to ±∞.

骇人

A Topological Constraint on the Atomic Structure of Quasicrystals natural requirement on the geometry of the so-called “atomic surfaces” leads in a straightforward way to the study of their homology classes, and that the corresponding constraints on the density of quasicrystals are compatible with experimental results.

轮流

Induction

Spectral Properties of Schrödinger’s Operator with a Thue-Morse Potentialre computed explicitly. The integrated density of states on the gaps are given by 1/2 or by k/3.2. where k and N are integers and k is not divisible by 3. At small coupling constant V, the gap widths scale according to V. Eigenfunctions for energies on the gap boundaries diverge faster than any polynomial at infinity.

GOUGE

Affine Characters and Modular TransformationsWe describe the rational commutant of the modular action on .(.) affine characters.

啤酒

Representations of ,(2) for , a Root of UnityA review of .(2) representation theory for . a root of unity is given; physical applications to integrable systems or conformal theories are discussed.

Factual

Some Quasiperiodic Tilings as Modulated LatticesWe consider quasiperiodic structures obtained by the cut and project method and show that whenever the window satisfies a non-generic tiling property the associated structure can be transformed into a periodic lattice by bounded displacements. The case of the octagonal tiling is examined in detail.

FRAX-tool

The Topological Structure of Grain BoundariesIt is shown that grain boundaries are quasiperodic tilings made of inflatable sequences of structural units. A general grain boundary is a quasiperodic grid of dislocations with the same inflation multiplier (a quadratic irrational) in every direction.

glucagon