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

迷住

拱形大橋

onlooker

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.

領(lǐng)袖氣質(zhì)

From Approximants to Quasicrystals: A Non-standard Approachin the ‘true’ quasicrystal. We study the transition from an infinite series of approximants to the asymptotic quasicrystal. This is done in the framework of non-standard analysis which provides simple tools for the manipulation of the infinitely large and small quantities in the problem.

deceive

MAG

Spectral Properties of Schr?dinger’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 poly

Palatial

On the Non-commutative Torus of Real Dimension Twoalgebra of the irrational rotation C*-algebra introduced in the lectures of Jean Bellissard. This sub-algebra may be viewed as a non-commutative generalisation of the classical torus of real dimension two. We compute the variation of the value at the origin of the meromorphic continuation of the zet

時間等

Z/NZ Conformal Field Theoriesure by computing the modular properties of the possible genus-one characters when the fusion algebra is the representation algebra of a finite group. We also classify the modular invariant partition functions of these theories. We recover as special cases the .. WZW theories and the rational gaussian model.

Migratory

Modular Invariance of Field Theories and String Compactificationsnal Abelian lattice gauge theories possess a .(2., .) modular symmetry, and string compactifications on .-dimensional tori are invariant under .(16 + ., .; .). We review these results and their applications, and discuss the classification of self-dual string compactifications.

時代

0930-8989 athematics. It also has the false repu- tation of being without any application to other areas of knowledge. Nevertheless, throughout their history, physical and natural sciences have experienced numerous unexpected relationships to number theory. The book entitled Number Theory in Science and Commu