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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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Spectra of Some Almost Periodic OperatorsTwo examples of almost periodic Jacobi matrices, representing respectively the so-called Fibonacci and a Hierarchical Hamiltonian, are discussed. Each of them has a purely singular continuous spectrum supported by a Cantor set.
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Number Theory and Physics978-3-642-75405-0Series ISSN 0930-8989 Series E-ISSN 1867-4941
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Z/NZ Conformal Field Theories of a CFT from its fusion rules. The possible choices of . matrices are indexed by some automorphisms of the fusion algebra. We illustrate this procedure by computing the modular properties of the possible genus-one characters when the fusion algebra is the representation algebra of a finite group.
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Conformal Field Theory on a Riemann Surfaceheory. Recent research has revealed that there are deep connections between conformal field theory and number theory, which may have profound implications to string theory. The equivalence of bosons and fermions in two dimensions is such an example; there an addition theorem of theta-function plays
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