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991.
Recently the replica limit n = 0 of the U(n) and U(n)/SO(n) models have attracted interest since they describe the Anderson localization behaviour in the band-centre of a two-sublattice model. For n ≠ 0 the theories can be decomposed into one with symmetry U(1) and one for SU(n) and U(n)/SO(n). This does not no longer hold for n = 0. We show how the beta-functions and zeta-functions for operators without derivatives can be obtained in this limit from those of SU(n) and U(n)/SO(n) and draw consequences for these functions in this limit. 相似文献
992.
Summary. The goal of this paper is to characterise certain probability laws on a class of quantum groups or braided groups that we
will call nilpotent. First we introduce a braided analogue of the Heisenberg–Weyl group, which shall serve as standard example.
We introduce Gaussian functionals on quantum groups or braided groups as functionals that satisfy an analogue of the Bernstein
property, i.e. that the sum and difference of independent random variables are also independent. The corresponding functionals
on the braided line, braided plane and a braided q-Heisenberg–Weyl group are determined. Section 5 deals with continuous convolution
semigroups on nilpotent quantum groups and braided groups. We extend recent results proving the uniqueness of the embedding
of an infinitely divisible probability law into a continuous convolution semigroup for simply connected nilpotent Lie groups
to nilpotent quantum groups and braided groups. Finally, in Section 6 we give some indications how the semigroup approach
of Heyer and Hazod to the Bernstein theorem on groups can be extended to quantum groups and braided groups.
Received: 30 October 1996 / In revised form: 1 April 1997 相似文献
993.
Asthalter T. Bauer M. van Bürck U. Sergueev I. Franz H. Chumakov A. I. 《Hyperfine Interactions》2002,144(1-4):77-83
Hyperfine Interactions - We have applied nuclear inelastic absorption (NIA) to the molecular glass former dibutylphthalate/ferrocene, both in bulk and in nanoporous matrices having pore sizes of 50... 相似文献
994.
Franz Peherstorfer 《BIT Numerical Mathematics》1990,30(1):145-151
In this note it is shown that for weight functions of the formw(t)=(1 –t
2)1/2/s
m
(t), wheres
m
is a polynomial of degreem which is positive on [–1, +1], successive Kronrod extension of a certain class ofN-point interpolation quadrature formulas, including theN-point Gauss-formula, is always possible and that each Kronrod extension has the positivity and interlacing property. 相似文献
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