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28 papers · 1 filter
Hyperscaling in the Broken Symmetry Phase of Dyson's Hierarchical Model
J. J. Godina, Y. Meurice, M. B. Oktay
We use polynomial truncations of the Fourier transform of the local measure to calculate the connected q-point functions of Dyson's hierarchical model in the broken symmetry phase.…
A geometric approach to the cascade approximation operator for wavelets
Palle E. T. Jorgensen
This paper is devoted to an approximation problem for operators in Hilbert space, that appears when one tries to study geometrically the cascade algorithm in wavelet theory. Let $…
Compactly supported wavelets and representations of the Cuntz relations
Ola Bratteli, David E. Evans, Palle E. T. Jorgensen
We study the harmonic analysis of the quadrature mirror filters coming from multiresolution wavelet analysis of compactly supported wavelets. It is known that those of these wavele…
Orthogonal harmonic analysis and scaling of fractal measures
Palle E. T. Jorgensen, Steen Pedersen
We show that certain iteration systems lead to fractal measures admitting exact orthogonal harmonic analysis.
The local spectrum of a superconductor as a probe of interactions between magnetic impurities
Michael E. Flatte, David E. Reynolds
Qualitative differences in the spectrum of a superconductor near magnetic impurity pairs with moments aligned parallel and antiparallel are derived. A proposal is made for a new, n…
Spin diffusion in doped semiconductors
Michael E. Flatte, Jeff M. Byers
The behavior of spin diffusion in doped semiconductors is shown to be qualitatively different than in undoped (intrinsic) ones. Whereas a spin packet in an intrinsic semiconductor…