Replica Fourier Transforms on Ultrametric Trees, and Block-Diagonalizing Multi-Replica Matrices
Disordered Systems and Neural Networks
2016-08-31 v1
Abstract
The analysis of objects living on ultrametric trees, in particular the block-diagonalization of 4-replica matrices , is shown to be dramatically simplified through the introduction of properly chosen operations on those objects. These are the Replica Fourier Transforms on ultrametric trees. Those transformations are defined and used in the present work.
Keywords
Cite
@article{arxiv.cond-mat/9703132,
title = {Replica Fourier Transforms on Ultrametric Trees, and Block-Diagonalizing Multi-Replica Matrices},
author = {C. De Dominicis and D. M. Carlucci and T. Temesvari},
journal= {arXiv preprint arXiv:cond-mat/9703132},
year = {2016}
}
Comments
Latex file, 14 pages