Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1997-03-13
J. Phys. I France 7 (1997) 105-115
Physics
Condensed Matter
Disordered Systems and Neural Networks
Latex file, 14 pages
Scientific paper
10.1051/jp1:1997128
The analysis of objects living on ultrametric trees, in particular the block-diagonalization of 4-replica matrices $M^{\alpha \beta ; \gamma \delta}$, 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.
Carlucci Domenico M.
Dominicis Cirano de
Temesvari Tamas
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