3 papers
cond-mat.dis-nn1997
On the Replica Fourier Transform
D. M. Carlucci, C. De Dominicis
The Replica Fourier Transform introduced previously is related to the standard definition of Fourier transforms over a group. Its use is illustrated by block-diagonalizing the eige…
cond-mat.dis-nn1997
Replica Fourier Transforms on Ultrametric Trees, and Block-Diagonalizing Multi-Replica Matrices
C. De Dominicis, D. M. Carlucci, T. Temesvari
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…
cond-mat1996
Stability of the Mezard-Parisi solution for random manifolds
D. M. Carlucci, C. De Dominicis, T. Temesvari
The eigenvalues of the Hessian associated with random manifolds are constructed for the general case of steps of replica symmetry breaking. For the Parisi limit (c…