Replica Fourier Transforms on ultrametric trees, and block-diagonalizing multi-replica matrices

被引：32

作者：

DeDominicis, C

Carlucci, DM

Temesvari, T

机构：

[1] SCUOLA NORMALE SUPER PISA, I-56126 PISA, ITALY

[2] EOTVOS LORAND UNIV, INST THEORET PHYS, H-1088 BUDAPEST, HUNGARY

来源：

JOURNAL DE PHYSIQUE I | 1997年 / 7卷 / 01期

关键词：

D O I：

10.1051/jp1:1997128

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：105 / 115

页数：11

共 18 条

[1]

[Anonymous], 1987, WORLD SCI LECT NOTES

[2] Stability of the Mezard-Parisi solution for random manifolds [J].

Carlucci, DM ;

deDominicis, C ;

Temesvari, T .

JOURNAL DE PHYSIQUE I, 1996, 6 (08) :1031-1041

[3] STABILITY OF SHERRINGTON-KIRKPATRICK SOLUTION OF A SPIN GLASS MODEL [J].

DEALMEIDA, JRL ;

THOULESS, DJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1978, 11 (05) :983-990

[4] EIGENVALUES OF THE STABILITY MATRIX FOR PARISI SOLUTION OF THE LONG-RANGE SPIN-GLASS [J].

DEDOMINICIS, C ;

KONDOR, I .

PHYSICAL REVIEW B, 1983, 27 (01) :606-608

[5]

DEDOMINICIS C, 1994, J PHYS I, V4, P1287, DOI 10.1051/jp1:1994189

[6]

DEOMINICIS C, 1984, J PHYS LETT FRANCE, V45, P6205

[7] STABILITY OF PARISI SOLUTION OF A SPIN-GLASS MODEL [J].

GOLTSEV, AV .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (06) :1337-1343

[8] THE ORIGIN OF THE ULTRAMETRIC TOPOLOGY OF SPIN-GLASSES [J].

GROSSMAN, B .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (01) :L33-L39

[9] KINETIC ROUGHENING PHENOMENA, STOCHASTIC GROWTH DIRECTED POLYMERS AND ALL THAT - ASPECTS OF MULTIDISCIPLINARY STATISTICAL-MECHANICS [J].

HALPINHEALY, T ;

ZHANG, YC .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1995, 254 (4-6) :215-415

[10] ULTRAMETRICITY AND ZERO MODES IN THE SHORT-RANGE ISING SPIN-GLASS [J].

KONDOR, I ;

DEDOMINICIS, C .

EUROPHYSICS LETTERS, 1986, 2 (08) :617-624

← 1 2 →