LARGE DEVIATIONS FOR MULTIPLICATIVE CHAOS

被引：52

作者：

COLLET, P

KOUKIOU, F

机构：

[1] Centre de Physique Théorique, Ecole Polytechnique, Palaiseau Cedex

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1992年 / 147卷 / 02期

关键词：

D O I：

10.1007/BF02096590

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The local singularities for a class of random measures, obtained by random iterated multiplications, are investigated using the thermodynamic formalism. This analysis can be interpreted as a rigorous study of the phase transition of a system with random interactions.

引用

页码：329 / 342

页数：14

共 17 条

[1] SOME RIGOROUS RESULTS ON THE SHERRINGTON-KIRKPATRICK SPIN-GLASS MODEL [J].

AIZENMAN, M ;

LEBOWITZ, JL ;

RUELLE, D .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 112 (01) :3-20

[2] THE DIMENSION SPECTRUM OF SOME DYNAMIC-SYSTEMS [J].

COLLET, P ;

LEBOWITZ, JL ;

PORZIO, A .

JOURNAL OF STATISTICAL PHYSICS, 1987, 47 (5-6) :609-644

[3]

Dellacherie C., 1980, PROBABILITES POTENTI

[4] FIXED-POINTS OF THE SMOOTHING TRANSFORMATION [J].

DURRETT, R ;

LIGGETT, TM .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1983, 64 (03) :275-301

[5] LARGE DEVIATIONS FOR A GENERAL-CLASS OF RANDOM VECTORS [J].

ELLIS, RS .

ANNALS OF PROBABILITY, 1984, 12 (01) :1-12

[6]

Frostman O, 1935, POTENTIEL EQUILIBRE

[7]

GUIVARCH Y, 1990, ANN I H POINCARE-PR, V26, P261

[8] GENERALIZED POTLATCH AND SMOOTHING PROCESSES [J].

HOLLEY, R ;

LIGGETT, TM .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1981, 55 (02) :165-195

[9] CERTAIN MARTINGALES OF MANDELBROT,B [J].

KAHANE, JP ;

PEYRIERE, J .

ADVANCES IN MATHEMATICS, 1976, 22 (02) :131-145

[10]

KAHANE JP, 1987, ANN I H POINCARE-PR, V23, P289

← 1 2 →