ON THE SPECTRA OF RANDOMLY PERTURBED EXPANDING MAPS

被引：87

作者：

BALADI, V

YOUNG, LS

机构：

[1] UNIV CALIF LOS ANGELES, DEPT MATH, LOS ANGELES, CA 90024 USA

[2] UNIV ARIZONA, DEPT MATH, TUCSON, AZ 85721 USA

[3] IBM CORP, THOMAS J WATSON RES CTR, YORKTOWN HTS, NY 10598 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1993年 / 156卷 / 02期

关键词：

D O I：

10.1007/BF02098487

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider small random perturbations of expanding and piecewise expanding maps and prove the robustness of their invariant densities and rates of mixing. We do this by proving the robustness of the spectra of their Perron-Frobenius operators.

引用

页码：355 / 385

页数：31

共 25 条

[1]

[Anonymous], STUD ANAL ADV MATH S

[2] ZETA-FUNCTIONS AND TRANSFER OPERATORS FOR PIECEWISE MONOTONE TRANSFORMATIONS [J].

BALADI, V ;

KELLER, G .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 127 (03) :459-477

[3] ABSOLUTELY CONTINUOUS INVARIANT-MEASURES AND RANDOM PERTURBATIONS FOR CERTAIN ONE-DIMENSIONAL MAPS [J].

BENEDICKS, M ;

YOUNG, LS .

ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1992, 12 :13-37

[4]

BLANK ML, 1992, MATH PHYSICS, V10, P341

[5] ON THE ESSENTIAL SPECTRUM OF THE TRANSFER OPERATOR FOR EXPANDING MARKOV MAPS [J].

COLLET, P ;

ISOLA, S .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 139 (03) :551-557

[6]

COLLET P, 1984, ERGODIC PROPERTIES M

[7] PSEUDO-ORBIT SHADOWING IN THE FAMILY OF TENT MAPS [J].

COVEN, EM ;

KAN, I ;

YORKE, JA .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 308 (01) :227-241

[8] ERGODIC PROPERTIES OF INVARIANT-MEASURES FOR PIECEWISE MONOTONIC TRANSFORMATIONS [J].

HOFBAUER, F ;

KELLER, G .

MATHEMATISCHE ZEITSCHRIFT, 1982, 180 (01) :119-140

[9] ON THE RATE OF CONVERGENCE TO EQUILIBRIUM IN ONE-DIMENSIONAL SYSTEMS [J].

KELLER, G .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1984, 96 (02) :181-193

[10] STOCHASTIC STABILITY IN SOME CHAOTIC DYNAMICAL-SYSTEMS [J].

KELLER, G .

MONATSHEFTE FUR MATHEMATIK, 1982, 94 (04) :313-333

← 1 2 3 →