Ergodic Solenoidal Homology: Realization Theorem

被引：3

作者：

Munoz, Vicente ^{[1
]}

Perez-Marco, Ricardo ^{[2
]}

机构：

[1] Univ Complutense Madrid, Fac Matemat, E-28040 Madrid, Spain

[2] Univ Paris 13, LAGA UMR 7539, CNRS, F-93430 Villetaneuse, France

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2011年 / 302卷 / 03期

关键词：

CYCLES;

D O I：

10.1007/s00220-010-1183-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We define generalized currents associated with immersions of abstract oriented solenoids with a transversal measure. We realize geometrically the full real homology of a compact manifold with these generalized currents, and more precisely with immersions of minimal uniquely ergodic solenoids. This makes precise and geometric De Rham's realization of the real homology by only using a restricted geometric subclass of currents.

引用

页码：737 / 753

页数：17

共 50 条

[21] Ergodic theorem, ergodic theory, and statistical mechanics
Moore, Calvin C.
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2015, 112 (07) : 1907 - 1911
[22] On the multiplicative ergodic theorem for uniquely ergodic systems
Furman, A
[J]. ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 1997, 33 (06): : 797 - 815
[23] AN ERGODIC THEOREM FOR SEMIGROUPS
AKCOGLU, MA
CUNSOLO, J
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 24 (01) : 161 - &
[24] A martingale ergodic theorem
I. V. Podvigin
[J]. Siberian Mathematical Journal, 2010, 51 : 1125 - 1130
[25] LOCAL ERGODIC THEOREM
SATO, R
[J]. STUDIA MATHEMATICA, 1976, 58 (01) : 1 - 5
[26] A marginal ergodic theorem
Lavine, M
[J]. BAYESIAN STATISTICS 7, 2003, : 577 - 585
[27] A UNIFORM ERGODIC THEOREM
BURKE, G
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1965, 36 (06): : 1853 - 1858
[28] On the mean ergodic theorem
Cohen, LW
[J]. ANNALS OF MATHEMATICS, 1940, 41 : 505 - 509
[29] A CONSTRUCTIVE ERGODIC THEOREM
BISHOP, E
[J]. JOURNAL OF MATHEMATICS AND MECHANICS, 1968, 17 (07): : 631 - &
[30] A MEAN ERGODIC THEOREM
SINE, R
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 24 (03) : 438 - &

← 1 2 3 4 5 →