منابع مشابه
Cocycle Superrigidity for Ergodic Actions of Non-semisimple Lie Groups
Suppose L is a semisimple Levi subgroup of a connected Lie group G, X is a Borel G-space with finite invariant measure, and α : X × G → GLn(R) is a Borel cocycle. Assume L has finite center, and that the real rank of every simple factor of L is at least two. We show that if L is ergodic on X, and the restriction of α to X × L is cohomologous to a homomorphism (modulo a compact group), then, aft...
متن کاملComputability of the ergodic decomposition
The study of ergodic theorems from the viewpoint of computable analysis is a rich field of investigation. Interactions between algorithmic randomness, computability theory and ergodic theory have recently been examined by several authors. It has been observed that ergodic measures have better computability properties than non-ergodic ones. In a previous paper we studied the extent to which non-...
متن کاملRandomness and the Ergodic Decomposition
We briefly present ongoing work about Martin-Löf randomness and the ergodic decomposition theorem. In [ML66], Martin-Löf defined the notion of an algorithmically random infinite binary sequence. The idea was to have an individual notion of a random object, an object that is acceptable as an outcome of a probabilistic process (typically, the tossing of a coin). This notion has proved successful,...
متن کاملdeveloping a pattern based on speech acts and language functions for developing materials for the course “ the study of islamic texts translation”
هدف پژوهش حاضر ارائه ی الگویی بر اساس کنش گفتار و کارکرد زبان برای تدوین مطالب درس "بررسی آثار ترجمه شده ی اسلامی" می باشد. در الگوی جدید، جهت تدوین مطالب بهتر و جذاب تر، بر خلاف کتاب-های موجود، از مدل های سطوح گفتارِ آستین (1962)، گروه بندی عملکردهای گفتارِ سرل (1976) و کارکرد زبانیِ هالیدی (1978) بهره جسته شده است. برای این منظور، 57 آیه ی شریفه، به صورت تصادفی از بخش-های مختلف قرآن انتخاب گردید...
15 صفحه اولFiner filtration for matrix-valued cocycle based on Oseledec's multiplicative ergodic theorem
We consider a measurable matrix-valued cocycle A : Z+ × X → Rd×d, driven by a measurepreserving transformation T of a probability space (X,F , μ), with the integrability condition log ‖A(1, ·)‖ ∈ L1(μ). We show that for μ-a.e. x ∈ X, if limn→∞ 1 n log ‖A(n, x)v‖ = 0 for all v ∈ Rd \ {0}, then the trajectory {A(n, x)v}n=0 is far away from 0 (i.e. lim supn→∞ ‖A(n, x)v‖ > 0) and there is some nonz...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 2009
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm117-1-8