遍历定理 meaning in English
ergodensatz ergodic theorem
ergodic theorem
Examples
- The most plausible operatorial generalization of result of preceding paragraph is known as the "mean ergodic theorem for unitary operators. "
前段结果可以推广到算子去，其中最近情近理的推广是“单算子的平均遍历定理”。 - The most plausible operatorial generalization of result of preceding paragraph is known as the " mean ergodic theorem for unitary operators .
前段结果可以推广到算子去，其中最近情近理的推广是“单算子的平均遍历定理” 。 - We define a type of hyperbolicity on the full measure invariant set which is given by the oseledec ' s multiplicative ergodic theorem and prove that the system has the lipschitz shadowing property on it
对于由oseledec乘法遍历定理得到的满测度( fullmeasure )不变集定义了双曲性，并证明了系统在这个不变集上具有lipschitz跟踪性。 - In this thesis we mainly study degenerate - times integrated operater families and its applications to abstract cauchy problems , and we study the mean ergodicty theorems and the convergence rates of ergodic limits and approximation for k - regularized resolvent families
本文我们主要研究退化( r ) -次积分预解算子族及它对抽象cauchy问题的应用，并且研究k -正则预解算子族的平均遍历定理和遍历极限的收敛率。 - In three part we study the ergodicty for k - regularized resolvent operator families including the mean ergodicty , abel - ergodicity and cesaro - ergodicity . we prove the mean ergodic theorems of k - regularized resolvent operator families . and we give out the definition of abel - ergodicity and cesaro - ergodicity for k - regularized resolvent operator families . moreover , we give the relationship between the two kinds of ergodicity and their basic properties
我们证明了k -正则预解算子族的平均遍历定理。给出了k -正则预解算子族的abel遍历性和ces ro遍历性的定义，并证明了它们的相互关系和一些基本性质。