ergodic theorem meaning in Chinese
遍涝定理
遍历定理
脯历经定理
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 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。 - Reich [ 2 ] proved the ergodic theorems to nonexpansive semigroups in hilbert spaces . takahashi and zhang [ 3 ] , tan and xu [ 4 ] extended baillon ' s theorem to asymptotically nonexpansive and asymptotically nonexpansive type semigroups in hilbert spaces . recently , reich [ 6 ] , bruck [ 5 ] , oka [ 7 ] gave the ergodic convergence theorems for nonexpansive , asymptotically nonexpansive mappings and semigroups in uniformly convex banach spaces with frechet differentiable norm . li and ma [ 13 ] obtained the ergodic convergence theorems for general commutative asymptotically nonexpansive type topological semigroups in reflexive banach space , which is a great breakthrough
Baillon [ 1 ]首先在hilbert空间的非空凸闭子集上给出了非扩张映照的弱遍历收敛定理。 baillon的定理引起了很多数学家的兴趣， reich [ 2 ]在hilbert空间中证明了非扩张半群的遍历收敛定理。 takahashi和zhang [ 3 ] ， tan和xu [ 4 ]分别将baillon的定理推广到渐近非扩张半群及渐近非扩张型半群。