A note on the integrability of C r -norms of stochastic flows and applications

A note on the integrability of C r -norms of stochastic flows and applications
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关于随机流 C r 范数的可积性及其应用的注记

DOI:
10.1007/bfb0077921
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发表时间:
1988
影响因子:
0.6
通讯作者:
Y. Kifer
Y. Kifer
中科院分区:
数学4区
文献类型:
--
作者:
Y. Kifer

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本文证明了随机流的高阶导数的一致范数的可积性,并由此得到了C2-随机流的非随机稳定流形的存在性、Pesin型熵公式和某些不变子丛的保持器连续性.
The integrability of uniform norms for higher derivatives of stochastic flows proved in this note implies existence of non-random stable manifolds, a Pesin type entropy formula and Holder continuity of certain invariant subbundles for C2-stochastic flows.