• 主题
高级搜索  >
历史搜索 清空历史
首页> 中文期刊> 《数学年刊B辑（英文版）》 >LARGE DEVIATIONS FOR SYMMETRIC DIFFUSION PROCESSES

LARGE DEVIATIONS FOR SYMMETRIC DIFFUSION PROCESSES

         
页面导航
  • 摘要
  • 著录项
  • 相关主题

摘要

Let a（x）=(aij（x）) be a uniformly continuous, symmetric and matrix-valued function satisfying uniformly elliptic condition, p（t, x, y） be the transition density function of the diffusion process associated with the Diriehlet space （, H01 （Rd））, where（u, v）=1/2 integral from n=Rd sum from i=j to d(u（x）/xi v（x）/xjaij（x）dx).Then by using the sharpened Arouson’s estimates established by D. W. Stroock, it is shown that2t ln p（t, x, y）=-d2（x, y）.Moreover, it is proved that Py6 has large deviation property with rate functionI（ω）=1/2 integral from n=0 to 1（t）, α-1（ω（t））,（t）dtas s→0 and y→x, where Py6 denotes the diffusion measure family associated with the Dirichlet form （ε, H01（Rd））.

著录项

获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号