Pointwise convergence along cubes for measure preserving systems
动力系统
2007-05-23 v1
摘要
Let be a probability measure space and , , three not necessarily commuting measure preserving transformations on . We prove that for all bounded functions , , the averages converges a.e. Generalizations to averages of functions are also given for not necessarily commuting weakly mixing systems.
引用
@article{arxiv.math/0311274,
title = {Pointwise convergence along cubes for measure preserving systems},
author = {Idris Assani},
journal= {arXiv preprint arXiv:math/0311274},
year = {2007}
}
备注
14 pages