Mathematical Sciences: Proposal for Emphasis Year in Probability and Ergodic Theory

该项目将部分支持2005年的重点年。 概率和遍历理论将在西北大学举行 1989- 1990学年期间就读大学。 特别是， 专业会议将在以下三个方面得到支持 （1）几乎处处概率收敛， 遍历理论，将于1989年10月16日至20日举行，由 Alexandra Bessel教授，（2）扩散过程及相关 分析中的问题，将于1989年10月23日至27日举行， 组织教授马克平斯基，和（3）流形的 非正曲率，将于1990年3月19日至23日举行， 由基思·伯恩斯教授撰写。 所涵盖的主题包括： 凸性，复鞅，算子遍历定理 非线性遍历定理，次可加性 遍历理论，随机微分几何，大 偏差，李雅普诺夫指数，Anasov系统，测地线流， 和基本群。 这些会议将是一个不可分割的 这是将在西北大学举行的重点年度的一部分。

This project will partially support an emphasis year in Probability and Ergodic Theory to be held at Northwestern University during the 1989-90 academic year. In particular, specialty conferences will be supported in the following three areas: (1) almost everywhere convergence in probability and ergodic theory, to be held October 16-20, 1989 and organized by Professor Alexandra Bellow, (2) diffusion processes and related problems in analysis, to be held October 23-27, 1989 and organized by Professor Mark Pinsky, and (3) manifolds of nonpositive curvature, to be held March 19-23, 1990 and organized by Professor Keith Burns. The topics to be covered include bi- convexity, complex martingales, ergodic theorems for operators and subsequences, non-linear ergodic theorems, sub-additive ergodic theory, stochastic differential geometry, large deviations, Lyapunov exponents, Anasov systems, geodesic flows, and the fundamental group. These conferences will be an integral part of the emphasis year that will be held at Northwestern.