Conference on Ergodic Theory with Connections to Number Theory; July 21-25, 2003; Corvallis, OR

摘要：遍历理论会议：dms0303593“与数论有联系的遍历理论”会议资助申请本申请资助将于2003年7月21日至25日在俄勒冈州立大学校园举行为期一周的“与数论有联系的遍历理论”会议。我们预计约有50名与会者，其中有6名主要发言人。会议将强调以下领域：丢番图近似；Z ^ d-actions;和台球。确认的主要发言者有：P. Arnoux（马赛）；V. Bergelson（俄亥俄州立大学）；基恩先生（阿姆斯特丹）；H. Masur（伊利诺伊大学芝加哥分校）；K.施密特（维也纳）；和W. Veech（莱斯大学）。参加者将有机会作较短的演讲。数论长期以来为遍历理论提供了动力和工具。最近的结果，许多是由我们的主要演讲者获得的，包括：使用丢番图近似给出台球流遍历方向的精确结果；利用遍历拉姆齐理论澄清和推广丢番图近似的经典结果；并证明了紧群交换自同构所产生的动力学的刚性。

Abstract: Conf on ergodic Theory: DMS0303593Funding Proposal for a Conference on Ergodic Theory with Connections to Number Theory This proposal funds a week-long conference on `Ergodic Theory with Connections to Number Theory' to be held July 21-25, 2003 on the campus of Oregon State University. We expect some 50 participants, with six principal speakers. The conference will emphasize the areas of: diophantine approximation; Z^d-actions; and billiards. Confirmed principal speakers are: P. Arnoux (Marseille); V. Bergelson (Ohio State Univ.); M. Keane (Amsterdam); H. Masur (Univ. Illinios at Chicago); K. Schmidt (Vienna); and W. Veech (Rice Univ.).Participants will have the opportunity to give shorter talks. Number theory has long provided motivation and tools for ergodic theory. Recent results, many obtained by our principal speakers, include: the use of diophantine approximation to give precise results on ergodic directions for billiard flows; the use of ergodic Ramsey theory to clarify and generalize classical results of diophantine approximation; and the demonstration of the rigidity of the dynamics generated by commuting automorphisms of compact groups.