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

摘要：遍历理论会议：DMS0303593 与数论相关的遍历理论会议的资助提案 该提案资助将于 2003 年 7 月 21 日至 25 日在俄勒冈州立大学校园举行的为期一周的“与数论相关的遍历理论”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-动作；和台球。 已确认的主要发言人为： P. Arnoux（马赛）； V. Bergelson（俄亥俄州立大学）； M.基恩（阿姆斯特丹）； H. Masur（芝加哥伊利诺斯大学）； K.施密特（维也纳）；和 W. Veech（莱斯大学）。参与者将有机会进行简短的演讲。 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发言人获得的，包括： 使用丢番图近似来给出台球流各态遍历方向的精确结果；使用遍历拉姆齐理论来阐明和推广丢番图近似的经典结果；以及由紧群的交换自同构产生的动力学的刚性的证明。

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.