Groups generated by automata

AbstractThe项目的目的是支持美国与会者的会议“组产生的自动机”，这将发生在会议中心斯特凡诺Franccini的瑞士技术大学（ETH）在阿斯科纳，瑞士从2008年2月10日至2月14日。会议致力于现代代数的一个活跃的分支：由自动机（转换器）生成的群。会议将重点讨论自动机生成的组的应用程序到数学的其他主题：自动序列，伽罗瓦理论，动力系统等。它将汇集不同领域的专家，将是他们之间分享想法的场所，并为所有对此感兴趣的人提供对该主题的全面介绍。作为具有异国情调的群体的有趣例子。最近的一个重要发展是与动力系统的紧密联系，这使得它们成为全纯动力学和分形分析的重要工具。会议将对这些主题进行全面介绍，以便来自不同领域的专家（特别是来自全纯和符号动力学的专家）可以快速深入了解自动机生成的群体。

AbstractThe purpose of the project is support of the US participants of the conference "Groups generated by automata", which will take place at the conference center Centro Stefano Franscini of the Swiss Technical University (ETH) in Ascona, Switzerland from February 10 to February 14, 2008. The conference is devoted to an active branch of modern Algebra: groups generated by automata(transducers). The conference will focus on applications of groups generated by automata to other topics of Mathematics: automatic sequences, Galois Theory, dynamical systems, etc. It will bring together specialists of different areas, will be a venue for sharing ideas between them and provide a comprehensive introduction to the subject to all interested in it.Groups generated by automata where discovered in 1970's, as interesting examples of groups with exotic properties. An important recent development is a strong link with dynamical systems, which has made them an important tool in holomorphic dynamics and analysis on fractals. A thorough introduction to these topics will be provided at the conference, so that experts from different fields (in particular from Holomorphic and Symbolic Dynamics) may get quick in-depth knowledge of groups generated by automata.