International Research Fellowship Program: Dynamics and Geometry of Maps with Discontinuities

国际研究奖学金计划使美国科学家和工程师能够在国外进行三到二十四个月的研究。 该计划的奖项提供了联合研究的机会，以及使用国外独特或互补的设施，专业知识和实验条件。该奖项将支持Arek J. Goetz博士与法国马赛大学的Pierre Arnoux博士合作进行为期七个月的研究奖学金。Goetz博士将加入马赛第二大学，Institut de Luminy，和理论物理中心，在研究有关的动力学转换与低符号复杂性。 特别是，他将探讨可逆分段旋转，几何和分形结构的编码分区诱导的符号动力学之间的关系。 奖学金的最后一个月将在英国的埃克塞特大学度过，他将加入由Peter Ashwin博士领导的动力系统研究团队，并将分段等距理论的结果应用于电气工程，特别是数字滤波器理论。 数字滤波器是当前在诸如蜂窝电话和语音和图像识别设备的电子设备中使用的计算机算法。

0202732GoetzThe International Research Fellowship Program enables U.S. scientists and engineers to conduct three to twenty-four months of research abroad. The program's awards provide opportunities for joint research, and the use of unique or complementary facilities, expertise and experimental conditions abroad.This award will support a seven month research fellowship by Dr. Arek J. Goetz to work with Dr. Pierre Arnoux at the University of Marseille in France.Dr. Goetz will join a group of active researchers at the University of Marseille II, Institut de Luminy, and the Center of Theoretical Physics, in research pertaining to the dynamics of transformations with low symbolic complexity. In particular, he will explore the relationship between the symbolic dynamics induced by invertible piecewise rotations, the geometry and fractal structure of the coding partition. The last month of the fellowship will be spent at the University of Exeter in the UK where he will join a team of researchers in dynamical systems led by Dr. Peter Ashwin and apply results from the theory of piecewise isometries to electrical engineering, in particular to the theory of digital filters. Digital filters are computer algorithms used currently in electronic devices such as cell phone and voice and image recognition devices.