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06 - 08
[ Wed. ]
NCTS Summer School on Dynamical Systems: Topological and Arithmetic Dynamics
 
Registration:
 
 
Speakers:
 
W. Abram, Hillsdale College, USA
Yongluo Cao, Suzhou University, China
Chih­Hung Chang, National University of Kaohsiung, Taiwan
Ercai Chen, Nanjing Normal University, China
Yi­Chiuan Chen, Academia Sinica, Taiwan
Shilei Fan, Central China Normal University, China
Dejun Feng, The Chinese University of Hong Kong, HK
John M. Hong, National Central University, Taiwan
Wen­Guei Hu, Sichuan University, China
Wen Huang, Sichuan University, China
Derong Kong, Yangzhou University, China
Tomoki Kawahira, Tokyo Institute of Technology, Japan
Jeffrey C. Lagarias, University of Michigan, USA (To be confirmed)
Kasing Lau, The Chinese University of Hong Kong, HK
Lingmin Liao, Université Paris­Est Créteil Val de Marne, France
Wen­Xin Qin, Suzhou University, China
Hui Rao, Central China Normal University, China
Mansoor Saburov, Kulliyyah of Science International Islamic University Malaysia, Malaysia
John P. Ward, Loughborough University, UK
Shi­Liang Wu, School of Mathematics and Statistics, Xidan University, China
Yang Wang, The Hong Kong University of Science and Technology, HK
Yun Zhao, Suzhou University, China
 
Organizers:
 
Jung­Chao Ban, National Dong Hwa University, Taiwan
Kuo­Chang Chen, National Tsing Hua University, Taiwan
Cheng­Hsiung Hsu, National Central University, Taiwan
Aihua Fan, University de Picardie, France
Yunping Jiang, CUNY, USA
 
課程背景與目的:
 
動態系統是目前國內外甚為活躍領域之一,過去一個世紀集海內外動態系統學家的努力發展了大量的理論工具,其中包括了混沌學、碎形幾何學、熱力學數學原理、維度理論等。這些理論已毋庸置疑地對天體力學、(偏)微分方程、物理學以及資訊學許多突破性進展起了相當大的作用和貢獻。這些年間尤其透過拓樸動態系統的高度發展,目前已將其觸角伸至包括數論等傳統領域,眾所週知的就是Metric Diophantine approximation、Shrinking target problem、Continued fraction、p-adic and beta transformation等著名工作及問題。引進動態系統的技巧來處理這些問題的原因除了是聯繫傳統數學分支與動態系統的關聯外,更大部份是希望能夠深刻理解 Furstenberg、Littlewood、黎曼猜想背後的動態機制並提供更強大的工具來處理相關問題。
 
本課程鎖定兩部分:拓樸動態系統以及算術動態系統,並請到這方面的專家級學者來為我們講授該課程。一來是希望將這領域有系統的帶進台灣,讓台灣學子能夠更熟悉目前國際團隊對這些工作的相關知識及進展。另一部分是促成國內有興趣的學者和這些動態系統專家做更進一步的交流及合作。
 
 
議程:
 
1. 8/5 (五) 10:30-12:00 & 14:00-15:30 
Speaker: Professor W. Abram, Hillsdale College,USA
Title: Symbolic arithmetic dynamics
 
2. 8/12 (五) 10:30-12:00 & 14:00-15:30
Speaker: Professor Derong Kong (孔德榮), Yangzhou University, China
Title: Intersections of Cantor sets and beta expansions
 
3. 8/19 (五) 10:30-12:00 & 14:00-15:30
Speaker: Professor Ai-Hua Fan (范愛華), Université de Picardie Jules Verne, France
Title: Weighted Ergodic Theorems
 
4. 8/22 (一) 10:30-12:00 & 14:00-15:30
Speaker: Professor Yong-Luo Cao (曹永羅), Soochow University, China
Title: The estimate of dimension for non-conformal repellers
 
5. 9/2 (五) 10:30-12:00 & 14:00-15:30
Speaker: Professor Bing Li (李兵), South China University of Technology, China
Title: Thermodynamic formalism for the singular value function (I)
 
6. 9/9 (五) 10:30-12:00 & 14:00-15:30
Speaker: Professor Bing Li (李兵), South China University of Technology, China
Title: Thermodynamic formalism for the singular value function (II)
 
7. 9/16 (五) 10:30-12:00 & 14:00-15:30
Speaker: Professor Akiyama, University of Tsukuba, Japan
Title: Substitutive dynamical system and its applications
 

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