Tien-Yien Li

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Tien-Yien Li (born June 28, 1945 in Sha District, Fujian Province, Republic of China ; † June 25, 2020 ) was a Sino-American mathematician who studied dynamic systems , differential equations and numerical analysis.

life and work

Li is the son of a medical professor who studied in Tokyo and taught at the Hunan Xiang-ya Medical School. When he was three years old, he went to Taiwan with his parents. He attended Tsing Hua National University in Taiwan with a bachelor's degree in mathematics in 1968, did a year of military service and then went to the University of Maryland, College Park , where he received his doctorate in 1974 with James Yorke ( Dynamics for ). As a post-graduate student , he was an instructor at the University of Utah . In 1976 he became Assistant Professor, 1979 Associate Professor and 1983 Professor at the University of Michigan . In 1998 he became a University Distinguished Professor there.

In 1987/88 he was visiting professor at the RIMS in Kyoto , in 1993 visiting professor at CRM in Barcelona , in 1998 at MSRI , in 2000 at the City University of Hong Kong , and in 2009 at the Fields Institute in Toronto . In 1978/79 he was Visiting Associate Professor at the Research Institute of Mathematics at the University of Wisconsin . He was also an honorary visiting professor at Jilin University in the People's Republic of China and Tsing Hua University in Beijing.

He was known for his essay with James Yorke Period three implies chaos from 1975, which made both pioneers of chaos theory . He also gave, for example, a constructive proof of Brouwer's Fixed Point Theorem with numerical results, dealt with the numerical solution of systems of polynomial equations (using the homotopy method), homotopy algorithms for eigenvalue problems and the numerical determination of roots of analytical functions in limited ones Areas.

In 1995 he was a Guggenheim Fellow . He was an honorary professor at Tsing-Hua National University. In 2002 he received the Distinguished Alumni Award from Tsing-Hua National University in Taiwan.

He was a US citizen.

Fonts

  • with James Yorke: Period Three Implies Chaos. In: American Mathematical Monthly. Volume 82, 1975, pp. 985-992.
  • with M. Misiurewicz , G. Pianigiani, J. Yorke: Odd chaos, Physics Letters, A, Volume 87, 1982, 271-273
  • with M. Misiurewicz, G. Pianigiani, J. Yorke: No division implies chaos, Transactions AMS, Volume 273, 1982, pp. 191-199
  • Solving polynomial systems, Mathematical Intelligencer, Volume 9, 1987, No. 3
  • with T. Sauer, J. Yorke: Numerically determining solutions of systems of polynomial equations, Bulletin AMS, Volume 18, 1988, pp. 173-177
  • with J. Ding: Entropy, an introduction, Nankai Series Pure Appl. Math. Theor. Phys., Vol. 4, 1993, World Scientific, pp. 26-54
  • with RB Kellogg, J. Yorke: A constructive proof of the Brouwer fixed point theorem and computational results, SIAM J. Numer. Anal., Vol. 13, 1976, pp. 473-483.

literature

  • Biography of Jiu Ding in Biographies of Chinese Mathematicians , Chinese Mathematical Society, Volume 6, 2004

Web links

Individual evidence

  1. ↑ life data according to Pamela Kalte u. a. American Men and Women of Science , Thomson Gale 2004. It says the place of birth is Hunan , an ancient Chinese province. The place of birth here according to the biography of Jiu Ding, see literature, where it also says that the family is from Hunan.
  2. ↑ Dr. Tien-Yien Li. In: Lansing State Journal. legacy.com, June 26, 2020, accessed June 30, 2020 .
  3. ↑ Tien-Yien Li in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Li, Tien-Yien
BRIEF DESCRIPTION Chinese-American mathematician
DATE OF BIRTH June 28, 1945
PLACE OF BIRTH Sha District, Fujian Province, Republic of China
DATE OF DEATH June 25, 2020