| 词条 | William A. Veech |
| 释义 |
EducationVeech graduated from Dartmouth College in 1960,[1] and earned his Ph.D. in 1963 from Princeton University under the supervision of Salomon Bochner.[1][3] ContributionsAn interval exchange transformation is a dynamical system defined from a partition of the unit interval into finitely many smaller intervals, and a permutation on those intervals. Veech and Howard Masur independently discovered that, for almost every partition and every irreducible permutation, these systems are uniquely ergodic, and also made contributions to the theory of weak mixing for these systems.[4] The Rauzy–Veech–Zorich induction map, a function from and to the space of interval exchange transformations is named in part after Veech: Rauzy defined the map, Veech constructed an infinite invariant measure for it, and Zorich strengthened Veech's result by making the measure finite.[5] The Veech surface and the related Veech group are named after Veech, as is the Veech dichotomy according to which geodesic flow on the Veech surface is either periodic or ergodic.[6] Veech played a role in the Nobel-prize-winning discovery of buckminsterfullerene in 1985 by a team of Rice University chemists including Richard Smalley. At that time, Veech was chair of the Rice mathematics department, and was asked by Smalley to identify the shape that the chemists had determined for this molecule. Veech answered, "I could explain this to you in a number of ways, but what you've got there, boys, is a soccer ball."[7][8] Veech is the author of A Second Course in Complex Analysis (W. A. Benjamin, 1967; Dover, 2008, {{ISBN|9780486462943}}).[9][10][11] Awards and honorsIn 2012, Veech became one of the inaugural fellows of the American Mathematical Society.[12] References1. ^1 2 Faculty profile, Rice University, retrieved 2015-03-01. {{Authority control}}{{DEFAULTSORT:Veech, William A.}}2. ^{{cite web | url=http://www.ricethresher.org/article/2016/09/former-math-department-chair-passes-away | title=Former math department chair passes away | publisher=Rice Thresher | accessdate=29 September 2016 | author=Todd, Hannah}} 3. ^{{mathgenealogy|id=8126}} 4. ^{{citation|contribution=Prevalence|first1=B. R.|last1=Hunt|first2=V. Yu.|last2=Kaloshin|title=Handbook of Dynamical Systems, Volume 3|editor1-first=H.|editor1-last=Broer|editor2-first=F.|editor2-last=Takens|editor3-first=B.|editor3-last=Hasselblatt|publisher=Elsevier|year=2010|isbn=9780080932262|pages=43–88}}. See in particular [https://books.google.com/books?id=mJYw3u2HniUC&pg=PA51 p. 51]. 5. ^{{citation | last = Bufetov | first = Alexander I. | doi = 10.1090/S0894-0347-06-00528-5 | issue = 3 | journal = Journal of the American Mathematical Society | mr = 2220100 | pages = 579–623 | title = Decay of correlations for the Rauzy-Veech-Zorich induction map on the space of interval exchange transformations and the central limit theorem for the Teichmüller flow on the moduli space of abelian differentials | volume = 19 | year = 2006| arxiv = math/0506222 }}. 6. ^{{citation | last1 = Smillie | first1 = John | last2 = Weiss | first2 = Barak | doi = 10.1017/S0143385708000114 | issue = 6 | journal = Ergodic Theory and Dynamical Systems | mr = 2465608 | pages = 1959–1972 | title = Veech's dichotomy and the lattice property | volume = 28 | year = 2008}}. 7. ^{{citation|first=Edward|last=Edelson|title=Buckyball: the magic molecule|journal=Popular Science|date=August 1991|pages=52–57, 87}}. The quote is on [https://books.google.com/books?id=l3CxgWPR4j8C&pg=PA55 p. 55]. 8. ^{{citation|title=Designing the Molecular World: Chemistry at the Frontier|series=Princeton Science Library|first=Philip|last=Ball|authorlink=Philip Ball|publisher=Princeton University Press|year=1996|isbn=9780691029009|page=46|url=https://books.google.com/books?id=tvP7hyVa2BwC&pg=PA46}}. 9. ^Review of A Second Course in Complex Analysis by E. Hille, {{MR|0220903}}. 10. ^{{citation|title=W. A. Veech, A Second Course in Complex Analysis|department=Book Reviews|first=H.|last=Wenzel|journal=Journal of Applied Mathematics and Mechanics|volume=48|issue=7|pages=502–503|doi=10.1002/zamm.19680480725|bibcode=1968ZaMM...48..502W}}. 11. ^{{citation|title=A Second Course in Complex Analysis, William A. Veech|work=MAA Reviews|publisher=Mathematical Association of America|first=Allen|last=Stenger|date=April 24, 2008|url=http://www.maa.org/publications/maa-reviews/a-second-course-in-complex-analysis}}. 12. ^List of Fellows of the American Mathematical Society, retrieved 2015-03-01. 8 : Year of birth missing (living people)|Living people|20th-century American mathematicians|21st-century American mathematicians|Mathematical analysts|Dartmouth College alumni|Rice University faculty|Fellows of the American Mathematical Society |
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