American mathematician
Lai-Sang Young in
Oberwolfach , 2009
Lai-Sang Lily Young (
Chinese : 楊麗笙 , born 1952) is a Hong Kong-born American
mathematician who holds the Henry & Lucy Moses
Professorship of Science and is a professor of
mathematics and
neural science at the
Courant Institute of Mathematical Sciences of
New York University . Her research interests include
dynamical systems ,
ergodic theory ,
chaos theory ,
probability theory ,
statistical mechanics , and
neuroscience .
[1] She is particularly known for introducing the method of Markov returns in 1998, which she used to prove exponential correlation delay in
Sinai billiards and other hyperbolic dynamical systems.
[2]
Education and career
Although born and raised in Hong Kong, Young came to the US for her education, earning a bachelor's degree from the
University of Wisconsin–Madison in 1973. She moved to the
University of California, Berkeley for her graduate studies, earning a master's degree in 1976 and completing her doctorate in 1978, under the supervision of
Rufus Bowen .
[3]
[4]
[5]
[6] She taught at
Northwestern University from 1979 to 1980,
Michigan State University from 1980 to 1986, the
University of Arizona from 1987 to 1990, and the
University of California, Los Angeles from 1991 to 1999. She has been the Moses Professor at NYU since 1999.
[3]
[4]
[5]
Awards and honors
Young became a
Sloan Fellow in 1985,
[3]
[5] and a
Guggenheim Fellow in 1997.
[4]
[7]
In 1993, Young was given the
Ruth Lyttle Satter Prize in Mathematics of the
American Mathematical Society "for her leading role in the investigation of the statistical (or ergodic) properties of dynamical systems".
[8] This is a biennial award for outstanding research contributions by a
female mathematician .
[3]
In 2004, she was elected as a
fellow of the
American Academy of Arts and Sciences .
[3]
[9]
Young was an
invited speaker at the International Congress of Mathematicians in 1994,
[5] and an invited plenary speaker at the 2018 International Congress of Mathematicians.
[10]
In 2005, she presented the
Noether Lecture of the
Association for Women in Mathematics ; her talk was entitled "From Limit Cycles to Strange Attractors".
[3] In 2007, she presented the
Sonia Kovalevsky lecture, jointly sponsored by the AWM and the
Society for Industrial and Applied Mathematics .
[4]
[11]
In 2020 she was elected a member of the
National Academy of Sciences .
[12] She is the recipient of the 2021 Jürgen Moser Lecture prize "for her sustained and deep contributions to the theory of non-uniformly hyperbolic dynamical systems."
[13] In 2023, she was awarded the
Heinz Hopf Prize and in 2024 the
Rolf Schock Prize .
[14]
Selected publications
Block, Louis;
Guckenheimer, John ;
Misiurewicz, Michał ; Young, Lai Sang (1980), "Periodic points and topological entropy of one-dimensional maps", Global theory of dynamical systems (Proc. Internat. Conf., Northwestern Univ., Evanston, Ill., 1979) , Lecture Notes in Mathematics, vol. 819, Berlin: Springer, pp. 18–34,
doi :
10.1007/BFb0086977 ,
ISBN
978-3-540-10236-6 ,
MR
0591173 .
Young, Lai Sang (1982), "Dimension, entropy and Lyapunov exponents",
Ergodic Theory and Dynamical Systems , 2 (1): 109–124,
doi :
10.1017/S0143385700009615 ,
MR
0684248 .
Benedicks, Michael ; Young, Lai-Sang (1993), "Sinaĭ–Bowen–Ruelle measures for certain Hénon maps",
Inventiones Mathematicae , 112 (3): 541–576,
doi :
10.1007/BF01232446 ,
MR
1218323 ,
S2CID
18642732 .
Young, Lai-Sang (1998), "Statistical properties of dynamical systems with some hyperbolicity",
Annals of Mathematics , Second Series, 147 (3): 585–650,
CiteSeerX
10.1.1.727.6404 ,
doi :
10.2307/120960 ,
JSTOR
120960 ,
MR
1637655 .
Young, Lai-Sang (1999), "Recurrence times and rates of mixing",
Israel Journal of Mathematics , 110 : 153–188,
doi :
10.1007/BF02808180 ,
MR
1750438 ,
S2CID
17557828 .
Wang, Qiudong ; Young, Lai-Sang (2001), "Strange attractors with one direction of instability",
Communications in Mathematical Physics , 218 (1): 1–97,
Bibcode :
2001CMaPh.218....1W ,
doi :
10.1007/s002200100379 ,
MR
1824198 ,
S2CID
120611205 .
Young, Lai-Sang (2002), "What are SRB measures, and which dynamical systems have them?",
Journal of Statistical Physics , 108 (5–6): 733–754,
doi :
10.1023/A:1019762724717 ,
MR
1933431 ,
S2CID
14403405 .
References
^
Lai-Sang Young , New York University, retrieved 2015-06-07 .
^ Szász, D. (2000),
Hard ball systems and the Lorentz gas , Encyclopaedia of Mathematical Sciences, vol. 101, Berlin: Springer-Verlag, p. 3,
ISBN
3-540-67620-1 ,
MR
1805337 .
^
a
b
c
d
e
f
Lai-Sang Young: From Limit Cycles to Strange Attractors ,
Association for Women in Mathematics , 2005, archived from
the original on 2015-06-29, retrieved 2015-06-07 .
^
a
b
c
d Riddle, Larry (January 10, 2014),
"Lai-Sang Young" , Biographies of Women Mathematicians ,
Agnes Scott College , retrieved 2015-06-07 .
^
a
b
c
d O'Connor, John J.;
Robertson, Edmund F. ,
"Lai-Sang Young" ,
MacTutor History of Mathematics Archive ,
University of St Andrews
^
Lai-Sang Lily Young at the
Mathematics Genealogy Project
^
Guggenheim fellows: Lai-Sang Young , John Simon Guggenheim Memorial Foundation, retrieved 2015-06-07 .
^
Browse Prizes and Awards: Ruth Lyttle Satter Prize in Mathematics ,
American Mathematical Society , retrieved 2015-06-07 .
^
American Academy Announces 2004 Fellows and Foreign Honorary Members ,
American Academy of Arts and Sciences , April 30, 2004, retrieved 2015-06-07 .
^
"Plenary lectures" , ICM 2018 , archived from
the original on 2018-01-14, retrieved 2018-08-08
^
Lai-Sang Young to deliver AWM-SIAM Sonia Kovalevsky Lecture (PDF) ,
Association for Women in Mathematics , March 30, 2007, retrieved 2015-06-07 .
^
National Academy of Sciences Elects New Members
^
"May 2021 Prize Spotlight" . SIAM News . Retrieved 2021-05-10 .
^
Rolf Schock Prize 2024
External links
Concepts
Theoretical branches Chaotic maps (
list )
Physical systems Chaos theorists Related articles
International National Academics Other