Lai-Sang Young

American mathematician

In this Chinese name, the family name is  Young.

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

[edit]

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

[edit]

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

[edit]

* 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, Bibcode:1993InMat.112..541B, 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, Bibcode:2002JSP...108..733Y, doi:10.1023/A:1019762724717, MR 1933431, S2CID 144034055–6&rft.pages=733-754&rft.date=2002&rft_id=info:doi/10.1023/A:1019762724717&rft_id=https://mathscinet.ams.org/mathscinet-getitem?mr=1933431#id-name=MR&rft_id=https://api.semanticscholar.org/CorpusID:14403405#id-name=S2CID&rft_id=info:bibcode/2002JSP...108..733Y&rft.aulast=Young&rft.aufirst=Lai-Sang&rfr_id=info:sid/en.wikipedia.org:Lai-Sang+Young" class="Z3988">.

## References

[edit]

1. ^ Lai-Sang Young, New York University, retrieved 2015-06-07.
2. ^ 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.
3. ^ 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.
4. ^ a b c d Riddle, Larry (January 10, 2014), "Lai-Sang Young", Biographies of Women Mathematicians, Agnes Scott College, retrieved 2015-06-07.
5. ^ a b c d O'Connor, John J.; Robertson, Edmund F., "Lai-Sang Young", MacTutor History of Mathematics Archive, University of St Andrews
6. ^ Lai-Sang Lily Young at the Mathematics Genealogy Project
7. ^ Guggenheim fellows: Lai-Sang Young, John Simon Guggenheim Memorial Foundation, archived from the original on 2016-03-05, retrieved 2015-06-07.
8. ^ Browse Prizes and Awards: Ruth Lyttle Satter Prize in Mathematics, American Mathematical Society, retrieved 2015-06-07.
9. ^ American Academy Announces 2004 Fellows and Foreign Honorary Members, American Academy of Arts and Sciences, April 30, 2004, retrieved 2015-06-07.
10. ^ "Plenary lectures", ICM 2018, archived from the original on 2018-01-14, retrieved 2018-08-08
11. ^ Lai-Sang Young to deliver AWM-SIAM Sonia Kovalevsky Lecture (PDF), Association for Women in Mathematics, March 30, 2007, archived from the original (PDF) on 2016-03-04, retrieved 2015-06-07.
12. ^ National Academy of Sciences Elects New Members
13. ^ "May 2021 Prize Spotlight". SIAM News. 4 May 2021. Retrieved 2021-05-10.
14. ^ Rolf Schock Prize 2024

## External links

[edit]

* Young's Homepage
* "Dynamical systems evolving – Lai-Sang Young – ICM2018". YouTube. 19 September 2018. (Plenary Lecture 8)
* Kevin Hartnett, A Mathematical Model Unlocks the Secrets of Vision, Quanta Magazine, 21 August 2019

* v
* t
* e

Chaos theory

Concepts|

Core

* Attractor
* Bifurcation
* Fractal
* Limit set
* Lyapunov exponent
* Orbit
* Periodic point
* Phase space

|

* Anosov diffeomorphism
* Arnold tongue
* axiom A dynamical system
* Bifurcation diagram
* Box-counting dimension
* Correlation dimension
* Conservative system
* Ergodicity
* False nearest neighbors
* Hausdorff dimension
* Invariant measure
* Lyapunov stability
* Measure-preserving dynamical system
* Mixing
* Poincaré section
* Recurrence plot
* SRB measure
* Stable manifold
* Topological conjugacy

Theorems

* Ergodic theorem
* Liouville's theorem
* Krylov–Bogolyubov theorem
* Poincaré–Bendixson theorem
* Poincaré recurrence theorem
* Stable manifold theorem
* Takens's theorem

Theoretical
branches|

* Bifurcation theory
* Control of chaos
* Dynamical system
* Ergodic theory
* Quantum chaos
* Stability theory
* Synchronization of chaos

Chaotic
maps (list)|

Discrete

* Arnold's cat map
* Baker's map
* Complex quadratic map
* Coupled map lattice
* Duffing map
* Dyadic transformation
* Dynamical billiards
* outer
* Exponential map
* Gauss map
* Gingerbreadman map
* Hénon map
* Horseshoe map
* Ikeda map
* Interval exchange map
* Irrational rotation
* Kaplan–Yorke map
* Langton's ant
* Logistic map
* Standard map
* Tent map
* Tinkerbell map
* Zaslavskii map

|

Continuous

* Double scroll attractor
* Duffing equation
* Lorenz system
* Lotka–Volterra equations
* Mackey–Glass equations
* Rabinovich–Fabrikant equations
* Rössler attractor
* Three-body problem
* Van der Pol oscillator

Physical
systems|

* Chua's circuit
* Convection
* Double pendulum
* Elastic pendulum
* FPUT problem
* Hénon–Heiles system
* Kicked rotator
* Multiscroll attractor
* Population dynamics
* Swinging Atwood's machine
* Tilt-A-Whirl
* Weather

Chaos
theorists|

* Michael Berry
* Rufus Bowen
* Mary Cartwright
* Chen Guanrong
* Leon O. Chua
* Mitchell Feigenbaum
* Peter Grassberger
* Celso Grebogi
* Martin Gutzwiller
* Brosl Hasslacher
* Michel Hénon
* Svetlana Jitomirskaya
* Bryna Kra
* Edward Norton Lorenz
* Aleksandr Lyapunov
* Benoît Mandelbrot
* Hee Oh
* Edward Ott
* Henri Poincaré
* Itamar Procaccia
* Mary Rees
* Otto Rössler
* David Ruelle
* Caroline Series
* Yakov Sinai
* Oleksandr Mykolayovych Sharkovsky
* Nina Snaith
* Floris Takens
* Audrey Terras
* Mary Tsingou
* Marcelo Viana
* Amie Wilkinson
* James A. Yorke
* Lai-Sang Young

Related
articles|

* Butterfly effect
* Complexity
* Edge of chaos
* Predictability
* Santa Fe Institute

* v
* t
* e

Ruth Lyttle Satter Prize in Mathematics recipients

* 1991 Dusa McDuff
* 1993 Lai-Sang Young
* 1995 Sun-Yung Alice Chang
* 1997 Ingrid Daubechies
* 1999 Bernadette Perrin-Riou
* 2001 Karen E. Smith & Sijue Wu
* 2003 Abigail Thompson
* 2005 Svetlana Jitomirskaya
* 2007 Claire Voisin
* 2009 Laure Saint-Raymond
* 2011 Amie Wilkinson
* 2013 Maryam Mirzakhani
* 2015 Hee Oh
* 2017 Laura DeMarco
* 2019 Maryna Viazovska
* 2021 Kaisa Matomäki
* 2023 Panagiota Daskalopoulos & Nataša Šešum
* 2025 Ana Caraiani

Authority control databases

International|

* ISNI
* VIAF
* WorldCat

National|

* Germany
* United States
* Netherlands
* Norway
* Israel

Academics|

* Mathematics Genealogy Project
* zbMATH
* DBLP
* MathSciNet

Other|

* IdRef
* Yale LUX

*[v]: View this template
*[t]: Discuss this template
*[e]: Edit this template