Alice Guionnet

Alice Guionnet (born 24 May 1969)[1] is a French mathematician known for her work in probability theory, in particular on large random matrices.

Alice Guionnet
Guionnet in 2006
Born (1969-05-24) 24 May 1969
NationalityFrench
Alma materÉcole Normale Supérieure
AwardsRollo Davidson Prize (2003)
Loève Prize (2009)
Simons Investigator (2012)
Scientific career
FieldsMathematics
InstitutionsENS (Lyon)
Doctoral advisorGérard Ben Arous

Biography

Guionnet entered the École Normale Supérieure (Paris) in 1989. She earned her PhD in 1995 under the supervision of Gérard Ben Arous at University of Paris-Sud. Focuses of her academic research can be viewed in her thesis, Dynamique de Langevin d'un verre de spins (Langevin Dynamics of spin glass).

She has held positions at the Courant Institute, Berkeley, MIT, and ENS (Paris). She is currently a Director of Research at ENS de Lyon.[2]

Works

Alice Guionnet is known for her work on large random matrices.[3] In this context, she established principles of large deviations for the empirical measurements of the eigenvalues of large random matrices with Gérard Ben Arous[4] and Ofer Zeitouni,[5] applied the theory of concentration of measure, initiated the rigorous study of matrices with a heavy tail, and obtained the convergence of spectral measurement of non-normal matrices.[6] She developed the analysis of Dyson-Schwinger equations to obtain topological asymptotic expansions,[7][8] and studied changes in beta-models[9] and random tilings.[10] In collaboration with Alessio Figalli,[11][12] she introduced the concept of approximate transport to demonstrate the universality of local fluctuations.

Alice Guionnet also demonstrated significant results in free probabilities by comparing Voiculescu entropies,[13] building with Vaughan Jones and Dimitri Shlyakhtenko a round of subfactors from planar algebras of any index,[14] and establishing isomorphisms between the algebras of von Neumann generated by q-Gaussian variables by constructing free transport.[15]

Distinctions

The Mathematical Research Institute of Oberwolfach awarded her the Oberwolfach Prize in 1998.

In 2003 she was awarded the Rollo Davidson Prize for her work in probability.[16]

In 2006, the French Academy of Sciences awarded her the Prix Paul Doistau–Émile Blutet.[17]

For her contributions, she won the 2009 Loève Prize.[18]

In 2012 she became a Simons Investigator.[19] She was elected to the French Academy of Sciences in 2017.[20] She is also a Fellow of the Institute of Mathematical Statistics.[21]

Guinnet is the 2018 winner of the Blaise Pascal Medal in Mathematics of the European Academy of Sciences.[20][22] She became a member of the Academia Europaea in 2017.[23]

She has been a Knight of the Legion of Honour since 2012.

In 2022 she was elected as an international member to the National Academy of Sciences (NAS)[24] and International Honorary Member of the American Academy of Arts and Sciences (AAAS).[25]

Publications
  • with Greg W. Anderson and Ofer Zeitouni, Introduction to Random Matrices, Cambridge University Press, 2009
  • Large Random Matrices - Readings on Macroscopic Asymptotics, Springer, 2009 (Reading Notes in Mathematics, Summer School of Probability of Saint-Flour 2006)
  • "Central limit theorem for nonlinear filtering and interacting particle systems", Annals of Applied probability 9, p. 275-297, 1999
  • Dynamique de Langevin d'un verre de spins (Langevin dynamics on spin glass)
  • Strong and false asymptotic freedoms of large random matrices
  • Laplace, chance and its universal laws, conference of Wednesday, April 6, 2011, National Library of France
  • Complex edge mechanisms for the completely asymmetric single exclusion process
  • Large deviations and stochastic calculus for large random matrices, Probability Surveys vol. 1, p. 72-172, 2004

References
  1. Guionnet.
  2. Curriculum Vitae
  3. G. Anderson; A. Guionnet & O. Zeitouni (2010). Cambridge University Press (ed.). An introduction to random matrices. Cambridge Studies in Advanced Mathematics, 118. ISBN 9780511801334.
  4. G. Ben Arous & A. Guionnet (1997). "Large deviations for Wigner's law and Voiculescu's non-commutative entropy". Probab. Theory Relat. 108 (4): 517–542. doi:10.1007/s004400050119. S2CID 17415771.
  5. A. Guionnet & O. Zeitouni (2002). "Large deviations asymptotics for spherical integrals". Journal of Functional Analysis. 188 (2): 461–515. doi:10.1006/jfan.2001.3833.
  6. A. Guionnet; M. Krishnapur; et O. Zeitouni (2011). "The single ring theorem". Annals of Mathematics. 174 (2): 1189–1217. doi:10.4007/annals.2011.174.2.10.
  7. A. Guionnet & E. Maurel Segala (2006). "Combinatorial aspects of matrix models". Alea. 1: 241–279. arXiv:math/0503064. Bibcode:2005math......3064G.
  8. B. Collins; A. Guionnet & E. Maurel Segala (2009). "Asymptotics of unitary and orthogonal matrix integrals". Advances in Mathematics. 222: 172–215. arXiv:math/0608193. doi:10.1016/j.aim.2009.03.019. S2CID 18359348.
  9. G. Borot & A. Guionnet (2013). "Asymptotic expansion of beta matrix models in the one-cut regime". Communications in Mathematical Physics. 317 (2): 447–483. arXiv:1107.1167. Bibcode:2013CMaPh.317..447B. doi:10.1007/s00220-012-1619-4. S2CID 17256336.
  10. A. Borodin; V. Gorin & A. Guionnet (2017). "Gaussian asymptotics of discrete $\beta$-ensembles". Publications Mathématiques de l'IHÉS. 125: 1–78. arXiv:1505.03760. doi:10.1007/s10240-016-0085-5. S2CID 119575140.
  11. F. Bekerman; A. Figalli; et A. Guionnet (2015). "Transport maps for Beta-matrix models and Universality". Communications in Mathematical Physics. 338 (2): 589–619. arXiv:1311.2315. doi:10.1007/s00220-015-2384-y. S2CID 119031960.
  12. A.Figalli & A. Guionnet (2016). "Universality in several-matrix models via approximate transport maps". Acta Mathematica. 217: 81–176. arXiv:1407.2759. doi:10.1007/s11511-016-0142-4. S2CID 119321046.
  13. P. Biane; M. Capitaine & A. Guionnet (2003). "Large deviation bounds for matrix Brownian motion". Inventiones Mathematicae. 152 (2): 433–459. Bibcode:2003InMat.152..433B. doi:10.1007/s00222-002-0281-4. S2CID 120016671.
  14. A. Guionnet; V. Jones & D. Shlyakhtenko (2010). "Random matrices, free probability, planar algebras and subfactors". Quantas of Math: 201–239.
  15. A. Guionnet; V. Jones & D. Shlyakhtenko (2014). "Free monotone transport". Inventiones Mathematicae. 197 (3): 613–661. arXiv:1204.2182. Bibcode:2014InMat.197..613G. doi:10.1007/s00222-013-0493-9. S2CID 16882208.
  16. James M. Hill & Ross Moore (2004). SIAM (ed.). Applied Mathematics Entering the 21st Century: Invited Talks from the ICIAM 2003 Congress. Vol. 116. p. 162. ISBN 978-0898715590.
  17. Académie des sciences. "Paul Doistau-Émile Blutet Prize (Mathématique)" (PDF). Retrieved 2019-01-26.
  18. "Guionnet Awarded 2009 Loève Prize" (PDF). Mathematics People. Notices of the American Mathematical Society. 56 (10): 1302. November 2009.
  19. Simons Investigators Awardees, The Simons Foundation
  20. "The Blaise Pascal Medals 2018". European Academy of Sciences. Archived from the original on 2019-01-20. Retrieved 2019-02-25.
  21. "Honored IMS Fellows". Retrieved 2020-07-01.
  22. "Guionnet Awarded Pascal Medal" (PDF). Mathematics People. Notices of the American Mathematical Society. 66 (2): 261. February 2019.
  23. "List of members". Academia Europaea. Retrieved 2020-10-02.
  24. "2022 NAS Election". www.nasonline.org. Retrieved 2022-05-22.
  25. "American Academy of Arts & Sciences Announces New Members Elected in 2022". American Academy of Arts & Sciences. Retrieved 2022-05-22.
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