Alice Guionnet (born 24 May 1969) is a French

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

known for her work in

probability theory Probability theory is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set o ...

, in particular on large

random matrices In probability theory and mathematical physics, a random matrix is a matrix-valued random variable—that is, a matrix in which some or all elements are random variables. Many important properties of physical systems can be represented mathemat ...

Biography

Guionnet entered the

École Normale Supérieure École may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, Savoi ...

(Paris) in 1989. She earned her PhD in 1995 under the supervision of

Gérard Ben Arous Gérard Ben Arous (born 26 June 1957) is a French mathematician, specializing in stochastic analysis and its applications to mathematical physics. He served as the director of the Courant Institute of Mathematical Sciences at New York Universit ...

University of Paris-Sud Paris-Sud University (French: ''Université Paris-Sud''), also known as University of Paris — XI (or as Université d'Orsay before 1971), was a French research university distributed among several campuses in the southern suburbs of Paris, in ...

. Focuses of her academic research can be viewed in her thesis, ''Dynamique de Langevin d'un verre de spins'' (

Langevin Dynamics In physics, Langevin dynamics is an approach to the mathematical modeling of the dynamics of molecular systems. It was originally developed by French physicist Paul Langevin. The approach is characterized by the use of simplified models while acco ...

of spin glass). She has held positions at the

Courant Institute The Courant Institute of Mathematical Sciences (commonly known as Courant or CIMS) is the mathematics research school of New York University (NYU), and is among the most prestigious mathematics schools and mathematical sciences research cente ...

Berkeley Berkeley most often refers to: *Berkeley, California, a city in the United States **University of California, Berkeley, a public university in Berkeley, California * George Berkeley (1685–1753), Anglo-Irish philosopher Berkeley may also refer ...

MIT The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern technology and science, and is one of the m ...

, and ENS (Paris). She is currently a Director of Research at ENS de Lyon.

Works

Alice Guionnet is known for her work on large random matrices. In this context, she established principles of large deviations for the empirical measurements of the eigenvalues of large random matrices with

and

Ofer Zeitouni Ofer Zeitouni (עפר זיתוני, born 23 October 1960, Haifa) is an Israeli mathematician, specializing in probability theory. Biography Zeitouni received his bachelor's degree in electrical engineering in 1980 from the Technion. He obtaine ...

, 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. She developed the analysis of Dyson-Schwinger equations to obtain topological asymptotic expansions, and studied changes in beta-models and random tilings. In collaboration with

Alessio Figalli Alessio Figalli (; born 2 April 1984) is an Italian mathematician working primarily on calculus of variations and partial differential equations. He was awarded the Prix and in 2012, the EMS Prize in 2012, the Stampacchia Medal in 2015, the ...

, 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, building with Vaughan Jones and Dimitri Shlyakhtenko a round of subfactors from planar algebras of any index, and establishing isomorphisms between the algebras of von Neumann generated by q-Gaussian variables by constructing free transport.

Distinctions

The

Mathematical Research Institute of Oberwolfach The Oberwolfach Research Institute for Mathematics (german: Mathematisches Forschungsinstitut Oberwolfach) is a center for mathematical research in Oberwolfach, Germany. It was founded by mathematician Wilhelm Süss in 1944. It organizes weekl ...

awarded her the

Oberwolfach Prize The Oberwolfach Research Institute for Mathematics (german: Mathematisches Forschungsinstitut Oberwolfach) is a center for mathematical research in Oberwolfach, Germany. It was founded by mathematician Wilhelm Süss in 1944. It organizes weekl ...

in 1998. In 2003 she was awarded the

Rollo Davidson Prize The Rollo Davidson Prize is a prize awarded annually to early-career probabilists by the Rollo Davidson trustees. It is named after English mathematician Rollo Davidson (1944–1970). Rollo Davidson Trust In 1970, Rollo Davidson, a Fellow-el ...

for her work in probability. In 2006, the

French Academy of Sciences The French Academy of Sciences (French: ''Académie des sciences'') is a learned society, founded in 1666 by Louis XIV of France, Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French Scientific me ...

awarded her the

Prix Paul Doistau–Émile Blutet The Prix Paul Doistau–Émile Blutet is a biennial prize awarded by the French Academy of Sciences in the fields of mathematics and physical sciences since 1954. Each recipient receives 3000 euros. The prize is also awarded quadrennially in bio ...

. For her contributions, she won the 2009 Loève Prize. In 2012 she became a

Simons Investigator The Simons Foundation is a private foundation established in 1994 by Marilyn and Jim Simons with offices in New York City. As one of the largest charitable organizations in the US with assets of over $5 billion in 2022, the foundation's mission ...

. She was elected to the

in 2017. She is also a Fellow of the

Institute of Mathematical Statistics The Institute of Mathematical Statistics is an international professional and scholarly society devoted to the development, dissemination, and application of statistics and probability. The Institute currently has about 4,000 members in all parts o ...

. Guinnet is the 2018 winner of the Blaise Pascal Medal in Mathematics of the European Academy of Sciences. She became a member of the

Academia Europaea The Academia Europaea is a pan-European Academy of Humanities, Letters, Law, and Sciences. The Academia was founded in 1988 as a functioning Europe-wide Academy that encompasses all fields of scholarly inquiry. It acts as co-ordinator of Europea ...

in 2017. She has been a Knight of the

Legion of Honour The National Order of the Legion of Honour (french: Ordre national de la Légion d'honneur), formerly the Royal Order of the Legion of Honour ('), is the highest French order of merit, both military and civil. Established in 1802 by Napoleon, ...

since 2012. In 2022 she was elected as an international member to the

National Academy of Sciences The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the Nati ...

(NAS) and International Honorary Member of the

American Academy of Arts and Sciences The American Academy of Arts and Sciences (abbreviation: AAA&S) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and ...

(AAAS).

Publications

* with Greg W. Anderson and

, ''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 In physics, Langevin dynamics is an approach to the mathematical modeling of the dynamics of molecular systems. It was originally developed by French physicist Paul Langevin. The approach is characterized by the use of simplified models while acco ...

spin glass In condensed matter physics, a spin glass is a magnetic state characterized by randomness, besides cooperative behavior in freezing of spins at a temperature called 'freezing temperature' ''Tf''. In ferromagnetic solids, component atoms' magne ...

'') *''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

External links

Website at ENS Lyon
{{DEFAULTSORT:Guionnet, Alice 1969 births Living people French mathematicians Women mathematicians University of Paris alumni Probability theorists Simons Investigator Prix Paul Doistau–Émile Blutet laureates Fellows of the Institute of Mathematical Statistics Members of Academia Europaea Annals of Probability editors