Webpage of Marie Théret

	Laboratoire Modal'X Université Paris Nanterre Postal address: Université Paris Nanterre UFR SEGMI 200 avenue de la République 92001 Nanterre Cedex France Office: Building Allais (G) Entresol, office E12 E-mail: marie.theret AT parisnanterre.fr Phone: 01 40 97 78 38

Version française de ce site.

Curriculum Vitae

A complete version of my CV (in French, made in 2024/02).

Past and current positions

• 2018/… : Professor, Modal'X (UMR 9023), Université Paris Nanterre ;
• 2010/2018 : Assistant Professor, team Random Structures and Models of the LPSM (former LPMA, UMR 8001),Université Paris Diderot;
• 2006/2010 : Teaching assistant (caïman), DMA, ENS Paris;
• 2002/2006 : Student at the ENS Paris.

Projects

• I am a member of the RT MAIAGES.

Research

Research interest

Statistical mechanics:

• First passage percolation, study of the maximal flow in this model
• Large deviations
• Shape theorem
• Continuity of the time constant
• Contact process
• Boolean model.

Publications

• First-order behavior of the time constant in non-isotropic continuous first-passage percolation, with Anne-Laure Basdevant and Jean-Baptiste Gouéré, 41 pages (2024).
• Large deviation principle for the cutsets and lower large deviation principle for the maximal flow in first passage percolation, with Barbara Dembin, 65 pages (2021).
• Large deviation principle for the streams and the maximal flow in first passage percolation, with Barbara Dembin, 99 pages (2020).

• First-order behavior of the time constant in Bernoulli first-passage percolation, with Anne-Laure Basdevant and Jean-Baptiste Gouéré, Annals of Applied Probability 32 (2022), no.6, 4535-4567.
• Continuity of the time constant in a continuous model of first passage percolation, with Jean-Baptiste Gouéré, 39 pages (2020), Annales de l'Institut Henri Poincaré : Probabilités et statistiques, Vol. 58, No. 4 (2022), 1900-1941.
• Size of a minimal cutset in supercritical first passage percolation, with Barbara Dembin, Annales de l'Institut Henri Poincaré : Probabilités et statistiques, Vol. 56, No. 2 (2020), 1419-1439.
• Transition de phase abrupte en percolation via des algorithmes randomisés [d'après Duminil-Copin, Raoufi et Tassion], Séminaire Bourbaki Volume 2018/2019, Exp. No 1162 ; Astérisque 422 (2020), 415-435.
• Equivalence of some subcritical properties in continuum percolation, with Jean-Baptiste Gouéré, Bernoulli 25(4B) (2019), 3714-3733.
• Existence and continuity of the flow constant in first passage percolation, with Raphaël Rossignol, Electronic Journal of Probability 23 (2018), no.99, 1-42.
• Positivity of the time constant in a continuous model of first passage percolation, with Jean-Baptiste Gouéré, Electronic Journal of Probability 22 (2017), no.49, 1-21.
• Continuity of the time and isoperimetric constants in supercritical percolation, with Olivier Garet, Régine Marchand and Eviatar B. Procaccia, Electronic Journal of Probability 22 (2017), no.78, 1-35.
• Weak shape theorem in first passage percolation with infinite passage times, with Raphaël Cerf, Annales de l'Institut Henri Poincaré : Probabilités et statistiques 52 (2016), no.3, 1351-1381.
• Continuity of the asymptotic shape of the supercritical contact process, with Olivier Garet and Régine Marchand, Electronic Communications in Probability 20 (2015), no.92, 11 pp.
• Maximal stream and minimal cutset for first passage percolation through a domain of R^d, with Raphaël Cerf, Annals of Probability 42 (2014), No. 3, 1054-1120.
• Upper large deviations for maximal flows through a tilted cylinder, ESAIM : Probability and Statistics 18 (2014), 117-129.
• Lower large deviations for the maximal flow through tilted cylinders in two-dimensional first passage percolation, with Raphaël Rossignol, ESAIM : Probability and Statistics 17 (2013), 70-104.
• Upper large deviations for the maximal flow through a domain of R^d in first passage percolation, with Raphaël Cerf, Annals of Applied Probability 21 (2011), no.6, 2075-2108.
• Law of large numbers for the maximal flow through a domain of R^d in first passage percolation, with Raphaël Cerf, Transactions of the American Mathematical Society 363 (2011), no.7, 3665-3702.
• Lower large deviations for the maximal flow through a domain of R^d in first passage percolation, with Raphaël Cerf, Probability Theory and Related Fields 150 (2011), 635-661.
• Lower large deviations and laws of large numbers for maximal flows through a box in first passage percolation, with Raphaël Rossignol, Annales de l'Institut Henri Poincaré : Probabilités et statistiques 46 (2010), no.4, 1093-1131.
• Law of large numbers for the maximal flow through tilted cylinders in two-dimensional first passage percolation, with Raphaël Rossignol, Stochastic Processes and their Applications 120 (2010), 873-900.
• On the small maximal flows in first passage percolation, Les Annales de la Faculté des Sciences de Toulouse. Mathématiques (6) 17 (2008), no.1, 207-219.
• Upper large deviations for the maximal flow in first passage percolation, Stochastic Processes and their Applications 117 (2007), no.9, 1208-1233.

I had the pleasure to work with Anne-Laure Basdevant, Raphaël Cerf, Barbara Dembin, Olivier Garet, Jean-Baptiste Gouéré, Régine Marchand, Eviatar B. Procaccia and Raphaël Rossignol.

Reports

HDR
Location: Université Paris Diderot;
Defense: November 2016.

Phd thesis
Advisor: Raphaël Cerf;
Location: Département de Mathématiques d'Orsay (Paris 11);
Defense: June 2009.

PhD Student

• 2017/2020 : Barbara Dembin, "Percolation and first passage percolation : isoperimetric, time and flow constants". Barbara Dembin is one of the 4 laureates of the "Séphora Berrebi Scholarships for Women in Advanced Mathematics & Computer Science" in 2019. She is also one of the 2 laureates of the "prix de thèse Jacques Neveu" (SMAI) in 2020. After a post-doc position at the ETH in Zürich, she is now CNRS researcher at IRMA (University of Strasbourg).

• 2022-... : Julien Verges, co-advisor Jean-Baptiste Gouéré (Institut Denis Poisson, Université de Tours).

Teaching

2018/...

Department of mathematics and computer sciences, UFR SEGMI, University Paris Nanterre :

• Course and tutorials, L1/L2 Economie (Analysis, Probability, Statistics)
• Course and tutorials, L3 MIASHS (Probability, Statistics)

Before

Departement of mathematics, University Paris Diderot (2010/2018) :

• 2014/2018 : In charge of the L3 MIASHS.
• 2015/2018 : Tutorials for the "Préparation à l'agrégation externe".
• 2013/2018 : Course "Probability" for the "Préparation à l'agrégation externe".
• 2010/2014 : Tutorials of the course "Probability 1" (1st semester of M1, Mathematics, Université Paris Diderot).
• 2010/2013 : Tutorials of the course "Integration and probability" (2nd semester of L3, Mathematics, Université Paris Diderot).

DMA, ENS Paris (2006/2010) :

• Tutorials of the course "Stochastic processes" (M1, Mathematics).
• Some scientific and administrative tasks (see my complete CV in french).

FP2M

Popularisation of mathematics

• 2013/2018 : in charge of the popular mathematics events at the University Paris Diderot with Mathilde Herblot, together with Frédérique Petit, Marco Maculan, Razvan Barbulescu and Camille Laurent at Sorbonne Université. See the website.

• An article on percolation in Mathématiques : l'explosion continue published by the SMF (2013).

• An article on the Ising model in Image des Maths (2014).

• The slides of a talk at the Mathematic Park in March 2016.

• The slides of a talk for "Filles, maths et informatique : une équation lumineuse" in December 2016 (to read videos, you can use Adobe Acrobat Reader).

• A talk given at the Bibliothèque Nationale de France in 2022 in the seminar "Un texte, un mathématicien" organized with the SMF, entitled "Hammersley, feux de forêt, porosité et réseaux".