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Jérémie Unterberger

Télécharger CV

I am currently assistant professor at the maths institute  IECL (Institut Elie Cartan de Lorraine), in the Probability and Statistics team.

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My research interests include constructive field theory (rigorous renormalization techniques), mathematical physics, statistical physics, stochastic calculus, random matrix theory, and

Darwinian evolution theory.

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Projects:

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â—‹ ERC AbioEvo (2020-25) : conditions for the
emergence of evolution during abiogenesis

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â—‹ METALORIGIN (2023, financement INSU): le métal des météorites,  moteur de l’évolution abiotique de
la matière organique complexe des surfaces planétaires primitives

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Former projects:

â—‹ ANR SINGULAR (2017-2021) on singular stochastic PDEs and renormalization

â—‹ GDR RENORM on algebraic, analytic and geometric aspects of renormalization

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Selection of significant articles:

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â—‹ Autocatalysis in kinetic chemical networks and origin of life:

      Stoechiometric and dynamical autocatalysis for diluted chemical reaction networks, J. Math. Biol. (2002)     pdf

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â—‹ Large-scale fluctuations for a generalized random matrix dynamics:

     Global fluctuations for log-gas dynamics,  Stoch. Proc. Appl.  (2018)     pdf

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â—‹ Large-scale diffusive limit of KPZ equation through constructive renormalization techniques:

     The scaling limit of the KPZ equation in dimension 3 and higher, J. Stat. Phys. (2018).     pdf

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â—‹ with J. Magnen: singular stochastic calculus by renormalization techniques,

   From constructive field theory to fractional stochastic calculus. (II) Constructive proof of convergence for the Lévy area

    of  fractional Brownian motion with Hurst index $\alpha\in(1/8,1/4)$, Ann. H. Poincaré (2011).     pdf

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â—‹ Fourier-normal ordering "para-product" technique for arbitrary rough paths (Comm. Math. Phys, 2010),

     Hölder-continuous rough paths by Fourier normal ordering.       pdf

                                                                                                             

â—‹  and the Springer book (in collaboration with C. Roger, foreword by M. Henkel) : 
     
The Schrödinger-Virasoro algebra. Mathematical structure and dynamical Schrödinger symmetries

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