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Jérémie Unterberger

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

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

Main current research subjects:

○ Origin of life : from chemistry to biology through a systemic approach

○ Climate and energy transition : prospective for the 21st century

Projects:

○ PEPR Origins (2022-29): from planet formation to origin of life

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

Former projects:

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

○ ANR SINGULAR (2017-2021) on singular stochastic PDEs and renormalization

○ GDR RENORM on algebraic, analytic and geometric aspects of renormalization

Selection of significant articles:

○ Autocatalysis in kinetic chemical networks and origin of life:

Stoechiometric and dynamical autocatalysis for diluted chemical reaction networks, J. Math. Biol. (2022) pdf

○ Large-scale fluctuations for a generalized random matrix dynamics:

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

○ 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

○ 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

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

Hölder-continuous rough paths by Fourier normal ordering. pdf

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

Tous les documents (textes et images) figurant sur ce site sont la propriété de leurs auteurs. Reproductions et réutilisation soumises à autorisation préalable.