Jérémie Unterberger

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

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

 

 

Projects:

 

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

GDR RENORM on algebraic, analytic and geometric aspects of renormalization

Upcoming event:

Workshop Quantum field theory, renormalization and stochastic partial differential equations

Newton Institute, Cambridge

22 oct./26 oct. 2018

Journées IRMAR (Rennes), Workshop on Algebraic & Analytic methods in Classical & Quantum integrable systems

5 déc./7 déc. 2018

Workshop Inhomogeneous Random Systems (Institut Henri Poincaré). Quantum dynamics in and out of equilibrium, Large scale description of random fields: interfaces between PDE and RG approaches

22-23 janv. 2019

Workshop Paths between Probability, PDEs, and Physics (Imperial College, London)

1 juil./5 juil. 2019

Selection of significant articles:

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

     Global fluctuations for log-gas dynamics, to appear at: Stoch. Proc. Appl.     pdf

○ Large-scale diffusive limit of KPZ equation through constructive renormalization techniques:

     The scaling limit of the KPZ equation in dimension 3 and higher, to appear at: J. Stat. Phys.    pdf

in collaboration with J. Magnen:

        singular stochastic calculus by renormalization techniques (Ann. H. Poincaré, 2011),

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

    of  fractional Brownian motion with Hurst index $\alpha\in(1/8,1/4)$.     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.

This site was designed with the
.com
website builder. Create your website today.
Start Now