Massimiliano Gubinelli
Professeur
CEREMADE - UMR CNRS 7534
Université Paris Dauphine
Bureau C604
Place du Maréchal De Lattre De Tassigny
75775 PARIS cedex 16
tel. : +33 1 44 05 48 68
email : prenom dot nom at ceremade dot dauphine dot fr
google scholar (url) arXiv (url)

What is a businessman? Someone who does business? Not quite. It is someone who sees opportunities for doing business when others might miss them. A mathematician is someone who sees opportunities for doing mathematics.

Ian Stewart, "Letters to a Young Mathematician"



Membre junior de l'Institut Universitaire de France (2013-2018) (lien)

Professeur Chargé de Cours (temps partiel) à l'Ecole Polytechnique (lien)

Responsable du Master 1 de Mathématiques de la Modélisation et la Decision (MMD) du Département MIDO (lien)

Responsable du Programme Doctoral de Mathématique, Ecole Doctorale de Dauphine (lien)

Membre du Conseil des Ètudes et de la Vie Universitaire (lien)

Enseignement (in french)

Cours et al.

Presentation du Master 1 MMD (2013/2014) (pdf)

Research

Stochastic analysis, Statistical mechanics.

Current Ph. D. students: Khalil Chouk, Rémi Catellier.

Associate Editor for EJP/ECP (link)

Member of the Evaluation Group for Mathematics and Statistics of the NSERC (link)

Coorganiser of the workshop "Rough paths and SPDEs" April 6th-7th, 2010. Newton Institute. Cambdrige (link)

Coorganiser of the workshop "Rough paths in interaction" June 10th-11th, 2010. Institut Henri Poincaré. Paris (link)

Coorganiser of the workshop "Rough Paths and PDEs" August 19th-25th, 2012. Mathematisches Forschungsinstitut Oberwolfach. (link)

Recent and forthcoming talks

December 4th-6th, 2012. Minicourse "Controlled paths and applications". Berlin.

February 25th, 2013. Talk "Paracontrolled distributions and the KPZ equation". Ecole Normale Supérieure. Paris.

March 18th, 2013. Colloquium "Applications of controlled paths". Département de Mathématiques, Nice.

Preprints

Ultraviolet Renormalization of the Nelson Hamiltonian through Functional Integration with F. Hiroshima and J. Lorinczi (2013) (arXiv)

Nonlinear PDEs with modulated dispersion with K. Chouk. (2013) (arXiv)

Remarks on the stochastic transport equation with Hölder drift with F. Flandoli and E. Priola. (2013) (arXiv)

Paraproducts, rough paths and controlled distributions with P. Imkeller and N. Perkowski (2012) (arXiv)

On the regularization of ODEs via irregular pertubations with R. Catellier (2012) (arXiv)

Publications

Mathematics

Z. Brzezniak, M. Gubinelli and M. Neklyudov. Global evolution of random vortex filament equation. Nonlinearity 26 (2013) 2499. (arXiv) (doi)

M. Gubinelli and M. Jara. Regularization by noise and stochastic Burgers equations. SPDEs: Analysis and Computations. 1 (2013), pp. 325-350. (arXiv) (doi)

M. Gubinelli, Rough solutions of the periodic Korteweg-de Vries equation. Commun. Pure Appl. Anal. 11 (2012), pp. 709-733. (arXiv) (doi)

F. Flandoli, M. Gubinelli and E. Priola, Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations. Stochastic Process. Appl. 121 (2011), pp. 1445-1463. (arXiv) (doi)

A. Deya, M. Gubinelli and S. Tindel, Non-linear rough heat equations. Probability Theory and Related Fields 153 (2012) pp. 97-147. (arXiv) (doi)

M. Gubinelli, Abstract integration, Combinatorics of Trees and Differential Equations. Combinatorics and physics, 135-151, Contemp. Math., 539, Amer. Math. Soc., Providence, RI, 2011. (arXiv) (doi)

F. Caravenna, G. Giacomin and M. Gubinelli, Large scale behavior of semiflexible heteropolymers. Ann. Inst. H. Poincaré Probab. Statist. 46 (2010), pp. 97-118. (arXiv) (doi)

F. Flandoli, M. Gubinelli and E. Priola, Flow of diffeomorphisms for SDEs with unbounded Hölder continuous drift, Bull. Sci. Mat., to appear. (2010) (arXiv) (doi)

F. Flandoli, M. Gubinelli and E. Priola, Well-posedness of the transport equation by stochastic perturbation, Inv. Math.180 (2010), pp. 1-53. (arXiv) (doi)

M.Gubinelli and S. Tindel, Rough evolution equations, Ann. Prob. 38 (2010), pp. 1-75. (arXiv) (doi)

M. Gubinelli, Ramification of rough paths, J. Diff. Eq. 248 (2010), pp. 693-721. (arXiv) (doi)

M. Gubinelli and J. Lorinczi, Gibbs measures on Brownian currents, Comm. Pure Appl. Math. 62 (2009), pp. 1-56. (arXiv) (doi)

F. Flandoli, M. Gubinelli and F. Russo, On the regularity of stochastic currents, fractional Brownian motion and applications to a turbulence model, Ann. Inst. H. P 45 (2009), pp. 545-576. (arXiv) (doi)

F. Flandoli, M. Gubinelli, M. Hairer and M. Romito, Remarks on the K41 scaling law in turbulent fluids, Comm. Math. Phys. 278 (2008), pp. 1-29. (arXiv) (doi)

L. C. Berselli, M. Gubinelli, On the global evolution of vortex filaments, blobs and small loops in 3D ideal flows, Comm. Math. Phys. 269 (2007), pp. 693-713. (arXiv) (doi)

M. Gubinelli, Gibbs measures for self-interacting Wiener paths, Mark. Proc. Rel. Fields 12 (2006), pp. 747-766. (arXiv)

M. Gubinelli, Rooted trees for 3d Navier-Stokes equation, Dyn. Partial Differ. Equ. 3 (2006), pp. 161-172. (arXiv)

M. Gubinelli, A. Lejay, S. Tindel, Young integrals and SPDEs, Pot. Anal. 25 (2006) pp.307-326. (pdf) (doi)

F. Caravenna, G. Giacomin, M. Gubinelli, A numerical approach to copolymers at selective interfaces, J. Stat. Phys 122 (2006), pp. 799-832. (pdf) (doi)

F. Flandoli, M. Gubinelli, Statistics of a vortex filament model, Electr. Jour. Prob. 10(2005), pp. 865-900 (arXiv)

F. Flandoli, M. Giaquinta, M. Gubinelli and V. M. Tortorelli, Stochastic currents, Stoch. Proc. Appl. 155 (2005), pp. 1583-1601 (doi)

H. Bessaih, M. Gubinelli and F. Russo, The evolution of a random vortex filament, Ann. Prob. 33(2005) (arXiv) (doi)

M. Gubinelli, Controlling Rough Paths, J. Func. Anal., 216, pp. 86-140, (2004) (arXiv) (doi)

F. Flandoli, M. Gubinelli, Random currents and probabilistic models of vortex filaments, Proceedings of the 4th Ascona Conference on Stochastic Analysis and Applications, (2004)

F. Flandoli, M. Gubinelli, The Gibbs ensemble of a vortex filament, Prob. Th. Rel. Fields, 112 (2002) (arXiv) (doi)

Physics & others

S. Caracciolo, A. Gambassi, M. Gubinelli, A. Pelissetto, Critical Behavior of the Two-Dimensional Randomly Driven Lattice Gas. Phys. Rev. E, 72, pp. 056111.1-056111.4, (2005) (arXiv)

S. Giordano, M. Gubinelli, M. Pagano, Bridge Monte-Carlo: a novel approach to rare events of Gaussian processes, Proc. of the Fifth Workshop on Simulation, St. Petersburg (2005) (PDF)

S. Caracciolo, A. Gambassi, M. Gubinelli, A. Pelissetto, Reply to Comment to the letter "Transverse fluctuactions in the driven lattice gas", J. Phys. A, 37, pp. 8193-8195, (2004)

F. Gini, M. Greco, A. Farina, M. Gubinelli, Asymptotic Maximum Likelihood Estimation of Multiple Radar Targets, IEEE Radar Conference 2003, Huntsville, Alabama, USA (2003)

S. Caracciolo, A. Gambassi, M. Gubinelli, A. Pelissetto, Finite-Size Scaling in the Driven Lattice Gas, J. Stat. Phys., 115, pp. 281-322, (2004)

S. Caracciolo, A. Gambassi, M. Gubinelli, A. Pelissetto, Comment on "Dynamic Behavior of Anisotropic Nonequilibrium Driving Lattice Gases", Phys. Rev. Lett. (2004)

S. Caracciolo, A. Gambassi, M. Gubinelli, A. Pelissetto, Transverse fluctuactions in the driven lattice gas, J. Phys. A, 36, pp. L1-L6, (2003)

S. Caracciolo, A. Gambassi, M. Gubinelli e A. Pelissetto, Shape dependence of the finite-size scaling limit in a strongly anisotropic $O(infty)$ model, Eur. Phys. J. B, 34, pp. 205-217 (2003)

S. Caracciolo, A. Gambassi, M. Gubinelli, and A. Pelissetto, Finite-Size Correlation Length and Violations of Finite-Size Scaling, Eur. Phys. J. B 20 (2001)

M. Gubinelli, M. Sorel, O. Tonet, M. Atac, M. Mishina and J. Valles, Measurement of the rate capabilities of SSPMs, Nucl. Instr. and Meth. A, 412 (1998)

Unpublished papers

F. Flandoli, M. Giaquinta, M. Gubinelli and V. M. Tortorelli, On a relation between stochastic integration and geometric measure theory (2002) (arXiv)

Slides

Applications of controlled paths from a talk given at Nice in February 2013. (pdf)

Applications of controlled paths from a talk given at Oxford in September 2012. (pdf)

Controlled paths and regularization in (S)PDEs from a talk given at Cergy-Pontoise in January 2012. (pdf)

Regularization by oscillations from a talk given at the Conference " Evolution Equations: Randomness and Asymptotics", Bad Herrenalb (Germany), October 12nd, 2011. (pdf)

Regularization by oscillations from a talk given at the Seventh Seminar on Stochastic Analysis, Random Fields and Applications, Ascona (Switzerland), May 23 - 27, 2011. (pdf)

Rough paths in Spain from a talk given at the COCO 2010 final conference, Madrid. 22nd June 2010. (pdf)

Some infinite dimensional rough paths from a talk given at the Stochastic Analysis Seminar, Oxford-Man Institute, Oxford. 22nd February 2010. (pdf)

Some infinite dimensional rough paths from a talk given at the Minisimposium on Rough Path Theory, 5th European Congress of Mathematics, Amsterdam, July 2008. (pdf)

Stochastic transport equation and non-lipshitz SDEs from a talk given at the seminar on Random Problems in PDEs and large systems, CMAP-CMLS, Ecole Polytechnique, Palaiseau. (pdf)

Trees, rough integrals and differential equations from a talk given at the Conference on Combinatorics and Physics, March 19-23, 2007. Max-Plack Institure for Mathematics, Bonn. (pdf)

Explorations on rough paths from a talk given at the Fifth Seminar on Stochastic Analysis, Random Fields and Applications, Ascona (Switzerland), May 30 - June 3, 2005. (pdf)

Rough evolution equations from a talk given at the Mathematical Departement of the University of Warwick (UK), Oct. 24th, 2005. (pdf)

Vita

Laurea in Physics, Pisa 1998

Ph.D. in Theoretical Physics, Pisa 2003

Assistant Professor of Probability and Statistics
(Ricercatore - MAT/06). Dep. of Applied Mathematics, Università di Pisa, Italia. 2001-2006.

Assistant Professor of Probability and Statistics
(Maître de Conférences - Sect. 26) - Dep. Mathématiques, Université Paris Sud, France. 2006-2008.

Miscellanea

TeXmacs (url), TeXmacs icon proposals (url), TeXmacs website restyling (url)