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"
Le mot "random" vient d'un terme de vènerie français : randon désigne la course erratique du cerf qui zigzague en essayant d'échapper aux chiens. Le mot a aussi donné « randonnée » en français.
Membre junior de l'Institut Universitaire de France (2013-2018) (lien)
Professeur Chargé de Cours à l'Ecole Polytechnique (2012-) (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)
Stochastic analysis, Statistical mechanics.
Past Ph. D. students: Khalil Chouk (PhD 2013), Rémi Catellier (PhD 2014).
Current Ph. D. students: Marco Furlan.
Associate Editor for EJP/ECP (link)
Associate Editor for DCDS-A (link)
Past member of the Evaluation Group for Mathematics and Statistics of the NSERC [2011-2014] (link)
Workshop "Rough paths and SPDEs" April 6th-7th, 2010. Newton Institute. Cambdrige (link)
Workshop "Rough paths in interaction" June 10th-11th, 2010. Institut Henri Poincaré. Paris (link)
Workshop "Rough Paths and PDEs" August 19th-25th, 2012. Mathematisches Forschungsinstitut Oberwolfach. (link)
Workshop "Rough Paths: Theory and Applications", IPAM -- UCLA, USA, 2013. (link)
Workshop "Stochastic Systems Simulation and Control 2015", ICMS -- Edinburgh, UK, 2015. (link)
Workshop "Rough Paths, Regularity Structures and Related Topics" Mathematisches Forschungsinstitut Oberwolfach, 2016. (link)
CIME Summer school "Singular random dynamics", Cetraro, Italy, 2016.
Unbounded rough drivers (2015) (arXiv)
A Fourier approach to pathwise stochastic integration (2014) (arXiv)
Rough sheets (2014) (arXiv)
Nonlinear PDEs with modulated dispersion II: Korteweg--de Vries equation (2014) (arXiv)
Nonlinear PDEs with modulated dispersion I: Nonlinear Schrödinger equations (2014) (arXiv)
Controlled viscosity solutions of fully nonlinear rough PDEs (2014) (arXiv)
Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness (2014) (arXiv)
Paraproducts, rough paths and controlled distributions (2014) (arXiv)
On the regularization of ODEs via irregular pertubations (2014) (arXiv)
F. Flandoli, M. Gubinelli and E. Priola. Remarks on the stochastic transport equation with Hölder drift. Rend. Sem. Mat. Torino. 70 (2012) 53-73. (2013) (arXiv)
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)
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)
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)
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)
F. Flandoli, M. Gubinelli, Random currents and probabilistic models of vortex filaments, Proceedings of the 4th Ascona Conference on Stochastic Analysis and Applications, (2004)
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)
F. Flandoli, M. Giaquinta, M. Gubinelli and V. M. Tortorelli, On a relation between stochastic integration and geometric measure theory (2002) (arXiv)
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)
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.