Below is a list of the latest articles published by the members of our group. You may retrieve a copy, usually in PostScript format, by clicking the name of the corresponding article. Some of us also maintain a personal list on their homepages: Antti Kupiainen , Alain Schenkel , Paolo Muratore-Ginanneschi .
Renormalizing partial differential equations Renormalization group and asymptotics of solutions of nonlinear parabolic equations Universality in blow-up for nonlinear heat equations Stability of moving fronts in the Ginzburg-Landau equation Coupled analytic maps Anomalous scaling of the passive scalar High temperature expansions and dynamical systems Global large time self-similarity of a thermal-diffusive combustion system with critical nonlinearity Anomalous scaling in the N-point functions of passive scalar Stable non-Gaussian diffusive profiles Universality in turbulence: an exactly solvable model Infinite dimensional SRB measures Slow modes in passive advection Renormalization group pathologies and the definition of Gibbs states The spectrum of weakly coupled map lattices Some mathematical problems of passive advection
Stability of Cahn-Hilliard fronts KAM theorem and quantum field theory Probabilistic estimates for the Two Dimensional Stochastic Navier-Stokes Equations Ergodicity of the 2d Navier-Stokes equation with random forcing Renormalizing the Renormalization Group Pathologies Exponential Mixing of the 2D Stochastic Navier-Stokes Dynamics Marta Chaves, Krzysztof Gawedzki, Peter Horvai, Antti Kupiainen, Massimo Vergassola; Lagrangian dispersion in Gaussian self-similar ensembles , Journal of Statistical Physics 113(5): 643-692; 2003 (also: nlin.CD/0303031 )
Timo Korvola, Antti Kupiainen, Jari Taskinen; Anomalous Scaling of 3d Cahn-Hilliard Fronts . Comm. Pure. Appl. Math. 58 : 1077-1115, (2005) (also: math-ph/0402026 )
F. Bonetto, A. Kupiainen, J. Lebowitz; Absolute continuity of projected SRB measures of coupled Arnold cat map lattices Ergodic Theory and Dynamical Systems , 25 : 59-88, (2005) (also: nlin.CD/0310009 )
