Mathematical Physics Publications
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, Jani Lukkarinen, Konstantin Izyurov and 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)