Dynamical Systems and Ergodic Theory.
Current Research Topics:
1. Derivatives of Sinai-Ruelle-Bowen measures for lattice
systems.
2. Infimum of Entropy of Uniformly Hyperbolic Systems.
3. Spatially Averaged Lyapunov exponents of coupled map lattices.
Past major research topics:
1. Thermodynamic formalism of lattice dynamical systems
2. Potential functions and Derivatives of Sinai-Ruelle-Bowen measures
3. Sinai-Ruelle-Bowen Measures for Coupled Map Lattices: Existence,
Uniqueness,
Finite-Dimensional Approximations, smooth dependence,
entropy formula.
4. Dynamics of Spatial Averages
5. Existence of Silnikov-Hopf bifurcation in a 3D system modeling thermal
instability
6. Integrability of intermediate distributions for Anosov diffeomorphisms
Lists of Publications and Preprints is available