Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.

Dynamics of flows and maps (continuous and discrete time), including topological dynamics, low-dimensional dynamics, complex dynamics, hyperbolic dynamics, including nonuniform hyperbolicity, ergodic theory, Hamiltonian dynamics, bifurcation theory, normal forms, symbolic dynamics, algebraic dynamics, dimension theory, thermodynamic formalism, multifractal analysis, classical mechanics, including infinite-dimensional dynamics (functional equations, delay differential equations).