- Dynamics in random networks
- Random Lotka-Volterra maps. Transition to chaos in random ecological networks.
- Random oscillator networks. Transition to chaos in random networks of frequency modulated oscillators.

- Game theory
- The tempted sentinel game. A game theoretic model of alarm calling.

- Tilings and 3-colorings
- Random rhombus tilings. Arctic behavior, i.e. macroscopic effects caused by boundary conditions, in random tilings.
- 3-coloring of the square and cubic lattice. Arctic behavior, i.e. macroscopic effects caused by boundary conditions, in random 3-colorings.