Research Interests

My main interest is Hamiltonian dynamics. 

My research concentrates on topological entropy - a numeric invariant that measures how chaotic a dynamical system is. For Hamiltonian or Reeb flows, one can employ the theory of pseudoholomorphic curves to study this invariant. In particular, I am interested in lower bounds. In my projects I have used Floer homologies approach to show that topological entropy is robust under perturbations. In the newest project with M. Alves, M. Meiwes and A. Pirnapasov, we manage to show that in 3 dimensions, topological entropy is generically lower semi-continuous. 

Besides this, I am also interested in sub-Riemannian geometry (in particular, with A. del Pino I have introduced Billiards in this setting) and Lorentz geometry (with L. Jin I found a counter example to the Borde-Sorkin conjecture).

Please contact me by email: l.dahinden  AT  uu.nl