Professor Norbert Peyerimhoff's Outputs (2)

Random Schroedinger operators on manifolds (2003)
Journal Article
Lenz, D., Peyerimhoff, N., & Veselic, I. (2003). Random Schroedinger operators on manifolds. Markov processes and related fields, 9, 717-728

We consider a random family of Schroedinger operators on a cover of a compact Riemannian manifold. We present several results on their spectral theory, in particular almost sure constancy of th spectral components and existence and non-randomness of... Read More about Random Schroedinger operators on manifolds.

The dynamics of magnetic flows for energies above Mane's critical value (2003)
Journal Article
Peyerimhoff, N., & Siburg, K. (2003). The dynamics of magnetic flows for energies above Mane's critical value. Israel Journal of Mathematics, 135, 269-298

We show that, for energies above Mane's critical value, minimal magnetic geodesics are Riemannian (A,0)-quasi-geodesics where A -> 1 as the energy tends to infinity. As a consequence, on negatively curved manifolds, minimal magnetic geodesics lie in... Read More about The dynamics of magnetic flows for energies above Mane's critical value.