Martin Kolb: Research

Phd-thesis

On the Large Time Behaviour of Diffusions - Results Between Analysis and Probability. (TU-Kaiserslautern)

1. Referee: Heinrich von Weizsäcker
2. Referee: Carl Mueller

Current Research Interests:

Probability Theory:

- Asymptotics of Markov Processes, in particular of Diffusions and Superprocesses

- Applications to Biology and Mathematical Physics

Current Research Projects:

with Detlef Dürr and Günter Hinrichs :
On the high intensity limit of the GRW-model
in preparation

with Achim Wübker:
Brownian motion in twisted Dirichlet-Neumann tubes
in preparation

with Achim Wübker:
Spectral Analysis of Diffusions with jump boundary
in preparation

Quasistationary distibutions for one-dimensional diffusions with two singular boundaries
in preparation

with Detlef Dürr and Robert Grummt
On the Time-Dependent Analysis of Gamow Decay
submitted

with Achim Wübker:
On the spectral gap of Brownian motion with jump boundary
submitted

with Robert Grummt:
Large time behavior of the two dimensional Super-Brownian motion with a single point source
submitted

Essential Selfadjointness of singular magnetic Schrödinger operators on Riemannian manifolds
submitted

Publications:

On the strong uniqueness of some finite dimensional Dirichlet operators.
Infin. Dimens. Anal. Quantum Probab. Relat. Top. 11 (2008), 279--293.

with Angelo Bassi and Detlef Dürr:
On the long time behavior of free stochastic Schrödinger evolutions
Rev. Math. Phys. 22 (2010), 55--89

with Detlef Dürr, Tilo Moser and Sarah Römer:
On the Quantum-mechanical Scattering Statistics of Many Particles
Letters in Mathematical Physics, 93 (2010), 253-266
with David Steinsaltz:
Quasilimiting behavior of one-dimensional diffusions with killing
to appear in The Annals of Probability