Ageing in the parabolic Anderson model (2009)
Mörters, Peter, Ortgiese, Marcel, Sidorova, Nadia
The parabolic Anderson model is the Cauchy problem for the heat equation with a random potential. We consider this model in a setting which is continuous in time and discrete in space, and focus on...
Minimal supporting subtrees for the free energy of polymers on disordered trees (2008)
Morters, Peter, Ortgiese, Marcel
We consider a model of directed polymers on a regular tree with a disorder given by independent, identically distributed weights attached to the vertices. For suitable weight distributions this model...
Minimal supporting subtrees for the free energy of polymers on disordered trees (2008)
Morters, Peter, Ortgiese, Marcel
We consider a model of directed polymers on a regular tree with a disorder given by independent, identically distributed weights attached to the vertices. For suitable weight distributions this model...
Small value probabilities via the branching tree heuristic (2008)
Peter Mörters, Marcel Ortgiese
Abstract: In the first part of this paper we give easy and intuitive proofs for the small value probabilities of the martingale limit of a supercritical Galton-Watson process in both the Schröder...
Small value probabilities via the branching tree heuristic (2007)
Morters, Peter, Ortgiese, Marcel
In the first part of this paper we give easy and intuitive proofs for the small value probabilities of the martingale limit of a supercritical Galton-Watson process in both the Schr\"oder and the...