Regensburg 2013 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 31: Anomalous Diffusion

DY 31.6: Vortrag

Donnerstag, 14. März 2013, 16:15–16:30, H48

Geometric properties of continuous time random walks — •Mirko Lukovic, Theo Geisel, and Stephan Eule — MPI for Dynamics and Self-organization, Goettingen, Germany

We investigate the geometric properties of two-dimensional continuous time random walks. In particular, we determine analytical expressions for the time-evolution of the average perimeter and area of convex hulls of non-Markovian processes such as subordinated random walks and Lévy flights. A convex hull is the minimum convex polygon enclosing a set of monitored points and it proves to be very useful when it comes to estimating the home-range of foraging animals.