Berlin 2015 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 58: Poster - Fluids

DY 58.3: Poster

Donnerstag, 19. März 2015, 16:00–18:00, Poster A

Bernoulli bond percolation on random recursive trees — •Rüdiger Kürsten — Institut für Theoretische Physik, Universität Leipzig, Brüderstr. 16 D-04103 Leipzig

Random recursive trees are obtained from a root node by repeatedly attaching nodes randomly to one of the existing nodes. We use a stochastic coupling to obtain some exact results for Bernoulli bond percolation on random recursive trees of fixed size. We obtain among other things the expectation value of the root cluster size, of the number of nodes in the n-th gerneration clusters and the number of clusters of size one. Some combined limits of system size and percolation probability are considered and compared to previous work.