Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, May 27, 2010, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Augusto Teixeira (D-MATH)

Random graphs left by a random walk

In this talk we consider a class of random graphs defined in terms of random walk trajectories. More precisely, consider a growing sequence of finite graphs G_n and a random walk running on each of them up to a specific given time. The set of sites not visited by the random walk (called the vacant set) is a random subgraph of G_n. In this talk we investigate the percolative properties of this random vacant set for some sequences G_n. This model undergoes a phase transition that resembles the one observed in Erdős-Rényi graphs and other percolative systems.

Joint work with J. Černý and D. Windisch.

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