Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Thursday, March 07, 2013, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Ueli Peter

Fast Simulation of the IDLA Process

The internal diffusion limited aggregation (IDLA) process places n particles one after another on the two dimensional integer grid Z². Every particle starts a random walk at (0,0) and remains at the first unoccupied grid position that it hits. The expected running time of a straightforward step-by-step simulation is \Theta(n²). Recently, Friedrich and Levine described an algorithm that samples from all possible outcomes of the IDLA process with the correct distribution and has an expected running time of O(n^3/2). We improve on their result by presenting an algorithm that has an expected running time of O(n\log² n). This is joint work with Karl Bringmann, Fabian Kuhn, Konstantinos Panagiotou and Henning Thomas.

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