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From trees to seeds: on the inference of the seed from large random trees

Mathematical Physics & Probability

Speaker: Miklos Racz, UC Berkeley
Location: 1147 MSB
Start time: Wed, Nov 5 2014, 4:10PM

I will discuss the influence of the seed in models of randomly growing trees; in particular, I will focus on the preferential attachment and uniform attachment models. In both of these models, different seeds lead to different distributions of limiting trees from a total variation point of view. I will discuss the differences and similarities in proving this for the two models. This is based on joint work with Sebastien Bubeck, Ronen Eldan, and Elchanan Mossel.