Omer Adelman (U. Paris 6)

will speak on

Polya urns and the topology of some random sets in d-space.

Abstract:

Here is a "typical" situation. Let (X_n) be a random walk in R^d, let A_n be iid random subsets of R^d, independent of X. Set B = union of (A_n + X_n). What is the probability that B be arcwise connected ? How does the answer depend on the law of (X, A) ? How do Polya urns help ?

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Last update on 20/10/02.