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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Statistics Seminars: Random Permutations with Nonuniform Distributions

Presented by Daniel Ueltschi , Department of Mathematics, University of Warwick

4 May 2010 14:15 in E101

I will discuss various models of random permutations with nonuniform
distributions. One model involves weights that depend on the cycle
structure of the permutation. The other models deal with permutations
of points in space, and there is an additional weight that involves the
length of permutation jumps. The main question is about the possible
occurrence of infinite cycles at high enough density. These models of
random permutations are motivated by quantum statistical mechanics
and by mathematical biology. (This is joint work with V. Betz and
Y. Velenik.)

Host: Ostap Hryniv

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