Date | Sep 15, 2021 |
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Speaker | 류한백 |

Dept. | University of Wisconsin-Madison |

Room | 선택 |

Time | 10:00-11:00 |

Uniform random contingency tables nonnegative integer matrices of a given size, chosen uniformly at random given some fixed marginals. They also correspond to uniform random bipartite graphs with give degree sequences. In this talk, we develop a limit theory of uniform contingency tables when the marginals converge empirically to some fixed continuous margins on the unit interval as . We show that the uniform contingency tables are exponentially concentrated and converge weakly to a deterministic joint distribution on the unit square, which is characterized as the unique solution of some associated convex optimization problem.

This is a joint work with Sumit Muhkerjee.

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