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Tutte Colloquium - Jane GaoExport this event to calendar

Friday, February 8, 2019 — 3:30 PM EST

Title: The rank of random matrices over finite fields

Speaker: Jane Gao
Affiliation: University of Waterloo
Room: MC 5501

Abstract:

We determine the rank of a random matrix over a finite field with prescribed numbers of non-zero entries in each row and column. As an application we obtain a formula for the rate of low-density parity check codes. The proofs are based on the Aizenman-Sims-Starr coupling arguments from mathematical physics.

This work is a collaboration with A. Coja-Oghlan.

Location 
MC - Mathematics & Computer Building
5501
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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