Computer Science/Discrete Mathematics Seminar I | |

Topic: | An isoperimetric inequality for the Hamming cube and some consequences |

Speaker: | Jinyoung Park |

Affiliation: | Rutgers University |

Date: | Monday, November 18 |

Time/Room: | 11:00am - 12:00pm/Simonyi Hall 101 |

Video Link: | https://video.ias.edu/csdm/2019/1118-JinyoungPark |

I will introduce an isoperimetric inequality for the Hamming cube and some of its applications. The applications include a “stability” version of Harper’s edge-isoperimetric inequality, which was first proved by Friedgut, Kalai and Naor for half cubes, and later by Ellis for subsets of any size. Our inequality also plays a key role in a recent result on the asymptotic number of maximal independent sets in the cube. This is joint work with Jeff Kahn.