Some Quick Formulas for the Volumes of and the Number of Integer Points in Higher-dimensional Polyhedra | Vidéo | Carmin.tv

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Some Quick Formulas for the Volumes of and the Number of Integer Points in Higher-dimensional Polyhedra

By Alexander Barvinok

Appears in collection : Representations, Probability, and Beyond : A Journey into Anatoly Vershik’s World

In this talk, based on joint works with J.A. Hartigan and with M. Rudelson, I discuss some computationally efficient formulas, motivated by the maximum entropy principle from statistical physics, to approximate the volume of and count integer points in some combinatorially interesting families of higher-dimensional polyhedra.

Information about the video

Date of recording 19/11/2024
Date of publication 25/11/2024
Institution IHES
Language English
Audience Researchers, Graduate Students
Format MP4

Domain(s)

Metric Geometry

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