On the mixing time of the Diaconis-Gangolli random walk on contingency tables over Z/qZ

Evita Nestoridi; Oanh Nguyen

doi:10.1214/19-AIHP991

On the mixing time of the Diaconis-Gangolli random walk on contingency tables over Z/qZ

Evita Nestoridi
, Oanh Nguyen

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The Diaconis-Gangolli random walk is an algorithm that generates an almost uniform random graph with prescribed degrees. In this paper, we study the mixing time of the Diaconis-Gangolli random walk restricted on n × n contingency tables over Z/qZ. We prove that the random walk exhibits cutoff at (Equation presented) log n, when log (Equation presented).

Original language	English (US)
Pages (from-to)	983-1001
Number of pages	19
Journal	Annales de l'institut Henri Poincare (B) Probability and Statistics
Volume	56
Issue number	2
DOIs	https://doi.org/10.1214/19-AIHP991
State	Published - 2020

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

Keywords

Contingency table
Cutoff
Mixing time
Random graphs

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10.1214/19-AIHP991

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abstract = "The Diaconis-Gangolli random walk is an algorithm that generates an almost uniform random graph with prescribed degrees. In this paper, we study the mixing time of the Diaconis-Gangolli random walk restricted on n × n contingency tables over Z/qZ. We prove that the random walk exhibits cutoff at (Equation presented) log n, when log (Equation presented).",

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PY - 2020

Y1 - 2020

N2 - The Diaconis-Gangolli random walk is an algorithm that generates an almost uniform random graph with prescribed degrees. In this paper, we study the mixing time of the Diaconis-Gangolli random walk restricted on n × n contingency tables over Z/qZ. We prove that the random walk exhibits cutoff at (Equation presented) log n, when log (Equation presented).

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KW - Cutoff

KW - Mixing time

KW - Random graphs

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ER -

On the mixing time of the Diaconis-Gangolli random walk on contingency tables over Z/qZ

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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