A Class of Non-Reversible Hypercube Long-Range Random Walks and Bernoulli Autoregression

Andrea Collevecchio, Robert Griffiths

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We study a large class of long-range random walks which take values on the vertices of an N-dimensional hypercube. These processes are connected with multivariate Bernoulli autoregression.
Original languageEnglish
Pages (from-to)623-645
Number of pages23
JournalJournal of Theoretical Probability
Volume36
DOIs
Publication statusPublished - Mar 2023

Keywords

  • Bernoulli autoregression
  • General random walks on the hypercube
  • Krawtchouk polynomials

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