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

Andrea Collevecchio, Robert Griffiths

Research output: Contribution to journalArticleResearchpeer-review


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
Number of pages23
JournalJournal of Theoretical Probability
Publication statusAccepted/In press - 2022


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

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