IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Recurrence Ranks of Sequences

  • March 5, 2021
  • 2:30 p.m.


We introduce the “moment rank” and “unitary rank” of numerical sequences, close relatives of linear-recursive order. We show that both parameters can be characterized by a broad set of criteria involving moments of measures, types of recurrence relations, Hankel matrix factorizations, analytic properties of generating functions, and algebraic properties of polynomial ideals. Additionally, we provide some application to spectral graph/hypergraph theory.

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