A Model for Pairs of Beatty Sequences

Yuval Ginosar, Ilan Yona

Research output: Contribution to journalArticlepeer-review


Beatty sequences ⌊nα1 + ϐ1※m∈ℤ and ⌊mα2 + ϐ2※m∈ℤ are described by two athletes running in opposite directions on a round track. This approach suggests an interesting interpretation for well-known partitioning criteria; such sequences (eventually) partition the integers essentially when the athletes have the same starting point.
Original languageEnglish
Pages (from-to)636-645
JournalAmerican Mathematical Monthly
Issue number8
StatePublished - 2012


Dive into the research topics of 'A Model for Pairs of Beatty Sequences'. Together they form a unique fingerprint.

Cite this