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Poincaré recurrence and number theory: thirty years later

Poincaré recurrence and number theory: thirty years later

Hillel Furstenberg's 1981 article in the Bulletin of the American Mathematical Society gives an elegant introduction to the interplay between dynamics and number theory, summarizing the major developments that occurred in the few years after his landmark paper [21].The field has evolved over the past thirty years, with major advances …