Luke Hetzel

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math.DS2026

Periodic structure and Schrodinger operators for codings of circle rotations

Luke Hetzel, Ronnie Pavlov

We consider, for any irrational $α$ and interval $I \subset T$ , the 2-interval coding subshift $X^{(I, α)}$ induced by coding orbits under repeated rotation by $α$ via mem…

math.DS2025

On infinite sumsets and sets of multiple recurrence

Luke Hetzel

We answer two questions of Kra, Moreira, Richter and Robertson regarding the existence of infinite sumsets of the form $B + C$ in dense and sparse sets of integers and the relation…