On height gaps, D-finiteness, and a weak dynamical Mordell-Lang conjecture

Abstract: We present a dynamical framework giving rise to many classical sequences in number theory and algebraic combinatorics. We show that every such sequence is either preperiodic or satisfies a certain height gap condition. As applications, we obtain results concerning D-finite power series and a weak version of Dynamical Mordell-Lang. This is based on joint work with Jason Bell, Dragos Ghioca, and Fei Hu.

algebraic geometrydynamical systemsnumber theory

Audience: researchers in the topic

Arithmetic dynamics international online seminar

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