Algebraic automatic continued fractions in characteristic 2

Yining Hu (Huazhong University of Science and Technology)

14-Feb-2023, 13:00-14:00 (13 months ago)

Abstract: We present two families of automatic sequences that define algebraic continued fractions in characteristic $2$. The period-doubling sequence belongs to the first family $\mathcal{P}$; and its sum modulo $2$, the Thue-Morse sequence, belongs to the second family $\mathcal{G}$. The family $\mathcal{G}$ contains all the iterated sums of sequences from the $\mathcal{P}$ and more.

dynamical systemsnumber theory

Audience: researchers in the topic

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