Constructing Morphisms for Arithmetic Subsequences of Fibonacci
Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube
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This 24-minute conference talk by Henk Don at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI) explores the explicit construction of morphisms for arithmetic subsequences of Fibonacci sequences. Presented as part of the Workshop on "Uniform Distribution of Sequences" held at ESI in April 2025, learn how to construct morphisms that generate arbitrary arithmetic subsequences of the infinite fixed point of the Fibonacci morphism. The presentation builds upon Dekking's general theorem, which establishes that arithmetic subsequences of any morphic sequence remain morphic, while demonstrating the non-obvious construction process in detail.
Syllabus
Henk Don - Constructing morphisms for arithmetic subsequences of Fibonacci
Taught by
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)