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Golden ratio in contemporary mathematics

Let $\rho$ be the binary substitution defined by: $$\rho(00)=\text{empty word}\quad\rho(01)=1\quad\rho(10)=0\quad\rho(11)=01.$$ Let $R$ be the self-map of $[0,1]$ associating to every $x=(0.w)_2$ the ...
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Golden ratio in contemporary mathematics

Golden ratio appeared in the recent breakthrough of Frankl's Union Closed Set conjecture by Justin Gilmer, as well as the subsequent optimization of the lower bound constant. It relies crucially on ...

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