Non-plant roots; today's reading.

fractals littlewood-polynomial polynomial-roots today-i-read

  1. John C. Baez, J. Daniel Christensen, and Sam Derbyshire, “The Beauty of Roots,” Notices of the American Mathematical Society, Oct. 2023, doi: 10.1090/noti2789. [Online]. Available at: https://www.ams.org/journals/notices/202309/noti2789/noti2789.html?adat=October%202023&trk=2789&galt=none&cat=feature&pdfissue=202309&pdffile=rnoti-p1495.pdf

    tl;dr: A ’Short Stories’ paper, 3 pages. Considers Littlewood polynomials (each coefficient is +1 or -1) of degree n, and the patterns that arise from plotting the set of all roots for a particular degree. Note: Figures are plots of the complex plane, with the intensity proportional to the number of roots at that point. The plots resemble a unit circle with fractal patterns on the circle’s boundary. Subject area is outside of my regular reading; I enjoyed the article.

© Amy Tabb 2018 - 2023. All rights reserved. The contents of this site reflect my personal perspectives and not those of any other entity.