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Quadratic Minor Lamination

Student: Polina Makeeva

Supervisor: Vladlen Timorin

Faculty: Faculty of Mathematics

Educational Programme: Joint Bachelor's Programme with the Centre for Teaching Excellence (Bachelor)

Final Grade: 8

Year of Graduation: 2024

This work explores the Mandelbrot set and aims at modelling it. The quadratic minor lamination is related to the Mandelbrot set, and invariant quadratic laminations are related to filled-in Julia sets of quadratic polynomials. Knowing how to construct any forward-invariant finite gap, I describe the central gap of the QML.

Full text (added June 2, 2024)

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