Laminations from the main cubioid

Discrete and Continuous Dynamical Systems. 2016. Vol. 36. No. 9. P. 4665–4702.

Blokh A., Oversteegen L., Птачек Р. М., Тиморин В. А.

Polynomials from the closure of the principal hyperbolic domain of the cubic connectedness locus have some specific properties, which were studied in a recent paper by the authors. The family of (affine conjugacy classes of) all polynomials with these properties is called the Main Cubioid. In this paper, we describe a combinatorial counterpart of the Main Cubioid --- the set of invariant laminations that can be associated to polynomials from the Main Cubioid.

Ключевые слова: Julia set, cubic polynomial, Mandelbrot set, invariant lamination, complex dynamics

ПУБЛИКАЦИЯ ПОДГОТОВЛЕНА ПО РЕЗУЛЬТАТАМ ПРОЕКТА: Алгебраическая геометрия и ее приложения: Производные категории; Гомологические и мотивные методы в некоммутативной геометрии; Специальные многообразия; Классическая геометрия; Геометрическая теория представлений; Арифметическая геометрия (2016)