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math.DS2019
Critical points of the multiplier map for the quadratic family
Anna Belova, Igors Gorbovickis
The multiplier of a periodic orbit of period can be viewed as a (multiple-valued) algebraic function on the space of all complex quadratic polynomials . We…
math.DS2015
Rigorous enclosures of rotation numbers by interval methods
Anna Belova
We apply set-valued numerical methods to compute an accurate enclosure of the rotation number. The described algorithm is supplemented with a method of proving the existence of per…