3 papers
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.NT2017
Quadratic Irrationals, Generating Functions, and Lévy Constants
Anna Belova, Peter Hazard
We show that the generating function corresponding to the sequence of denominators of the best rational approximants of a quadratic irrational is a rational function with integer c…
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…