Book review of: M. Braverman and M. Yampolsky, Computability of Julia sets

DOI10.1007/s10208-011-9111-7zbMath1276.00010OpenAlexW1998749306WikidataQ122168466 ScholiaQ122168466MaRDI QIDQ431821

Arnaud Chéritat

Publication date: 3 July 2012

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10208-011-9111-7

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Complexity of computation (including implicit computational complexity) (03D15) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Other Turing degree structures (03D28) External book reviews (00A17)

Cites Work

• The Brjuno function continuously estimates the size of quadratic Siegel disks
• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Complex dynamics
• The Brjuno functions and their regularity properties
• Rational iteration: complex analytic dynamical systems
• Quadratic Julia sets with positive Lebesgue measure.
• Dynamics in One Complex Variable. (AM-160)
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