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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
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Fixed Point of the Parabolic Renormalization Operator (Paperback, 2014 ed.)
Loot Price: R1,840
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Fixed Point of the Parabolic Renormalization Operator (Paperback, 2014 ed.)
Series: SpringerBriefs in Mathematics
Expected to ship within 10 - 15 working days
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This monograph grew out of the authors' efforts to provide a
natural geometric description for the class of maps invariant under
parabolic renormalization and for the Inou-Shishikura fixed point
itself as well as to carry out a computer-assisted study of the
parabolic renormalization operator. It introduces a
renormalization-invariant class of analytic maps with a maximal
domain of analyticity and rigid covering properties and presents a
numerical scheme for computing parabolic renormalization of a germ,
which is used to compute the Inou-Shishikura renormalization fixed
point. Inside, readers will find a detailed introduction into the
theory of parabolic bifurcation, Fatou coordinates, Ecalle-Voronin
conjugacy invariants of parabolic germs, and the definition and
basic properties of parabolic renormalization. The systematic view
of parabolic renormalization developed in the book and the
numerical approach to its study will be interesting to both experts
in the field as well as graduate students wishing to explore one of
the frontiers of modern complex dynamics.
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