Complex Dynamics and Renormalization
by Curtis T. McMullen
Publisher: Princeton University Press 1994
ISBN/ASIN: 0691029814
ISBN-13: 9780691029818
Number of pages: 219
Description:
Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics. Its central concern is the structure of an infinitely renormalizable quadratic polynomial f(z)=z2+c.
Download or read it online for free here:
Download link
(1.2MB, PDF)
Similar books

by J. E. Marsden, M. McCracken - Springer
The goal of these notes is to give a reasonably complete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to specific problems, including stability calculations.
(15248 views)

by Curtis T. McMullen - Harvard University
Contents: Ergodic theory; Dynamics on hyperbolic surfaces; Orbit counting, equidistribution and arithmetic; Spectral theory; Mixing of unitary representations of SLnR; Amenability; The Laplacian; All unitary representations of PSL2(R); etc.
(9449 views)

by Pierre Arnoux, et al. - Springer
A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both because they are very deterministic and because they are built by simple rules.
(11509 views)

by Roland K. W. Roeder - arXiv
We introduce the exciting field of complex dynamics at an undergraduate level while reviewing, reinforcing, and extending the ideas learned in an typical first course on complex analysis. Julia sets and the famous Mandelbrot set will be introduced...
(7264 views)