**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

**Perturbation Theory of Dynamical Systems**

by

**Nils Berglund**-

**arXiv**

These are lecture notes for undergraduate Mathematics and Physics students. They cover a few selected topics from perturbation theory at an introductory level: Bifurcations and Unfolding; Regular Perturbation Theory; Singular Perturbation Theory.

(

**2599**views)

**Optimization and Dynamical Systems**

by

**U. Helmke, J. B. Moore**-

**Springer**

Aimed at mathematics and engineering graduate students and researchers in the areas of optimization, dynamical systems, control systems, signal processing, and linear algebra. The problems solved are those of linear algebra and linear systems theory.

(

**8876**views)

**Local Theory of Holomorphic Foliations and Vector Fields**

by

**Julio C. Rebelo, Helena Reis**-

**arXiv**

Informal lecture notes intended for graduate students about the standard local theory of holomorphic foliations and vector fields. Though the material presented here is well-known some of the proofs differ slightly from the classical arguments.

(

**4927**views)

**Stability Analysis via Matrix Functions Method**

by

**A. A. Martynyuk**-

**Bookboon**

The monograph presents a generalization of the well-known Lyapunov function method and related concepts to the matrix function case within the framework of systematic stability analysis of dynamical systems (differential equations).

(

**4559**views)