**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

**Dynamical Systems**

by

**Jose A. Tenreiro Machado (ed.)**-

**MDPI AG**

Complex systems are studied in many areas of natural sciences, social sciences, engineering and mathematics. This volume intends to contribute towards the dissemination of the multifaceted concepts in accepted use by the scientific community.

(

**1678**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.

(

**4525**views)

**The Hopf Bifurcation and Its Applications**

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.

(

**8167**views)

**An Introduction to Quantum Chaos**

by

**Mason A. Porter**-

**arXiv**

Nonlinear dynamics (''chaos theory'') and quantum mechanics are two of the scientific triumphs of the 20th century. The author gives a brief review of the origin and fundamentals of both quantum mechanics and nonlinear dynamics.

(

**6650**views)