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

by Julio C. Rebelo, Helena Reis

**Publisher**: arXiv 2011**Number of pages**: 115

**Description**:

These are slightly 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.

Download or read it online for free here:

**Download link**

(910KB, PDF)

## Similar books

**Ergodic Optimization, Zero Temperature Limits and the Max-plus Algebra**

by

**A. T. Baraviera, R. Leplaideur, A. O. Lopes**-

**arXiv**

We review some basic notions in ergodic theory and thermodynamic formalism, as well as introductory results in the context of max-plus algebra, in order to exhibit some properties of equilibrium measures when temperature goes to zero.

(

**7776**views)

**Dynamical Systems and Chaos**

by

**Evans M. Harrell II**

Class notes for an introductory course on dynamical systems and chaos for mathematicians, physicists, and engineers. The text concentrates on models rather than proofs in order to bring out the concepts of dynamics and chaos.

(

**15269**views)

**Hyperbolic Manifolds, Discrete Groups and Ergodic Theory**

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.

(

**8584**views)

**Fractal Analysis**

by

**Sid-Ali Ouadfeul (ed.)**-

**InTech**

The aim of this book is to show some applications of fractal analysis in the sciences. The first chapter introduces the readers to the book, while the second chapter shows the methods and challenges of fractal analysis of time-series data sets...

(

**5605**views)