**Measure-Preserving Systems**

by Karl Petersen

**Publisher**: University of North Carolina 2008**Number of pages**: 65

**Description**:

These notes provide an introduction to the subject of measure-preserving dynamical systems, discussing the dynamical viewpoint; how and from where measure-preserving systems arise; the construction of measures and invariant measures; some basic constructions within the class of measure-preserving systems; and some mathematical background on conditional expectations, Lebesgue spaces, and disintegrations of measures.

Download or read it online for free here:

**Download link**

(510KB, PDF)

## Similar books

**Think Complexity: Complexity Science and Computational Modeling**

by

**Allen B. Downey**-

**Green Tea Press**

This book is about complexity science, data structures and algorithms, intermediate programming in Python, and the philosophy of science. The book focuses on discrete models, which include graphs, cellular automata, and agent-based models.

(

**4384**views)

**Around Kolmogorov Complexity: Basic Notions and Results**

by

**Alexander Shen**-

**arXiv.org**

Algorithmic information theory studies description complexity and randomness. This text covers the basic notions of algorithmic information theory: Kolmogorov complexity, Solomonoff universal a priori probability, effective Hausdorff dimension, etc.

(

**592**views)

**Complexity Theory**

by

**Johan HÃ¥stad**

This set of notes gives the broad picture of modern complexity theory, defines the basic complexity classes, gives some examples of each complexity class and proves the most standard relations. The author emphasizes the ideas involved in the proofs.

(

**10697**views)

**P, NP, and NP-Completeness: The Basics of Complexity Theory**

by

**Oded Goldreich**-

**Cambridge University Press**

The main focus of the current book is on the P-vs-NP Question and the theory of NP-completeness. Additional topics that are covered include the treatment of the general notion of a reduction between computational problems.

(

**4207**views)