Non-linear Data Analysis on the Sphere

1. Introduction and Theoretical Background
Gregor Rossmanith

2. Methods for Testing the Non-Gaussianity of the CMB
Gregor Rossmanith

3. Observations of the CMB with the WMAP Satellite
Gregor Rossmanith

4. Scaling Indices Applied to the WMAP 5-Year Data
Gregor Rossmanith

5. Surrogates and Scaling Indices Applied to the WMAP 7-Year Data
Gregor Rossmanith

6. Extending the Analysis of the WMAP 7-Year Data
Gregor Rossmanith

7. Applying the Surrogate Approach to Incomplete Skies
Gregor Rossmanith

8. Conclusions
Gregor Rossmanith

Keywords: Physics, Cosmology, Mathematical Methods in Physics, Statistical Physics, Dynamical Systems and Complexity