Georgy Golitsyn

1. Necessary notions from the theory of stochastic processe.- 2. Turbulence.- 3. Earthquakes.- 4. Energy spectrum of cosmic rays.- 5. Turbulence and rotation.- 6. Sea wind waves.- 7. Turbulence eddy mixing in the atmosphere and on the sea surface.- 8. Statistical structure of the sky bodies surface relief – Kaula’s rule.- 9. Stochastic motions at the prescribed rotation (hurricanes and other vortices).- 10. Size distributions for lakes and rivers. Flood damag.- 11. Additions and comments to previous sections.- 12. Similarity and dimension, rules of action.- 13. Convection.- 14. Clouds and turbulence, self-similarity, and peculiar invariants.- 15. The global sea level dynamics.- 16. The intrinsic properties of precipitation and rainfall.- 17. The global vertical atmospheric ozone long-memory.- 18. The air temperature scaling effect.- 19. The spectral solar radiation variability.- 20. Scaling of near-ground spectral albedo variability.- 21. Scaling properties of air pollution.- 22. Scaling effect in Greenhouse Gasses.- 23. A New Tool to Study Complex Systems: The Natural Time.- 24. El Niño Southern Oscillation; A New Prediction Tool.- 25. Other Applications of Natural Time to Extreme Phenomena.- 26. The climate linear and non-linear regime.- References.