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	1 Introduction
	2 The model
	3 Velocity moments
	4 Statistics of intensity and centroid maps
	5 The case of fractional Brownian motion fields
	6 Discussion
	7 Conclusions
	References
	Online Material
	Appendix A: The Chandrasekhar-Münch scheme
	Appendix B: Autocorrelation functions of the velocity centroid maps in the case v0=0
	Appendix C: Expansion of the averaged autocorrelation function of an fBm field
	Appendix D: The uniformity of fBm fields with H> 1

List of figures