Abstract
A gentle and pedagogical introduction to Gaussian random fields and their applications in cosmological statistics.
These notes originated as a supplement to the first four lectures on “Cosmostatistics and Large Surveys” given at the Institut d’Astrophysique de Paris at the Université Pierre et Marie Curie in February 2011.
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Notes
- 1.
If you get stuck doing this, then good! You should run into trouble since there is no solution. You are only free to chose 2 different values, not three due to the additional periodic boundary conditions.
- 2.
Note that measurements of the CMB on even smaller scales are ongoing in several experiments.
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Acknowledgments
I am grateful for comments from students in my 2011 class on “Cosmostatistics and large surveys” which helped improve these notes. BDW holds a Chaire Internationale at the Université Pierre et Marie Curie (Paris 6) and is supported by NSF grants AST 0908902, AST 09-08693 ARRA, and AST 07-08849, and an ANR Chaire d’Excellence.
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Wandelt, B.D. (2013). Gaussian Random Fields in Cosmostatistics. In: Hilbe, J. (eds) Astrostatistical Challenges for the New Astronomy. Springer Series in Astrostatistics, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3508-2_5
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