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Cosmic Anomalies Peter Coles (Cardiff) DEUS, Copenhagen,  Tuesday 9 th  August 2011
Part I: Rambling Introduction
 
 
 
“ CONCORDANCE”
Theory  (  , n, H 0 …) Observations
 
 
 
 
There are many ways of being weird ,[object Object],[object Object],[object Object],[object Object]
Precision Cosmology “… as we know, there are known knowns; there are things we know we know. We also know there are known unknowns; that is to say we know there are some things we do not know. But there are also unknown unknowns -- the ones we don't know we don't know.”
Part II: CMB Anomalies
Weirdness in Phases For a homogeneous and isotropic Gaussian random field (on the sphere) then the phases are independent and uniformly distributed.
 
 
 
 
 
 
Types of CMB Anomalies ,[object Object],[object Object],[object Object],[object Object]
 
 
(from Hansen et al. 2004)
(from Copi et al. 2005)
Wise Words from WMAP (7) arXiv:1001.4758 ,[object Object]
 
“ If tortured sufficiently, data will confess to almost anything” Fred Menger
Is there an Elephant in the Room?
[object Object],[object Object],[object Object]
Part III: Extreme Objects
 
Extreme Value Statistics (exact) Given the distribution of X, what is the distribution of X max ?
Extreme Value Statistics (asymptotic) For any distribution of  exponential type,  in the sense that Then there is a stable asymptotic distribution
Comments ,[object Object],[object Object],[object Object],[object Object]
PDF
 
 
 
Mass Function e.g. Sheth & Thormen: Correction for primordial non-Gaussianity
Waizman, Ettori & Moscardini, 2001 arXiv:1105.4099 See also: Colombi et al. 2011; Davis et al. 2011 These use alternative parametrisation
 
 

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