xi(r) from Hoyle's P(k)

[Boud Roukema]

Hi everyone,
   I think this is once again an example where I am slow or uneager
to follow Gary's advice, but it turns out to that his idea is brilliant...

Apart from the question of using the Hoyle et al P(k), which is
more a test of self-consistency between two different, but roughly
equivalent, methods of analysing the same data set, and which seems
to be OK in the smoothed plot of Gary's second message, I think that
the first plot, based on the BBKS 1984 CDM-like P(k) is definitely
very exciting: I think it makes it clear that for standard acoustic
wave theory, we should *expect* to have peaks at these sorts of
length scales in the correlation function, and that the correlation
function can be *expected* to function as a better standard ruler
than the power spectrum. :) :) :)

So the question gets back to: what is the best way of calculating
the correlation function from the data to best constrain the
local cosmological parameters...

I'll try to get the next version of DE out soon...

Best wishes to Gary for your talk tomorrow if I don't write
anything sooner - and Micha³ F, hope you learn a lot and meet
a lot of people during this week.  Maybe you could give us an
informal talk about it mid-July (e.g. 15-19 July), since a few
people may be here in Piwnice (e.g. Marcin, me).


On Sun, 30 Jun 2002, Gary Mamon wrote:

> I finally computed the correlation function extpected from Hoyle etal.'s
> P(k) obtained from their analysis of the 2QZ-10k quasar sample.

...

> Even though Hoyle's peak is at 2 pi h / 89 Mpc, the 1st plot shows xi(r)
> with peaks at 67, 127 and 255 h-1 Mpc, close to what we (Boud really)
> gave in RMB02. This gives us some confidence that Boud's calculations are
> not completely wrong :-) and that there is no simple relation such as peak
> in xi at 2 pi / k_peak, where k_peak is the peak in P(k).


Cze¶æ
Boud