View source for July 3rd, 2019 - CIB Halo Scramble: Solved

It seems we at last have a trustworthy version of the halo-scrambled CIB map; I made the map by scrambling the catalog itself separately then saving it into a new catalog file. 
I then used the 'halo2fluxmap' code with the new catalog. (Previously, I had been reading in the original catalog in the halo2fluxmap code, then tried scrambling the halos, which failed miserably.) 

This post briefly looks into its basics/statistics compared to the original CIB map.

'''Maps''' (Left: original Right: scrambled)

-Full Sky

[[File:CIB_original.png|500x400px|]] [[File:CIB_scrambled.png|500x400px|]]

-Zoomed (5 deg by 5 deg (0~5 longitude and latitude))

[[File:CIB_original_zoom.png|500x400px|]] [[File:CIB_scrambled_zoom.png|500x400px|]]

'''Basic Statistics''' (Left: original Right: scrambled)

-Statistics

[[File:Scrambled_stats.png|500x400px|]]

-Histograms

[[File:Scrambled_hist.png|500x400px|]]

-Power Spectra

[[File:Scrambled_cl.png|500x400px|]]

Nothing special is to be noted up until here; the true scrambled map looks much similar to the original CIB than the incorrect realizations (where the majority of pixels were very low in intensity with few extremely bright pixels).

'''3-point function''' (Left: 3rd Moment Right: Reduced Bispectrum (Equilateral))

[[File:3rd_cat_scrambled.png|500x400px|]] [[File:Bl_cat_scrambled.png|500x400px|]]

Now the reduced bispectrum (for the scrambled map) behaves exactly as we had anticipated; it has a roughly constant value throughout all ells, matching the original CIB's bispectrum in the high ell Poissonian regime.

'''Anomaly at High <math> \ell </math> for Scrambled Reduced Bispectrum (Solved)'''

[[File:3rd_scrambled_average.png|500x400px|]] [[File:Bispectrum_scrambled_average.png|500x400px|]]

I made 5 different scrambled halo catalogs, and it seems that the anomaly at high <math> \ell </math> was only present for the one of the catalogs (I am not 100% sure if I have the error bars right). The very last value (at around <math> \ell = 8000 </math>) could be an anomaly however (maybe an nside effect?).