View source for Peak patch and websky

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The <i>Peak Patch</i> and <i>WebSky</i> simulations are a highly efficient tool for modelling the [https://en.wikipedia.org/wiki/Observable_universe#Large-scale_structure large-scale structure] of the universe.

=The <i>Peak Patch</i> simulations=
The <i>Peak Patch</i> simulations model the distribution of dark matter (DM) in the universe by mapping out catalogues of DM halos. 

[ add basic steps that pkp takes ]

<i>Peak Patch</i> has been validated by <math>N</math>-body simulations and has performed favourably compared to other halo-finders.

<i>Peak Patch</i> is additionally a particularly powerful tool for studying beyond-standard-model (BSM) cosmology because the simulation takes as initial conditions either a [https://en.wikipedia.org/wiki/Matter_power_spectrum power spectrum] (describing the amount of structures of different sizes that we observe in the universe) or a linear matter density field <math>\delta_L(\mathbf{x})</math> (the density of matter in the early universe, before nonlinear effects like gravity have had much chance to operate, leaving a field that is propagated from quantum fluctuations by linear theory only), and because it has built-in support for varying <math>\Lambda</math>CDM model parameters and primordial non-Gaussianities of a number of forms informed by a range of early-universe physics phenomena. Because it employs only approximate dynamics, complete knowledge of the BSM equations of motion is not required, allowing us to probe wider parameter space.

[ link to George's paper ]

=The <i>WebSky</i> simulations=
The <i>WebSky</i> simulations produce mock sky maps in a range of observables. Mock sky maps are simulated maps of the sky that are statistically analogous to maps of the sky made by observatories.

[ discuss model ]

[ discuss different response functions ]

[ link to paper ]

==Notes==
1. <i>WebSky</i> has two pronunciations which are understood to exist in superposition
<math> | \mathrm{Web} \rangle \otimes \left( \frac{ | \mathrm{Sky} \rangle + | \mathrm{Ski} \rangle }{ \sqrt{2} } \right) </math>.