Exploring redshift-space distortions in large-scale structure
  We explore and compare different ways large-scale structure observables in
redshift-space and real space can be connected. These include direct
computation in Lagrangian space, moment expansions and two formulations of the
streaming model. We derive for the first time a Fourier space version of the
streaming model, which yields an algebraic relation between the real- and
redshift-space power spectra which can be compared to earlier, phenomenological
models. By considering the redshift-space 2-point function in both
configuration and Fourier space, we show how to generalize the Gaussian
streaming model to higher orders in a systematic and computationally tractable
way. We present a closed-form solution to the Zeldovich power spectrum in
redshift space and use this as a framework for exploring convergence properties
of different expansion approaches. While we use the Zeldovich approximation to
illustrate these results, much of the formalism and many of the relations we
derive hold beyond perturbation theory, and could be used with ingredients
measured from N-body simulations or in other areas requiring decomposition of
Cartesian tensors times plane waves. We finish with a discussion of the
redshift-space bispectrum, bias and stochasticity and terms in Lagrangian
perturbation theory up to 1-loop order.
