Cosmology with Doppler Lensing
  Doppler lensing is the apparent change in object size and magnitude due to
peculiar velocities. Objects falling into an overdensity appear larger on its
near side, and smaller on its far side, than typical objects at the same
redshifts. This effect dominates over the usual gravitational lensing
magnification at low redshift. Doppler lensing is a promising new probe of
cosmology, and we explore in detail how to utilize the effect with forthcoming
surveys. We present cosmological simulations of the Doppler and gravitational
lensing effects based on the Millennium simulation. We show that Doppler
lensing can be detected around stacked voids or unvirialised over-densities.
New power spectra and correlation functions are proposed which are designed to
be sensitive to Doppler lensing. We consider the impact of gravitational
lensing and intrinsic size correlations on these quantities. We compute the
correlation functions and forecast the errors for realistic forthcoming
surveys, providing predictions for constraints on cosmological parameters.
Finally, we demonstrate how we can make 3-D potential maps of large volumes of
the Universe using Doppler lensing.
