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We use the final catalogue of the VIMOS Public Extragalactic Redshift Survey(VIPERS) to measure the power spectrum of the galaxy distribution at highredshift, presenting results that extend beyond $z=1$ for the first time. Weapply an FFT technique to four independent sub-volumes comprising a total of$51,728$ galaxies at $0.6<z<1.1$ (out of the nearly $90,000$ included in thewhole survey). We concentrate here on the shape of the direction-averaged powerspectrum in redshift space, explaining the level of modelling of redshift-spaceanisotropies and the anisotropic survey window function that are needed todeduce this in a robust fashion. We then use covariance matrices derived from alarge ensemble of mock datasets in order to fit the spectral data. The resultsare well matched by a standard $\Lambda$CDM model, with density parameter$\Omega_M h =\smash{0.227^{+0.063}_{-0.050}}$ and baryon fraction$\smash{f_B=\Omega_B/\Omega_M=0.220^{+0.058}_{-0.072}}$. These inferences fromthe high-$z$ galaxy distribution are consistent with results from local galaxysurveys, and also with the Cosmic Microwave Background. Thus the $\Lambda$CDMmodel gives a good match to cosmic structure at all redshifts so far accessibleto observational study.

astronomy and astrophysics

The VIMOS Public Extragalactic Redshift Survey (VIPERS). The matter  density and baryon fraction from the galaxy power spectrum at redshift  $0.6<z<1.1$