Evolution of Large Scale Structure { Garching , August 1998 LARGE - SCALE MASS POWER SPECTRUM FROMPECULIAR

The power spectrum of mass density uctuations is estimated from the Mark III and the SFI catalogs of peculiar velocities by applying a maximum likelihood analysis, using parametric models for the power spectrum and for the errors. Generalized CDM models with and without COBE normalization are used. The applications to the two diierent data sets give consistent results. The general result is a relatively high amplitude of the power spectrum, e.g, at k = 0:1 h Mpc ?1 we nd P (k)) 1:2 =dependent constraints on combinations of cosmological parameters are obtained for families of COBE-normalized CDM models. These can roughly be approximated by h 60 n = 0:6 0:2, where = 1:3 and = 3:7; 2:0 for CDM models with and without tensor uctuations respectively. For open CDM, without tensor uctuations, the powers are = 0:9 and = 1:4. The quoted error-bars reeect the 90% formal likelihood uncertainty for each model and the variance among diierent models and between catalogs. This is a brief review of a collaborative project (for more details, see Zaroubi et al. 1997, Freudling et al. 1998). Preliminary constraints in the ? plane are presented as well.