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Comparing the gravitational acceleration induced on the Local Group of galaxies by different tracers of the underline density field we estimate, within the linear gravitational instability theory and the linear biasing ansatz, their relative bias factors. Using optical SSRS2 galaxies, IRAS (PSCz) galaxies and Abell/ACO clusters, we find b_{O,I} ~ 1.21 +- 0.06 and b_{C,I} ~ 4.3 +- 0.8, in agreement with other recent studies. Finally, there is an excellent one-to-one correspondence of the PSCz and Abell/ACO cluster dipole profiles, once the latter is rescaled by b_{C,I}, out to at least ~150 h^{-1} Mpc., Comment: 7 pages, 5 figures, accepted for publication in MNRAS

We use the PSCz IRAS galaxy redshift survey to analyze the cosmological galaxy dipole out to a distance 300 h$^{-1}$ Mpc. The masked area is filled in three different ways, firstly by sampling the whole sky at random, secondly by using neighbouring areas to fill a masked region, and thirdly using a spherical harmonic analysis. The method of treatment of the mask is found to have a significant effect on the final calculated dipole. The conversion from redshift space to real space is accomplished by using an analytical model of the cluster and void distribution, based on 88 nearby groups, 854 clusters and 163 voids, with some of the clusters and all of the voids found from the PSCz database. The dipole for the whole PSCz sample appears to have converged within a distance of 200 $h^{-1}$Mpc and yields a value for $\beta = \Omega^{0.6}/b$ = 0.75 (+0.11,-0.08), consistent with earlier determinations from IRAS samples by a variety of methods. For b = 1, the $2-\sigma$ range for $\Omega_{o}$ is 0.43-1.02. The direction of the dipole is within 13$^o$ of the CMB dipole, the main uncertainty in direction being associated with the masked area behind the Galactic plane. The improbability that further major contributions to the dipole amplitude will come from volumes larger than those surveyed here means that the question of the origin of the CMB dipole is essentially resolved., Comment: 25 pages, 13 figures, accepted for publication in MNRAS. Figs 2,3,4 available by anonymous ftp from ftp://icstar5.ph.ic.ac.uk (cd /pub/mrr)

The relationship between galaxy luminosities and rotation rates is studied with total luminosities in the K' band. Extinction problems are essentially eliminated at this band centered at 2.1 micron. A template luminosity-linewidth relation is derived based on 65 galaxies drawn from two magnitude-limited cluster samples. The zero-point is determined using 4 galaxies with accurately known distances. The calibration is applied to give the distance to the Pisces Cluster (60 Mpc) at a redshift in the CMB frame of 4771 km/s. The resultant value of the Hubble Constant is 81 km/s/Mpc. The largest sources of uncertainty arises from the small number of zero-point calibrators at this time at K' and present application to only one cluster., Comment: 13 pages including 5 figures and 2 tables. Accepted for publication in Astrophysical Journal

We present the results of reconstruction analysis of the galaxy distribution in a spherical region of radius 50 Mpc/h centered on the Local Group, as mapped by the IRAS Point Source Catalog Redshift Survey (PSCz). We reconstruct it using 15 different models for structure formation in the universe, each consisting of a set of assumptions regarding the value of the density parameter Omega_m, and the amplitude and nature of the biasing between IRAS galaxies and mass. For every model, we also reconstruct ten mock PSCz catalogs derived from the outputs of numerical simulations that have the appropriate assumptions about Omega_m and bias. We use a variety of statistics to compare the accuracy of each reconstruction of the PSCz catalog to the accuracy expected based on the corresponding mock catalog reconstructions. We find that gravitational instability of Gaussian mass density fluctuations can account for the galaxy distribution in the PSCz catalog, at least for some plausible assumptions about the value of Omega_m and the bias. Unbiased models in which IRAS galaxies trace mass fail to reconstruct the PSCz catalog accurately, both for Omega_m=0.4 and for Omega_m=1. Low Omega_m models in which IRAS galaxies are antibiased with respect to the mass are the most successful in reconstructing the PSCz catalog. In particular, a model with Omega_m=0.4 and IRAS galaxies related to the mass according to the predictions of a semi-analytic galaxy formation model is very successful in reconstructing the PSCz galaxy distribution., Comment: 50 pages including 13 Figures and 2 Tables, submitted to ApJ

We present a version of the Fourier Bessel method first introduced by Fisher et al (1994) and Zaroubi et al (1994) with two extensions: (a) we amend the formalism to allow a generic galaxy weight which can be constant rather than the more conventional overweighting of galaxies at high distances, and (b) we correct for the masked zones by extrapolation of Fourier Bessel modes rather than by cloning from the galaxy distribution in neighbouring regions. We test the procedure extensively on N-body simulations and find that it gives generally unbiased results but that the reconstructed velocities tend to be overpredicted in high-density regions. Applying the formalism to the PSZz redshift catalog, we find that beta = 0.7 +/- 0.5 from a comparison of the reconstructed Local Group velocity to the CMB dipole. From an anisotropy test of the velocity field, we find that beta = 1 CDM models models normalized to the current cluster abundance can be excluded with 90% confidence. The density and velocity fields reconstructed agree with the fields found by Branchini et al (1998) in most points. We find a back-infall into the Great Attractor region (Hydra-Centaurus region) but tests suggest that this may be an artifact. We identify all the major clusters in our density field and confirm the existence of some previously identified possible ones., Comment: To appear in AJ (c Sept 99)

We present a direct comparison of the clustering properties of two redshift surveys covering a common volume of space: the recently completed IRAS Point Source Catalogue redshift survey (PSCz) containing 14500 galaxies with a limiting flux of 0.6 Jy at 60 microns, and the optical Stromlo-APM survey containing 1787 galaxies in a region of 4300 deg^2 in the southern Galactic cap. We use three methods to compare the clustering properties: the counts-in-cells comparison of Efstathiou (1995), the two-point cross correlation function, and the Tegmark (1998) `null-buster' test. We find that the Stromlo variances are systematically higher than those of PSCz, as expected due to the deficit of early-type galaxies in IRAS samples. However we find that the differences between the cell counts are consistent with a linear bias between the two surveys, with a relative bias parameter b_rel = b_Stromlo/b_PSCz \approx 1.3 which appears approximately scale-independent. The correlation coefficient R between optical and IRAS densities on scales \sim 20 Mpc/h is R > 0.72 at 95% c.l., placing limits on types of `stochastic bias' which affect optical and IRAS galaxies differently., Comment: Accepted for publication in MNRAS, 13 pages, 18 postscript figures

We present a self consistent nonparametric model of the local cosmic velocity field based on the density distribution in the PSCz redshift survey of IRAS galaxies. The error analysis, carried out on mock PSCz catalogues constructed from N-body simulations, reveals uncertainties of ~70 km/sec. The denser sampling provided by the PSCz survey compared to previous IRAS galaxy surveys allows us to reconstruct the velocity field out to larger distances. The most striking feature of the model velocity field is a coherent large-scale streaming motion along a baseline connecting Perseus-Pisces, the Local Supercluster, the Great Attractor, and the Shapley Concentration. We find no evidence for back-infall onto the Great Attractor. Instead, material behind and around the Great Attractor in inferred to be streaming towards the Shapley Concentration The PSCz model velocities compare well with those predicted from the 1.2Jy redshift survey of IRAS galaxies and with those predicted from the distribution of Abell/ACO clusters, out to 140 Mpc/h. Comparison of the real-space density fields (or, alternatively, the peculiar velocity fields) inferred from the PSC$z$ and cluster catalogues gives a relative (linear) bias parameter between clusters and IRAS galaxies of 4.4 +/- 0.6. Finally, we compare the cumulative bulk flows predicted from the PSCz gravity field with those measured from the Mark III and SFI catalogues of peculiar velocities. A conservative estimate of beta=Omega**0.6/b, where b is the bias parameter for IRAS galaxies, gives beta =0.6 + 0.22 -0.15, in agreement with other recent determinations., Comment: 29 pages, Latex, 25 figures (23 ps-files + 2 gif file). Accepted by MNRAS. The correct text now replaces an old draft version, erroneously placed on the net

We apply the formalism of spherical harmonic decomposition to the galaxy density field of the IRAS PSCz redshift survey. The PSCz redshift survey has almost all-sky coverage and includes IRAS galaxies to a flux limit of 0.6 Jy. Using maximum likelihood methods to examine (to first order) the distortion of the galaxy pattern due to redshift coordinates, we have measured the parameter \beta= \Omega^{0.6}/b. We also simultaneously measure (a) the undistorted amplitude of perturbations in the galaxy distribution when a parameterised power spectrum is assumed, or (b) the shape and amplitude of the real-space power spectrum if the band-power in a set of passbands is measured in a step- wise fashion. These methods are extensively tested on a series of CDM, \Lambda CDM and MDM simulations and are found to be unbiased. We obtain consistent results for the subset of the PSCz catalogue with flux above 0.75 Jy but inclusion of galaxies to the formal flux limit of the catalogue gives variations which are larger than our internal errors. For the 0.75 Jy catalogue we find, in the case of a parameterised power spectrum, \beta=0.58\pm0.26 and the amplitude of the real space power measured at wavenumber k=0.1 h/Mpc is \Delta_{0.1}=0.42 \pm 0.03. Freeing the shape of the power spectrum we find that \beta=0.47\pm 0.16 (conditional error), and \Delta_{0.1}=0.47 \pm 0.03. The shape of the real-space power spectrum is consistent with a \Gamma= 0.2 CDM-like shape parameter, but does not strongly rule out a number of other models. Finally by combining our estimate of the amplitude of galaxy clustering and the distortion parameter we find the amplitude of mass fluctuations on a scale k=0.1 \hmpc is \Delta_\rho = 0.24 \Omega_0^{-0.6}$, with an uncertainty of 50%., Comment: 24 pages (Latex), 12 postscript figures included, accepted for publication in MNRAS

We measure the redshift-space power spectrum P(k) for the recently completed IRAS Point Source Catalogue (PSC) redshift survey, which contains 14500 galaxies over 84% of the sky with 60 micron flux >= 0.6 Jansky. Comparison with simulations shows that our estimated errors on P(k) are realistic, and that systematic errors due to the finite survey volume are small for wavenumbers k >~ 0.03 h Mpc^-1. At large scales our power spectrum is intermediate between those of the earlier QDOT and 1.2 Jansky surveys, but with considerably smaller error bars; it falls slightly more steeply to smaller scales. We have fitted families of CDM-like models using the Peacock-Dodds formula for non-linear evolution; the results are somewhat sensitive to the assumed small-scale velocity dispersion \sigma_V. Assuming a realistic \sigma_V \approx 300 km/s yields a shape parameter \Gamma ~ 0.25 and normalisation b \sigma_8 ~ 0.75; if \sigma_V is as high as 600 km/s then \Gamma = 0.5 is only marginally excluded. There is little evidence for any `preferred scale' in the power spectrum or non-Gaussian behaviour in the distribution of large-scale power., Comment: Latex, uses mn.sty, 14 pages including 11 Postscript figures. Accepted by MNRAS

We compute the acceleration on the Local Group using 11206 IRAS galaxies from the recently completed all-sky PSCz redshift survey. Measuring the acceleration vector in redshift space generates systematic uncertainties due to the redshift space distortions in the density field. We therefore assign galaxies to their real space positions by adopting a non-parametric model for the velocity field that solely relies on the linear gravitational instability and linear biasing hypotheses. Remaining systematic contributions to the measured acceleration vector are corrected for by using PSCz mock catalogues from N-body experiments. The resulting acceleration vector points approx. 15 degrees away from the CMB dipole apex, with a remarkable alignment between small and large scale contributions. A considerable fraction of the measured acceleration is generated within 40 h-1 Mpc with a non-negligible contribution from scales between 90 and 140 h-1 Mpc after which the acceleration amplitude seems to have converged. The local group acceleration from PSCz appears to be consistent with the one determined from the IRAS 1.2 Jy galaxy catalogue once the different contributions from shot noise have been taken into account. The results are consistent with the gravitational instability hypothesis and do not indicate any strong deviations from the linear biasing relation on large scales. A maximum-likelihood analysis of the comulative PSCz dipole is performed within a radius of 150 h-1 Mpc in which we account for nonlinear effects, shot noise and finite sample size. We obtain \beta = 0.70 (+ 0.35)(-0.2) at 1 \sigma confidence level., Comment: replace earlier version, references added, errorbars corrected

We present a self-consistent nonparametric model of the cosmic velocity field based on the spatial distribution of IRAS galaxies in the recently completed all-sky PSC$z$ redshift survey. The most streaking feature of the PSCz model velocity field is a coherent large-scale streaming motion along the Perseus Pisces, Local Supercluster, Great Attractor and Shapley Concentration baseline, with no evidence for a backinfall into the Great Attractor region. A likelihood analysis has been performed to measure $\beta$. We have obtained $\beta =0.6^{+0.22}_{-0.15}$ (1-$\sigma$), in agreement with other recent determinations., Comment: 5 pages, Latex, 1 Special Macro, 3 .ps figures

We present the latest results in our efforts to produce a complete, large sample of Ultraluminous Infrared Galaxies (ULIRGs, L60 > 10^11.4 Lsun for H0=100kms^-1 Mpc^-1, q0=0.5) for use in the study of these objects and their evolution. We have been using an optical/IR colour technique to select those objects most likely to be ULIRGs. 65 of the 198 candidate ULIRGs that do not yet have redshifts were observed. Redshifts were obtained for 51 of these objects, including 8 new ULIRGs and a further three probable ULIRGs with tentative redshifts. The new ULIRGs include one object at z=0.44 (00029-1424), the highest in the survey so far, and at least one new broad-line ULIRG (03156-1706) which appears to lie in a galaxy cluster. We discuss the properties of these objects and their local environments, concluding that three of them have high excitation spectra, and that five show disturbed morphology even in the shallow acquisition images. We also present the redshift measurements of the non-ULIRGs identified in the course of this survey., Comment: Accepted for publication in MNRAS

Magnitude-limited samples of spiral galaxies drawn from the Ursa Major and Pisces clusters are used to determine their extinction properties as a function of inclination. Imaging photometry is available for 87 spirals in B,R,I and K' bands. Extinction causes systematic scatter in color-magnitude plots. A strong luminosity dependence is found. Relative edge-on to face-on extinction of up to 1.7 mag is found at B for the most luminous galaxies but is unmeasurably small for faint galaxies. At R the differential absorption with inclination reaches 1.3 mag, at I it reaches 1.0 mag, and at K' the differential absorption can in the extreme be as great as 0.3 mag. The luminosity dependence of reddening can be translated into a dependence on rotation rate which is a distance-independent observable. Hence, corrections can be made that are useful for distance measurements. The strong dependence of the corrections on luminosity act to steepen luminosity-linewidth correlations. The effect is greatest toward the blue, with the consequence that luminosity-linewidth slope dependencies are now only weakly a function of color., Comment: 23 pages, 5 figures

We investigate the topology of the new Point Source Catalogue Redshift Survey (PSCz) of IRAS galaxies by means of the genus statistic. The survey maps the local Universe with approximately 15000 galaxies over 84.1 per cent of the sky and provides an unprecedented number of resolution elements for the topological analysis. For comparison with the PSCz data we also examine the genus of large N-body simulations of four variants of the cold dark matter cosmogony. The simulations are part of the Virgo project to simulate the formation of structure in the Universe. We assume that the statistical properties of the galaxy distribution can be identified with those of the dark matter particles in the simulations. We extend the standard genus analysis by examining the influence of sampling noise on the genus curve and introducing a statistic able to quantify the amount of phase correlation present in the density field, the "amplitude drop" of the genus compared to a Gaussian field with identical power spectrum. The results for PSCz are consistent with the hypothesis of random-phase initial conditions. In particular, no strong phase correlation is detected on scales ranging from 10 h^(-1)Mpc to 32 h^(-1)Mpc, whereas there is a positive detection of phase correlation at smaller scales. Among the simulations, phase correlations are detected in all models at small scales, albeit with different strengths. when scaled to a common normalization, the amplitude drop primarily depends on the shape of the power spectrum. We find that the constant bias standard CDM model can be ruled out at high significance because the shape of its power spectrum is not consistent with PSCz. The other CDM models with more large-scale power all fit the PSCz data almost equally well, with a slight preference for a high-density tauCDM model., Comment: 16 pages, 11 figures and 4 tables, accepted for publication in the MNRAS. New version with corrected typos