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Marc Davis

Publications and source records attributed to Marc Davis.

At least 91 records · Page 5Linked to original sources

A New Object-Weighted Measure of the Small-Scale Velocity Dispersion

We describe a new statistic for measuring the small-scale velocity dispersion of galaxies directly from redshift surveys. This statistic is based on the object-weighted statistic proposed by Davis, Miller, & White (1997). Compared with the traditional pair-weighted velocity dispersion, our statistic is less sensitive to the presence or absence of rare, rich clusters of galaxies. This measure of the thermal energy of the galaxy distribution is ideally suited for use with a filtered version of the cosmic energy equation. We discuss the application of the statistic to the Las Campanas Redshift Survey. The low observed dispersion strongly favors cosmological models with low matter density, Omega_m ~ 0.2.

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The Galaxy-Weighted Small-Scale Velocity Dispersion of the Las Campanas Redshift Survey

The pair-weighted relative velocity dispersion of galaxies provides a measure of the thermal energy of fluctuations of the observed galaxy distribution, but the measure is difficult to interpret and is very sensitive to the existence of rare, rich clusters of galaxies. Several alternative statistical procedures have recently been suggested to relieve these problems. We apply a variant of the object-weighted statistical method of Davis, Miller, & White (1997) to the Las Campanas Redshift Survey (LCRS), which is the largest and deepest existing redshift survey that is nearly fully sampled. The derived one-dimensional dispersion on scales ~ 1 Mpc/h is quite low: sigma_1 = 126 +/- 10 km/s, with a modest decrease at larger scales. The statistic is very stable; the six independent slices of the LCRS all yield consistent results. We apply the same statistical procedure to halos in numerical simulations of an open cosmological model and flat models with and without a cosmological constant. In contrast to the LCRS, all the models show a dispersion which increases for scales > 1 Mpc/h; it is uncertain whether this is a numerical artifact or a real physical effect. The standard cluster-normalized Cold Dark Matter model with Omega_m = 1 as well as a tilted variant with n = 0.8 yield dispersions substantially hotter than the LCRS value, while models with low matter density (Omega_m = 0.3) are broadly consistent with the LCRS data. Using a filtered cosmic energy equation, we measure Omega_m ~ 0.2, with small-scale bias factors b = 1.0--1.5 for high-density models and b = 0.7--1.1 for low-density models.

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A Cepheid distance to NGC 4258

Distances measured using Cepheid variable stars have been essential for establishing the cosmological distance scale and the value of the Hubble constant. These stars have remained the primary extragalactic distance indicator since 1929 because of the small observed scatter in the relationship between their pulsation period and luminosity, their large numbers, which allow many independent measures of the distance to a galaxy, and the simplicity of the basic physics underlying their variability. Potential systematic uncertainties in the use of the LMC-calibrated Cepheid period-luminosity relation to determine distances using HST are estimated to be 8-10%. Here we describe the results of a search for Cepheids in the nearby galaxy NGC 4258, which has an independently determined geometric distance of 7.2 +/- 0.5 Mpc (Herrnstein et al. 1999). We obtain a Cepheid distance of 8.1 +/- 0.4 (excluding possible systematic errors affecting all HST Cepheid distances) Mpc; there is a 1.3 sigma difference between the two measurements. If the maser-based distance is adopted and other HST Cepheid distances are revised according to our results, the derived value of the Hubble constant would be increased by 12 +/- 9%, and the corresponding age of the Universe would decrease by the same factor.

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Extrapolation of Galactic Dust Emission at 100 Microns to CMBR Frequencies Using FIRAS

We present predicted full-sky maps of submillimeter and microwave emission from the diffuse interstellar dust in the Galaxy. These maps are extrapolated from the 100 micron emission and 100/240 micron flux ratio maps that Schlegel, Finkbeiner, & Davis (1998; SFD98) generated from IRAS and COBE/DIRBE data. Results are presented for a number of physically plausible emissivity models. We find that no power law emissivity function fits the FIRAS data from 200 - 2100 GHz. In this paper we provide a formalism for a multi-component model for the dust emission. A two-component model with a mixture of silicate and carbon-dominated grains (motivated by Pollack et al., 1994}) provides a fit to an accuracy of about 15% to all the FIRAS data over the entire high-latitude sky. Small systematic differences are found between the atomic and molecular phases of the ISM. Our predictions for the thermal (vibrational) emission from Galactic dust at ν< 3000 GHz are available for general use. These full-sky predictions can be made at the DIRBE resolution of 40' or at the higher resolution of 6.1 arcmin from the SFD98 DIRBE-corrected IRAS maps.

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A Cepheid Distance to NGC 4603 in Centaurus

In an attempt to use Cepheid variables to determine the distance to the Centaurus cluster, we have obtained images of NGC 4603 with the Hubble Space Telescope on 9 epochs using WFPC2 and the F555W and F814W filters. This galaxy has been suggested to lie within the ``Cen30'' portion of the cluster and is the most distant object for which this method has been attempted. Previous distance estimates for Cen30 have varied significantly and some have presented disagreements with the peculiar velocity predicted from redshift surveys, motivating this investigation. Using our observations, we have found 61 candidate Cepheid variable stars; however, a significant fraction of these candidates are likely to be nonvariable stars whose magnitude measurement errors happen to fit a Cepheid light curve of significant amplitude for some choice of period and phase. Through a maximum likelihood technique, we determine that we have observed 43 +/- 7 real Cepheids and that NGC 4603 has a distance modulus of 32.61 +0.11/-0.10 (random, 1 sigma) +0.24/-0.25 (systematic, adding in quadrature), corresponding to a distance of 33.3 Mpc. This is consistent with a number of recent estimates of the distance to NGC 4603 or Cen30 and implies a small peculiar velocity consistent with predictions from the IRAS 1.2 Jy redshift survey if the galaxy lies in the foreground of the cluster.

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WOMBAT & FORECAST: Making Realistic Maps of the Microwave Sky

The Wavelength-Oriented Microwave Background Analysis Team (WOMBAT) is constructing microwave maps which will be more realistic than previous simulations. Our foreground models represent a considerable improvement: where spatial templates are available for a given foreground, we predict the flux and spectral index of that component at each place on the sky and estimate uncertainties. We will produce maps containing simulated CMB anisotropy combined with expected foregrounds. The simulated maps will be provided to the community as the WOMBAT Challenge, so such maps can be analyzed to extract cosmological parameters by scientists who are unaware of their input values. This will test the efficacy of foreground subtraction, power spectrum analysis, and parameter estimation techniques and help identify the areas most in need of progress. These maps are also part of the FORECAST project, which allows web-based access to the known foreground maps for the planning of CMB missions.

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The WOMBAT Challenge: A "Hounds and Hares" Exercise for Cosmology

The Wavelength-Oriented Microwave Background Analysis Team (WOMBAT) is constructing microwave skymaps which will be more realistic than previous simulations. Our foreground models represent a considerable improvement: where spatial templates are available for a given foreground, we predict the flux and spectral index of that component at each place on the sky and estimate the uncertainties in these quantities. We will produce maps containing simulated Cosmic Microwave Background anisotropies combined with all major expected foreground components. The simulated maps will be provided to the cosmology community as the WOMBAT Challenge, a "hounds and hares" exercise where such maps can be analyzed to extract cosmological parameters by scientists who are unaware of their input values. This exercise will test the efficacy of current foreground subtraction, power spectrum analysis, and parameter estimation techniques and will help identify the areas most in need of progress.

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The Deimos Spectrograph and a Planned DEEP Redshift Survey

A second generation spectrograph for the Keck telescope is under construction at the Lick Observatory shops and will be delivered to Hawaii in 1999. Starting in the Fall of 1999, we shall begin the second phase of the DEEP project: a dense redshift survey of galaxies at Z=1. With each pointing of DEIMOS we shall obtain simultaneous short slit spectra of 70-100 galaxies with $m_I(AB) < 23.0$ in a field of 15' by 2'. Four regions of the sky will be studied in detail, with dense sampling in a region of 120'x15' in each region, plus outrigger fields. The galaxies for spectroscopic analysis will be selected by flux limit and by photometric redshift estimate $Z_{photo}>0.7$. The goal is to obtain high quality spectra of perhaps 30,000 galaxies over the course of 2-3 years. We here review the status of DEIMOS and the science objectives of the survey.

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The Velocity Field Predicted by the Optical Redshift Survey

We have used the Optical Redshift Survey (ORS; Santiago et al. 1995) to construct the gravity field due to fluctuations in the galaxy density field out to distances of 8000 km/s. At large scales where linear theory applies, the comparison of this gravity field with the observed peculiar velocity field offers a powerful cosmological probe, because the predicted flow field is proportional to the parameter Omega^{0.6}/b, where Omega is the matter density and b is the bias of the galaxy distribution. The more densely sampled ORS gravity field, to excellent approximation, matches that of the earlier IRAS 1.2-Jy redshift survey (Fisher et al. 1995), provided beta is reduced by a factor b(opt)/b(IRAS)=1.4. Apart from this scaling, the most significant difference between the ORS and IRAS fields is induced by differing estimates of the over-density of the Virgo cluster. Neither of these gravity fields is consistent with the peculiar velocity field constructed from the full Mark III (Willick et al. 1997) sample. We find that a simple but plausible non-linear bias algorithm for the galaxy distribution relative to the mass has a negligible effect on the derived fields. We conclude that the substitution of optical for IRAS catalogues cannot alone resolve the discrepancies between the IRAS gravity field and the Mark III peculiar velocity field.

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Maps of Dust IR Emission for Use in Estimation of Reddening and CMBR Foregrounds

We present a full sky 100 micron map that is a reprocessed composite of the COBE/DIRBE and IRAS/ISSA maps, with the zodiacal foreground and confirmed point sources removed. Before using the ISSA maps, we remove the remaining artifacts from the IRAS scan pattern. Using the DIRBE 100 micron and 240 micron data, we have constructed a map of the dust temperature, so that the 100 micron map can be converted to a map proportional to dust column density. The result of these manipulations is a map with DIRBE-quality calibration and IRAS resolution. To generate the full sky dust maps, we must first remove zodiacal light contamination as well as a possible cosmic infrared background (CIB). This is done via a regression analysis of the 100 micron DIRBE map against the Leiden- Dwingeloo map of H_I emission, with corrections for the zodiacal light via a suitable expansion of the DIRBE 25 micron flux. For the 100 micron map, no significant CIB is detected. In the 140 micron and 240 micron maps, where the zodiacal contamination is weaker, we detect the CIB at surprisingly high flux levels of 32 \pm 13 nW/m^2/sr at 140 micron, and 17 \pm 4 nW/m^2/sr at 240 micron (95% confidence). This integrated flux is ~2 times that extrapolated from optical galaxies in the Hubble Deep Field. The primary use of these maps is likely to be as a new estimator of Galactic extinction. We demonstrate that the new maps are twice as accurate as the older Burstein-Heiles estimates in regions of low and moderate reddening. These dust maps will also be useful for estimating millimeter emission that contaminates CMBR experiments and for estimating soft X-ray absorption.

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The Velocity Field from Type Ia Supernovae Matches the Gravity Field from Galaxy Surveys

We compare the peculiar velocities of nearby SNe Ia with those predicted by the gravity fields of full sky galaxy catalogs. The method provides a powerful test of the gravitational instability paradigm and strong constraints on the density parameter beta = Omega^0.6/b. For 24 SNe Ia within 10,000 km/s we find the observed SNe Ia peculiar velocities are well modeled by the predictions derived from the 1.2 Jy IRAS survey and the Optical Redshift Survey (ORS). Our best $β$ is 0.4 from IRAS, and 0.3 from the ORS, with beta>0.7 and beta<0.15 ruled out at 95% confidence levels from the IRAS comparison. Bootstrap resampling tests show these results to be robust in the mean and in its error. The precision of this technique will improve as additional nearby SNe Ia are discovered and monitored.

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A Galaxy-Weighted Measure of the Relative Peculiar Velocity Dispersion

The relative pair dispersion of galaxies has for the past decade been the standard measure of the thermal energy of fluctuations in the observed galaxy distribution. This statistic is known to be unstable, since it is a pair-weighted measure that is very sensitive to rare, rich clusters of galaxies. As a more stable alternative, we here present a single-particle-weighted statistic $σ_1$, which can be considered as an estimate of the one-dimensional rms peculiar velocity dispersion of galaxies relative to their neighbors, and which can be interpreted by means of a filtered version of the Cosmic-Energy equation. We calculate this statistic for the all-sky survey of IRAS galaxies, finding $σ_1=95 \pm 16 $ km/sec. The UGC catalog yields a higher value, $σ_1=130 \pm 15$ km/s. We calibrate our procedure by means of mock catalogs constructed from N-body simulations and find that our method is stable and has modest biases which can easily be corrected. We use the measured values of $σ_1$ in a filtered Layzer-Irvine equation to obtain an estimate of $\tildeΩ\equiv Ω/b^2$. We find that $\tildeΩ\approx 0.14 \pm 0.05$ for both the IRAS and UGC catalogs, which is slightly lower than other recent determinations, but is consistent with a trend of an effective $Ω$ that increases gradually with scale.

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An estimate of H_0 from Keck spectroscopy of the gravitational lens system 0957+561

We present long-slit LRIS/Keck spectroscopic observations of the gravitational lens system 0957+561. Averaged over all of our data, the rest-frame velocity dispersion sigma_v of the central lens galaxy G1 is sigma_v = 279 +- 12 km/s. However, there appears to be a significant decrease in sigma_v as a function of distance from the center of G1 that is not typical of brightest cluster galaxies. Within 0.2" of the center of G1, we find the average sigma_v = 316+- 14 km/s, whereas for positions > 0.2" from the center of G1, we find the average sigma_v= 266+-12 km/s. A plausible explanation is that G1 contains a central massive dark object of mass M_MDO ~ 4x10^9 h_100^{-1} M_sun (h_100 = H_0/100km/s/Mpc), which contributes to the central velocity dispersion, and that the outer value of sigma_v is the appropriate measure of the depth of the potential well of G1. The determination of a luminosity-weighted estimate of sigma_v is essential for a determination of H_0 from 0957+561; our accurate measurements remove one of the chief uncertainties in the assumed form of the mass distribution of the lens. Thus, with the recent apparent reduction in the uncertainty in the measurement of the time delay for the images A and B of 0957+561, Delta tau_BA = 417+-3 d (Kundic et al. 1996), we obtain an estimate for the Hubble constant: H_0 = 62+-7 km/s/Mpc. If for some reason the trend of sigma_v with slit position is spurious and we should use the dispersion averaged along the slit, then the estimate of H_0 increases to 67+-8 km/s/Mpc. These standard errors do not, however, include any contribution from any errors in the assumed form of the mass distribution of the lens. In particular, we used the mass model described by Falco, Gorenstein & Shapiro (1991), as updated by Grogin & Narayan (1996a, b). The reduced chi^2

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Keck Spectroscopy of Objects with Lens-like Morphologies in the Hubble Deep Field

We present spectroscopy from the Keck telescope of three sets of objects in the Hubble Deep Field which have lens-like morphologies. In the case of J123641+621204, which is composed of four objects with similar colors and a mean separation of <= 0.8", we find at least two distinct components at redshifts of z=3.209 and z=3.220 which are separated by 0.5" spatially. Each of these components has narrow Ly-alpha emission, and possibly NV emission and SiIV and CIV in absorption or with a P-Cygni profile. The second case is J123652+621227, which has an arc-like feature offset by 1.8" to the southwest of a red elliptical-like galaxy, and a ``counterimage'' offset 1.4" on the opposite side. We tentatively find a single line at 5301 AA at the spatial position of the counterimage, and no corresponding emission line at the position of the arc. The colors of the counterimage are consistent with the identification of this line as Ly-alpha at z=3.36. The colors of the arc are different than those of the counterimage, and thus both the colors and spectra indicate that this object is unlikely to be a gravitational lens. For a third lensing candidate (J123656+621221), which is a blue arc offset by 0.9" from a red, elliptical-like galaxy, our spectroscopy does not clearly resolve the system spatially, complicating the interpretation of the spectrum. We discuss possible identifications of features in the spectrum, and find that gravitational lensing remains a possibility in this case. We conclude that the frequency of strong gravitational lensing by galaxies in the HDF appears to be very low. This result is difficult to reconcile with the introduction of a cosmological constant to account for the large number of faint blue galaxies via a large volume element at high redshift.

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Is the Universe Homogeneous on Large Scales?

This contribution is the affirmative side of a debate held with Dr. L. Pietronero at Princeton in June, 1996. I present the observational evidence that the fractal behavior which characterizes the small scale galaxy distribution does not continue to arbitarily large scale, but has a well defined cutoff with an outer length scale of order 30h$^{-1}$ Mpc. For example, plots of the IRAS 1.2 Jy survey exhibit a very clear approach to homogeneity on large scale, in complete contradiction to the endless fractal model.

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Colors and K-Band Counts of Extremely Faint Field Galaxies

We combine deep K-band (Keck) with V- and I-band (NTT) observations of two high-Galactic latitude fields, surveying a total of ~2 sq. arcmin. The K-band galaxy counts continue to rise above K=22, reaching surface densities of few x 10^5 per sq. degree. The slope for the counts is (d log(N) per mag per sq. degree) = 0.23 +/- 0.02 between K=18-23, consistent with other deep K surveys. The numbers of galaxies in each mag bin is about two times greater than the galaxy counts of Djorgovski et al. (1995). The optical and near infrared magnitudes of all objects detected in the V+I+K image are discussed in the context of grids of isochrone synthesis galaxy evolutionary models (Bruzual & Charlot 1993, 1995). The colors of most of the observed galaxies are consistent with a population drawn from a broad redshift distribution. A few galaxies at K=19-20 are red in both colors (V-I>3; I-K>2), consistent with being early-type galaxies having undergone a burst of star formation at z>5 and viewed at z~1. At K>20, we find ~8 ``red outlier'' galaxies with I-K>4 and V-I<2.5, whose colors are difficult to mimic by a single evolving or non-evolving stellar population at any redshift. They are likely either low-metallicity, dusty dwarf galaxies, or old galaxies at high redshift (z>1.2). Their surface density is several per square arcminute, which is so high that they are probably common objects of low luminosity $L<L_*$.

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The two-point correlation function and morphological segregation in the Optical Redshift Survey

We study the clustering of galaxies in real and redshift space using the Optical Redshift Survey (ORS). We estimate the two point correlation function in redshift space, $ξ(s)$, for several subsamples of ORS, spanning nearly a factor of 30 in volume and detect significant variations in $ξ(s)$ among the subsamples covering small volumes. For volumes \gtsima $(75 h^{-1} {\rm Mpc})^{3}$ the ORS subsamples present very similar clustering patterns. Powerlaw fits to $ξ(s)$ give best-fit values in the range $1.5 \leq γ_{s} \leq 1.7 $ and $6.5 \leq s_{0} \leq 8.8 h^{-1}$ Mpc for several samples extending to redshifts of 8000 km s$^{-1}$. We find that $ξ(s)$ is larger for the magnitude-limited sample than for diameter-limited one within a radius of 4000 km s$^{-1}$. We interpret this as an indirect result of morphological segregation coupled with differences in morphological mix. We split ORS into morphological subsamples and confirm the existence of morphological segregation of galaxies out to scales of $s \sim 10 h^{-1}$ Mpc. Our results indicate that the relative bias factor between early type galaxies and late-types may be weakly dependent on scale. If real, this would suggest non-linear biasing. We also compute correlations as a function of radial and projected separations, $ξ(r_p, π)$ and derive the real space correlation function, $ξ(r)$. The results obtained in real space confirm those found using $ξ(s)$.

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Comparison of Velocity and Gravity Fields: The Mark III Tully-Fisher Catalog Versus the IRAS 1.2 Jy Survey

We consider a measure of the peculiar velocity field derived from the Mark III compilation of 2900 spiral galaxies (Willick \etal 1996b), using an analysis that is substantially free of bias (Nusser and Davis 1995). We expand the velocity field in a set of orthogonal, smooth modes, reducing the data to a set of 56 coefficients fitted to a maximum redshift of 6000 km/s, and maximum spherical harmonic of l=3. Equivalent mode coefficients can be computed for the gravity field derived from any whole-sky redshift catalog of galaxies, such as the \iras 1.2 Jy survey (Fisher \etal 1995). Detailed intercomparison shows the two independent fields to be remarkably aligned in general. There are, however, systematic discrepancies in the fields that lead to coherence in the residuals between them. These residuals take the form of a dipole field in the LG frame that grows with distance; it is not consistent with a bulk flow residual. A chi-squared analysis of the mode-mode comparison designed to determine which value of $β\equiv Ω^{0.6}/b$ for the \iras gravity field best fits the Mark III velocity field shows instead that no value of $β$ is acceptable. This is in contrast to the simulated catalogs, and suggests that there must be some systematic discrepancy between the two fields.

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