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Joel R. Primack

Other affiliations: Stanford University, Harvard University, University of Oxford  ...read more
Bio: Joel R. Primack is an academic researcher from University of California, Santa Cruz. The author has contributed to research in topics: Galaxy & Galaxy formation and evolution. The author has an hindex of 101, co-authored 483 publications receiving 50646 citations. Previous affiliations of Joel R. Primack include Stanford University & Harvard University.


Papers
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Journal ArticleDOI
TL;DR: In this paper, the authors studied the dark-matter halo density profiles in a high-resolution N-body simulation of a CDM cosmology and found that the redshift dependence of the median concentration is cvirRvir/rs.
Abstract: We study dark-matter halo density profiles in a high-resolution N-body simulation of aCDM cosmology. Our statistical sample contains �5000 haloes in the range 10 11 10 14 h −1 M⊙ and the resolution allows a study of subhaloes inside host haloes. The profiles are parameterized by an NFW form with two parameters, an inner radius rs and a virial radius Rvir, and we define the halo concentration cvirRvir/rs. We find that, for a given halo mass, the redshift dependence of the median concentration is cvir / (1 + z) −1 . This corresponds to rs(z) � constant, and is contrary to earlier suspicions that cvir does not vary much with redshift. The implications are that high- redshift galaxies are predicted to be more extended and dimmer than expected before. Second, we find that the scatter in halo profiles is large, with a 1� �(logcvir) = 0.18 at a given mass, corresponding to a scatter in maximum rotation velocities of �Vmax/Vmax = 0.12. We discuss implications for modelling the Tully-Fisher relation, which has a smaller reported intrinsic scatter. Third, subhaloes and haloes in dense environments tend to be more concentrated than isolated haloes, and show a larger scatter. These results suggest that cvir is an essential parameter for the theory of galaxy modelling, and we briefly discuss implications for the universality of the Tully- Fisher relation, the formation of low surface brightness galaxies, and the origin of the Hubble sequence. We present an improved analytic treatment of halo formation that fits the measured relations between halo parameters and their redshift dependence, and can thus serve semi-analytic studies of galaxy formation.

2,383 citations

Journal ArticleDOI
Norman A. Grogin1, Dale D. Kocevski2, Sandra M. Faber2, Henry C. Ferguson1, Anton M. Koekemoer1, Adam G. Riess3, Viviana Acquaviva4, David M. Alexander5, Omar Almaini6, Matthew L. N. Ashby7, Marco Barden8, Eric F. Bell9, Frédéric Bournaud10, Thomas M. Brown1, Karina Caputi11, Stefano Casertano1, Paolo Cassata12, Marco Castellano, Peter Challis7, Ranga-Ram Chary13, Edmond Cheung2, Michele Cirasuolo14, Christopher J. Conselice6, Asantha Cooray15, Darren J. Croton16, Emanuele Daddi10, Tomas Dahlen1, Romeel Davé17, Duilia F. de Mello18, Duilia F. de Mello19, Avishai Dekel20, Mark Dickinson, Timothy Dolch3, Jennifer L. Donley1, James Dunlop11, Aaron A. Dutton21, David Elbaz10, Giovanni G. Fazio7, Alexei V. Filippenko22, Steven L. Finkelstein23, Adriano Fontana, Jonathan P. Gardner19, Peter M. Garnavich24, Eric Gawiser4, Mauro Giavalisco12, Andrea Grazian, Yicheng Guo12, Nimish P. Hathi25, Boris Häussler6, Philip F. Hopkins22, Jiasheng Huang26, Kuang-Han Huang1, Kuang-Han Huang3, Saurabh Jha4, Jeyhan S. Kartaltepe, Robert P. Kirshner7, David C. Koo2, Kamson Lai2, Kyoung-Soo Lee27, Weidong Li22, Jennifer M. Lotz1, Ray A. Lucas1, Piero Madau2, Patrick J. McCarthy25, Elizabeth J. McGrath2, Daniel H. McIntosh28, Ross J. McLure11, Bahram Mobasher29, Leonidas A. Moustakas13, Mark Mozena2, Kirpal Nandra30, Jeffrey A. Newman31, Sami Niemi1, Kai G. Noeske1, Casey Papovich23, Laura Pentericci, Alexandra Pope12, Joel R. Primack2, Abhijith Rajan1, Swara Ravindranath32, Naveen A. Reddy29, Alvio Renzini, Hans-Walter Rix30, Aday R. Robaina33, Steven A. Rodney3, David J. Rosario30, Piero Rosati34, S. Salimbeni12, Claudia Scarlata35, Brian Siana29, Luc Simard36, Joseph Smidt15, Rachel S. Somerville4, Hyron Spinrad22, Amber Straughn19, Louis-Gregory Strolger37, Olivia Telford31, Harry I. Teplitz13, Jonathan R. Trump2, Arjen van der Wel30, Carolin Villforth1, Risa H. Wechsler38, Benjamin J. Weiner17, Tommy Wiklind39, Vivienne Wild11, Grant W. Wilson12, Stijn Wuyts30, Hao Jing Yan40, Min S. Yun12 
TL;DR: The Cosmic Assembly Near-IR Deep Extragalactic Legacy Survey (CANDELS) as discussed by the authors was designed to document the first third of galactic evolution, from z approx. 8 - 1.5 to test their accuracy as standard candles for cosmology.
Abstract: The Cosmic Assembly Near-IR Deep Extragalactic Legacy Survey (CANDELS) is designed to document the first third of galactic evolution, from z approx. 8 - 1.5. It will image > 250,000 distant galaxies using three separate cameras on the Hubble Space Tele8cope, from the mid-UV to near-IR, and will find and measure Type Ia supernovae beyond z > 1.5 to test their accuracy as standard candles for cosmology. Five premier multi-wavelength sky regions are selected, each with extensive ancillary data. The use of five widely separated fields mitigates cosmic variance and yields statistically robust and complete samples of galaxies down to a stellar mass of 10(exp 9) solar mass to z approx. 2, reaching the knee of the UV luminosity function of galaxies to z approx. 8. The survey covers approximately 800 square arc minutes and is divided into two parts. The CANDELS/Deep survey (5(sigma) point-source limit H =27.7mag) covers approx. 125 square arcminutes within GOODS-N and GOODS-S. The CANDELS/Wide survey includes GOODS and three additional fields (EGS, COSMOS, and UDS) and covers the full area to a 50(sigma) point-source limit of H ? or approx. = 27.0 mag. Together with the Hubble Ultradeep Fields, the strategy creates a three-tiered "wedding cake" approach that has proven efficient for extragalactic surveys. Data from the survey are non-proprietary and are useful for a wide variety of science investigations. In this paper, we describe the basic motivations for the survey, the CANDELS team science goals and the resulting observational requirements, the field selection and geometry, and the observing design.

2,088 citations

Journal ArticleDOI
Anton M. Koekemoer1, Sandra M. Faber2, Henry C. Ferguson1, Norman A. Grogin1, Dale D. Kocevski2, David C. Koo2, Kamson Lai2, Jennifer M. Lotz1, Ray A. Lucas1, Elizabeth J. McGrath2, Sara Ogaz1, Abhijith Rajan1, Adam G. Riess3, S. Rodney3, L. G. Strolger4, Stefano Casertano1, Marco Castellano, Tomas Dahlen1, Mark Dickinson, Timothy Dolch3, Adriano Fontana, Mauro Giavalisco5, Andrea Grazian, Yicheng Guo5, Nimish P. Hathi6, Kuang-Han Huang3, Kuang-Han Huang1, Arjen van der Wel7, Hao Jing Yan8, Viviana Acquaviva9, David M. Alexander10, Omar Almaini11, Matthew L. N. Ashby12, Marco Barden13, Eric F. Bell14, Frédéric Bournaud15, Thomas M. Brown1, Karina Caputi16, Paolo Cassata5, Peter Challis17, Ranga-Ram Chary18, Edmond Cheung2, Michele Cirasuolo16, Christopher J. Conselice11, Asantha Cooray19, Darren J. Croton20, Emanuele Daddi15, Romeel Davé21, Duilia F. de Mello22, Loic de Ravel16, Avishai Dekel23, Jennifer L. Donley1, James Dunlop16, Aaron A. Dutton24, David Elbaz25, Giovanni Fazio12, Alexei V. Filippenko26, Steven L. Finkelstein27, Chris Frazer19, Jonathan P. Gardner22, Peter M. Garnavich28, Eric Gawiser9, Ruth Gruetzbauch11, Will G. Hartley11, B. Haussler11, Jessica Herrington14, Philip F. Hopkins26, J.-S. Huang29, Saurabh Jha9, Andrew Johnson2, Jeyhan S. Kartaltepe3, Ali Ahmad Khostovan19, Robert P. Kirshner12, Caterina Lani11, Kyoung-Soo Lee30, Weidong Li26, Piero Madau2, Patrick J. McCarthy6, Daniel H. McIntosh31, Ross J. McLure, Conor McPartland2, Bahram Mobasher32, Heidi Moreira9, Alice Mortlock11, Leonidas A. Moustakas18, Mark Mozena2, Kirpal Nandra33, Jeffrey A. Newman34, Jennifer L. Nielsen31, Sami Niemi1, Kai G. Noeske1, Casey Papovich27, Laura Pentericci, Alexandra Pope, Joel R. Primack2, Swara Ravindranath35, Naveen A. Reddy, Alvio Renzini, Hans Walter Rix7, Aday R. Robaina, David J. Rosario2, Piero Rosati7, S. Salimbeni5, Claudia Scarlata18, Brian Siana18, Luc Simard36, Joseph Smidt19, D. Snyder2, Rachel S. Somerville1, Hyron Spinrad26, Amber N. Straughn22, Olivia Telford34, Harry I. Teplitz18, Jonathan R. Trump2, Carlos J. Vargas9, Carolin Villforth1, C. Wagner31, P. Wandro2, Risa H. Wechsler37, Benjamin J. Weiner21, Tommy Wiklind1, Vivienne Wild, Grant W. Wilson5, Stijn Wuyts12, Min S. Yun5 
TL;DR: In this paper, the authors describe the Hubble Space Telescope imaging data products and data reduction procedures for the Cosmic Assembly Near-infrared Deep Extragalactic Legacy Survey (CANDELS).
Abstract: This paper describes the Hubble Space Telescope imaging data products and data reduction procedures for the Cosmic Assembly Near-infrared Deep Extragalactic Legacy Survey (CANDELS). This survey is designed to document the evolution of galaxies and black holes at z 1.5-8, and to study Type Ia supernovae at z > 1.5. Five premier multi-wavelength sky regions are selected, each with extensive multi-wavelength observations. The primary CANDELS data consist of imaging obtained in the Wide Field Camera 3 infrared channel (WFC3/IR) and the WFC3 ultraviolet/optical channel, along with the Advanced Camera for Surveys (ACS). The CANDELS/Deep survey covers ~125 arcmin2 within GOODS-N and GOODS-S, while the remainder consists of the CANDELS/Wide survey, achieving a total of ~800 arcmin2 across GOODS and three additional fields (Extended Groth Strip, COSMOS, and Ultra-Deep Survey). We summarize the observational aspects of the survey as motivated by the scientific goals and present a detailed description of the data reduction procedures and products from the survey. Our data reduction methods utilize the most up-to-date calibration files and image combination procedures. We have paid special attention to correcting a range of instrumental effects, including charge transfer efficiency degradation for ACS, removal of electronic bias-striping present in ACS data after Servicing Mission 4, and persistence effects and other artifacts in WFC3/IR. For each field, we release mosaics for individual epochs and eventual mosaics containing data from all epochs combined, to facilitate photometric variability studies and the deepest possible photometry. A more detailed overview of the science goals and observational design of the survey are presented in a companion paper.

2,011 citations

Journal ArticleDOI
Anton M. Koekemoer, Sandra M. Faber, Henry C. Ferguson, Norman A. Grogin, Dale D. Kocevski, David C. Koo, Kamson Lai, Jennifer M. Lotz, Ray A. Lucas, Elizabeth J. McGrath, Sara Ogaz, Abhijith Rajan, Adam G. Riess, S. Rodney, Louis Gregory Strolger, Stefano Casertano, Marco Castellano, Tomas Dahlen, Mark Dickinson, Timothy Dolch, Adriano Fontana, Mauro Giavalisco, Andrea Grazian, Yicheng Guo, Nimish P. Hathi, Kuang-Han Huang, Arjen van der Wel, Haojing Yan, Viviana Acquaviva, David M. Alexander Omar Almaini, Matthew L. N. Ashby, Marco Barden, Eric F. Bell, Frédéric Bournaud, Thomas M. Brown, Karina Caputi, Paolo Cassata, Peter Challis, Ranga-Ram Chary, Edmond Cheung, Michele Cirasuolo, Christopher J. Conselice, Asantha Cooray, Darren J. Croton, Emanuele Daddi, Romeel Davé, Duilia F. de Mello, Loic de Ravel, Avishai Dekel, Jennifer L. Donley, James Dunlop, Aaron A. Dutton, David Elbaz, Giovanni G. Fazio, Alex V. Filippenko, Steven L. Finkelstein, Chris Frazer, Jonathan P. Gardner, Peter M. Garnavich, Eric Gawiser, Ruth Gruetzbauch, Will G. Hartley, Boris Häussler, Jessica Herrington, Philip F. Hopkins, Jiasheng Huang, Saurabh Jha, Andrew Johnson, Jeyhan S. Kartaltepe, Ali Ahmad Khostovan, Robert P. Kirshner, Caterina Lani, Kyoung-Soo Lee, Weidong Li, Piero Madau, Patrick J. McCarthy, Daniel H. McIntosh, Ross J. McLure, Conor McPartland, Bahram Mobasher, Heidi Moreira, Alice Mortlock, Leonidas A. Moustakas, Mark Mozena, Kirpal Nandra, Jeffrey A. Newman, Jennifer L. Nielsen, Sami Niemi, Kai G. Noeske, Casey Papovich, Laura Pentericci, Alexandra Pope, Joel R. Primack, Swara Ravindranath, Naveen A. Reddy, Alvio Renzini, Hans-Walter Rix, Aday R. Robaina, David J. Rosario, Piero Rosati, S. Salimbeni, Claudia Scarlata, Brian Siana, Luc Simard, Joseph Smidt, D. Snyder, Rachel S. Somerville, Hyron Spinrad, Amber Straughn, Olivia Telford, Harry I. Teplitz, Jonathan R. Trump, Carlos J. Vargas, Carolin Villforth, C. Wagner, P. Wandro, Risa H. Wechsler, Benjamin J. Weiner, Tommy Wiklind, Vivienne Wild, Grant W. Wilson, Stijn Wuyts, Min S. Yun 
TL;DR: The Cosmic Assembly Near-IR Deep Extragalactic Legacy Survey (CANDELS) as mentioned in this paper was designed to document the evolution of galaxies and black holes at $z\sim 1.5-8$, and to study Type Ia SNe beyond $z>1.5.
Abstract: This paper describes the Hubble Space Telescope imaging data products and data reduction procedures for the Cosmic Assembly Near-IR Deep Extragalactic Legacy Survey (CANDELS). This survey is designed to document the evolution of galaxies and black holes at $z\sim1.5-8$, and to study Type Ia SNe beyond $z>1.5$. Five premier multi-wavelength sky regions are selected, each with extensive multiwavelength observations. The primary CANDELS data consist of imaging obtained in the Wide Field Camera 3 / infrared channel (WFC3/IR) and UVIS channel, along with the Advanced Camera for Surveys (ACS). The CANDELS/Deep survey covers \sim125 square arcminutes within GOODS-N and GOODS-S, while the remainder consists of the CANDELS/Wide survey, achieving a total of \sim800 square arcminutes across GOODS and three additional fields (EGS, COSMOS, and UDS). We summarize the observational aspects of the survey as motivated by the scientific goals and present a detailed description of the data reduction procedures and products from the survey. Our data reduction methods utilize the most up to date calibration files and image combination procedures. We have paid special attention to correcting a range of instrumental effects, including CTE degradation for ACS, removal of electronic bias-striping present in ACS data after SM4, and persistence effects and other artifacts in WFC3/IR. For each field, we release mosaics for individual epochs and eventual mosaics containing data from all epochs combined, to facilitate photometric variability studies and the deepest possible photometry. A more detailed overview of the science goals and observational design of the survey are presented in a companion paper.

1,917 citations

Journal ArticleDOI
TL;DR: In this paper, the authors analyzed star formation as a function of stellar mass (M☉) and redshift z in the All-Wavelength Extended Groth Strip International Survey.
Abstract: We analyze star formation (SF) as a function of stellar mass (M☉) and redshift z in the All-Wavelength Extended Groth Strip International Survey. For 2905 field galaxies, complete to 10^10(10^10.8 )M at z < 0.7(1), with Keck spectroscopic redshifts out to z = 1.1, we compile SF rates (SFRs) from emission lines, GALEX, and Spitzer MIPS 24 µm photometry, optical-NIR M* measurements, and HST morphologies. Galaxies with reliable signs of SF form a distinct “main sequence” (MS), with a limited range of SFRs at a given M* and z (1 σ ≾ ±0.3 dex), and log (SFR) approximately proportional to log M*. The range of log (SFR) remains constant to z > 1, while the MS as a whole moves to higher SFR as z increases. The range of the SFR along the MS constrains the amplitude of episodic variations of SF and the effect of mergers on the SFR. Typical galaxies spend ∼67%(95%) of their lifetime since z = 1 within a factor of ≾2(4) of their average SFR at a given M* and z. The dominant mode of the evolution of SF since z ∼ 1 is apparently a gradual decline of the average SFR in most individual galaxies, not a decreasing frequency of starburst episodes, or a decreasing factor by which SFRs are enhanced in starbursts. LIRGs at z ∼ 1 seem to mostly reflect the high SFR typical for massive galaxies at that epoch. The smooth MS may reflect that the same set of few physical processes governs SF prior to additional quenching processes. A gradual process like gas exhaustion may play a dominant role.

1,882 citations


Cited by
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Journal ArticleDOI
Claude Amsler1, Michael Doser2, Mario Antonelli, D. M. Asner3  +173 moreInstitutions (86)
TL;DR: This biennial Review summarizes much of particle physics, using data from previous editions.

12,798 citations

Journal ArticleDOI
TL;DR: In this article, the authors find that the emerging standard model of cosmology, a flat -dominated universe seeded by a nearly scale-invariant adiabatic Gaussian fluctuations, fits the WMAP data.
Abstract: WMAP precision data enable accurate testing of cosmological models. We find that the emerging standard model of cosmology, a flat � -dominated universe seeded by a nearly scale-invariant adiabatic Gaussian fluctuations, fits the WMAP data. For the WMAP data only, the best-fit parameters are h ¼ 0:72 � 0:05, � bh 2 ¼ 0:024 � 0:001, � mh 2 ¼ 0:14 � 0:02, � ¼ 0:166 þ0:076 � 0:071 , ns ¼ 0:99 � 0:04, and � 8 ¼ 0:9 � 0:1. With parameters fixed only by WMAP data, we can fit finer scale cosmic microwave background (CMB) measure- ments and measurements of large-scale structure (galaxy surveys and the Lyforest). This simple model is also consistent with a host of other astronomical measurements: its inferred age of the universe is consistent with stellar ages, the baryon/photon ratio is consistent with measurements of the (D/H) ratio, and the inferred Hubble constant is consistent with local observations of the expansion rate. We then fit the model parameters to a combination of WMAP data with other finer scale CMB experiments (ACBAR and CBI), 2dFGRS measurements, and Lyforest data to find the model's best-fit cosmological parameters: h ¼ 0:71 þ0:04 � 0:03 , � bh 2 ¼ 0:0224 � 0:0009, � mh 2 ¼ 0:135 þ0:008 � 0:009 , � ¼ 0:17 � 0:06, ns(0.05 Mpc � 1 )=0 :93 � 0:03, and � 8 ¼ 0:84 � 0:04. WMAP's best determination of � ¼ 0:17 � 0:04 arises directly from the temperature- polarization (TE) data and not from this model fit, but they are consistent. These parameters imply that the age of the universe is 13:7 � 0:2 Gyr. With the Lyforest data, the model favors but does not require a slowly varying spectral index. The significance of this running index is sensitive to the uncertainties in the Ly� forest. By combining WMAP data with other astronomical data, we constrain the geometry of the universe, � tot ¼ 1:02 � 0:02, and the equation of state of the dark energy, w < � 0:78 (95% confidence limit assuming w �� 1). The combination of WMAP and 2dFGRS data constrains the energy density in stable neutrinos: � � h 2 < 0:0072 (95% confidence limit). For three degenerate neutrino species, this limit implies that their mass is less than 0.23 eV (95% confidence limit). The WMAP detection of early reionization rules out warm dark matter. Subject headings: cosmic microwave background — cosmological parameters — cosmology: observations — early universe On-line material: color figure

10,650 citations

Journal ArticleDOI
TL;DR: In this article, high-resolution N-body simulations show that the density profiles of dark matter halos formed in the standard CDM cosmogony can be fit accurately by scaling a simple universal profile.
Abstract: High resolution N-body simulations show that the density profiles of dark matter halos formed in the standard CDM cosmogony can be fit accurately by scaling a simple “universal” profile. Regardless of their mass, halos are nearly isothermal over a large range in radius, but significantly shallower than r -2 near the center and steeper than r -2 in the outer regions. The characteristic overdensity of a halo correlates strongly with halo mass in a manner consistent with the mass dependence of the epoch of halo formation. Matching the shape of the rotation curves of disk galaxies with this halo structure requires (i) disk mass-to-light ratios to increase systematically with luminosity, (ii) halo circular velocities to be systematically lower than the disk rotation speed, and (iii) that the masses of halos surrounding bright galaxies depend only weakly on galaxy luminosity. This offers an attractive explanation for the puzzling lack of correlation between luminosity and dynamics in observed samples of binary galaxies and of satellite companions of bright spiral galaxies, suggesting that the structure of dark matter halos surrounding bright spirals is similar to that of cold dark matter halos.

7,622 citations

Journal ArticleDOI
TL;DR: GADGET-2 as mentioned in this paper is a massively parallel tree-SPH code, capable of following a collisionless fluid with the N-body method, and an ideal gas by means of smoothed particle hydrodynamics.
Abstract: We discuss the cosmological simulation code GADGET-2, a new massively parallel TreeSPH code, capable of following a collisionless fluid with the N-body method, and an ideal gas by means of smoothed particle hydrodynamics (SPH). Our implementation of SPH manifestly conserves energy and entropy in regions free of dissipation, while allowing for fully adaptive smoothing lengths. Gravitational forces are computed with a hierarchical multipole expansion, which can optionally be applied in the form of a TreePM algorithm, where only short-range forces are computed with the ‘tree’ method while long-range forces are determined with Fourier techniques. Time integration is based on a quasi-symplectic scheme where long-range and short-range forces can be integrated with different time-steps. Individual and adaptive short-range time-steps may also be employed. The domain decomposition used in the parallelization algorithm is based on a space-filling curve, resulting in high flexibility and tree force errors that do not depend on the way the domains are cut. The code is efficient in terms of memory consumption and required communication bandwidth. It has been used to compute the first cosmological N-body simulation with more than 10 10 dark matter particles, reaching a homogeneous spatial dynamic range of 10 5 per dimension in a three-dimensional box. It has also been used to carry out very large cosmological SPH simulations that account for radiative cooling and star formation, reaching total particle numbers of more than 250 million. We present the algorithms used by the code and discuss their accuracy and performance using a number of test problems. GADGET-2 is publicly released to the research community. Ke yw ords: methods: numerical ‐ galaxies: interactions ‐ dark matter.

6,196 citations

Journal ArticleDOI
TL;DR: In this article, a simple cosmological model with only six parameters (matter density, Omega_m h^2, baryon density, BH density, Hubble Constant, H_0, amplitude of fluctuations, sigma_8, optical depth, tau, and a slope for the scalar perturbation spectrum, n_s) was proposed to fit the three-year WMAP temperature and polarization data.
Abstract: A simple cosmological model with only six parameters (matter density, Omega_m h^2, baryon density, Omega_b h^2, Hubble Constant, H_0, amplitude of fluctuations, sigma_8, optical depth, tau, and a slope for the scalar perturbation spectrum, n_s) fits not only the three year WMAP temperature and polarization data, but also small scale CMB data, light element abundances, large-scale structure observations, and the supernova luminosity/distance relationship. Using WMAP data only, the best fit values for cosmological parameters for the power-law flat LCDM model are (Omega_m h^2, Omega_b h^2, h, n_s, tau, sigma_8) = 0.1277+0.0080-0.0079, 0.02229+-0.00073, 0.732+0.031-0.032, 0.958+-0.016, 0.089+-0.030, 0.761+0.049-0.048). The three year data dramatically shrink the allowed volume in this six dimensional parameter space. Assuming that the primordial fluctuations are adiabatic with a power law spectrum, the WMAP data_alone_ require dark matter, and favor a spectral index that is significantly less than the Harrison-Zel'dovich-Peebles scale-invariant spectrum (n_s=1, r=0). Models that suppress large-scale power through a running spectral index or a large-scale cut-off in the power spectrum are a better fit to the WMAP and small scale CMB data than the power-law LCDM model: however, the improvement in the fit to the WMAP data is only Delta chi^2 = 3 for 1 extra degree of freedom. The combination of WMAP and other astronomical data yields significant constraints on the geometry of the universe, the equation of state of the dark energy, the gravitational wave energy density, and neutrino properties. Consistent with the predictions of simple inflationary theories, we detect no significant deviations from Gaussianity in the CMB maps.

6,002 citations