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We have a well-established standard model for cosmology and prospects for considerable additions from work in progress. I offer a list of elements of the standard model, comments on controversies in the interpretation of the evidence in…

Astrophysics · Physics 2007-05-23 P. J. E. Peebles

One working hypothesis on which analyses of cosmological data are based is the zero ensemble mean hypothesis, which is related to the statistical homogeneity of cosmological perturbations. This hypothesis, however, should be tested by…

Cosmology and Nongalactic Astrophysics · Physics 2014-12-24 Kiyotomo Ichiki

Six challenges for the standard cosmological model $\Lambda$CDM are listed, which arise when comparing theoretical predictions with observational data on scales of ~1 Mpc. Different parameters of luminous and dwarf galaxies in the local…

General Relativity and Quantum Cosmology · Physics 2026-05-29 I. D. Karachentsev

Much attention has been given to the problem of estimating cosmological parameters from the $C_l$ measured by future experiments. Many of the approaches which are being used either invoke poorly controlled approximations or are…

Astrophysics · Physics 2007-05-23 Benjamin D. Wandelt , Eric Hivon , Krzysztof M. Gorski

Our current description of the large-scale Universe is now known with a precision undreamt of a generation ago. Within the simple standard cosmological model only six basic parameters are required. The usual parameter set includes…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-30 Douglas Scott , Ali Narimani , Don N. Page

The standard model of cosmology has provided a good phenomenological description of a wide range of observations both at astrophysical and cosmological scales for several decades. This concordance model is constructed by a universal…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-26 Eleonora Di Valentino , Jackson Levi Said , Adam Riess , Agnieszka Pollo , Vivian Poulin , Adrià Gómez-Valent , Amanda Weltman , Antonella Palmese , Caroline D. Huang , Carsten van de Bruck , Chandra Shekhar Saraf , Cheng-Yu Kuo , Cora Uhlemann , Daniela Grandón , Dante Paz , Dominique Eckert , Elsa M. Teixeira , Emmanuel N. Saridakis , Eoin Ó Colgáin , Florian Beutler , Florian Niedermann , Francesco Bajardi , Gabriela Barenboim , Giulia Gubitosi , Ilaria Musella , Indranil Banik , Istvan Szapudi , Jack Singal , Jaume Haro Cases , Jens Chluba , Jesús Torrado , Jurgen Mifsud , Karsten Jedamzik , Khaled Said , Konstantinos Dialektopoulos , Laura Herold , Leandros Perivolaropoulos , Lei Zu , Lluís Galbany , Louise Breuval , Luca Visinelli , Luis A. Escamilla , Luis A. Anchordoqui , M. M. Sheikh-Jabbari , Margherita Lembo , Maria Giovanna Dainotti , Maria Vincenzi , Marika Asgari , Martina Gerbino , Matteo Forconi , Michele Cantiello , Michele Moresco , Micol Benetti , Nils Schöneberg , Özgür Akarsu , Rafael C. Nunes , Reginald Christian Bernardo , Ricardo Chávez , Richard I. Anderson , Richard Watkins , Salvatore Capozziello , Siyang Li , Sunny Vagnozzi , Supriya Pan , Tommaso Treu , Vid Irsic , Will Handley , William Giarè , Yukei Murakami , Adèle Poudou , Alan Heavens , Alan Kogut , Alba Domi , Aleksander Łukasz Lenart , Alessandro Melchiorri , Alessandro Vadalà , Alexandra Amon , Alexander Bonilla , Alexander Reeves , Alexander Zhuk , Alfio Bonanno , Ali Övgün , Alice Pisani , Alireza Talebian , Amare Abebe , Amin Aboubrahim , Ana Luisa González Morán , András Kovács , Andreas Papatriantafyllou , Andrew R. Liddle , Andreas Lymperis , Andronikos Paliathanasis , Andrzej Borowiec , Anil Kumar Yadav , Anita Yadav , Anjan Ananda Sen , Anjitha John William Mini Latha , Anne Christine Davis , Anowar J. Shajib , Anthony Walters , Anto Idicherian Lonappan , Anton Chudaykin , Antonio Capodagli , Antonio da Silva , Antonio De Felice , Antonio Racioppi , Araceli Soler Oficial , Ariadna Montiel , Arianna Favale , Armando Bernui , Arrianne Crystal Velasco , Asta Heinesen , Athanasios Bakopoulos , Athanasios Chatzistavrakidis , Bahman Khanpour , Bangalore S. Sathyaprakash , Bartek Zgirski , Benjamin L'Huillier , Benoit Famaey , Bhuvnesh Jain , Biesiada Marek , Bing Zhang , Biswajit Karmakar , Branko Dragovich , Brooks Thomas , Carlos Correa , Carlos G. Boiza , Catarina Marques , Celia Escamilla-Rivera , Charalampos Tzerefos , Chi Zhang , Chiara De Leo , Christian Pfeifer , Christine Lee , Christo Venter , Cláudio Gomes , Clecio Roque De bom , Cristian Moreno-Pulido , Damianos Iosifidis , Dan Grin , Daniel Blixt , Dan Scolnic , Daniele Oriti , Daria Dobrycheva , Dario Bettoni , David Benisty , David Fernández-Arenas , David L. Wiltshire , David Sanchez Cid , David Tamayo , David Valls-Gabaud , Davide Pedrotti , Deng Wang , Denitsa Staicova , Despoina Totolou , Diego Rubiera-Garcia , Dinko Milaković , Dom Pesce , Dominique Sluse , Duško Borka , Ebrahim Yusofi , Elena Giusarma , Elena Terlevich , Elena Tomasetti , Elias C. Vagenas , Elisa Fazzari , Elisa G. M. Ferreira , Elvis Barakovic , Emanuela Dimastrogiovanni , Emil Brinch Holm , Emil Mottola , Emre Özülker , Enrico Specogna , Enzo Brocato , Erik Jensko , Erika Antonette Enriquez , Esha Bhatia , Fabio Bresolin , Felipe Avila , Filippo Bouchè , Flavio Bombacigno , Fotios K. Anagnostopoulos , Francesco Pace , Francesco Sorrenti , Francisco S. N. Lobo , Frédéric Courbin , Frode K. Hansen , Greg Sloan , Gabriel Farrugia , Gabriel Lynch , Gabriela Garcia-Arroyo , Gabriella Raimondo , Gaetano Lambiase , Gagandeep S. Anand , Gaspard Poulot , Genly Leon , Gerasimos Kouniatalis , Germano Nardini , Géza Csörnyei , Giacomo Galloni , Giada Bargiacchi , Giannis Papagiannopoulos , Giovanni Montani , Giovanni Otalora , Giulia De Somma , Giuliana Fiorentino , Giuseppe Fanizza , Giuseppe Gaetano Luciano , Giuseppe Sarracino , Gonzalo J. Olmo , Goran S. Djordjević , Guadalupe Cañas-Herrera , Hanyu Cheng , Harry Desmond , Hassan Abdalla , Houzun Chen , Hsu-Wen Chiang , Hume A. Feldman , Hussain Gohar , Ido Ben-Dayan , Ignacio Sevilla-Noarbe , Ignatios Antoniadis , Ilim Cimdiker , Inês S. Albuquerque , Ioannis D. Gialamas , Ippocratis Saltas , Iryna Vavilova , Isidro Gómez-Vargas , Ismael Ayuso , Ismailov Nariman Zeynalabdi , Ivan De Martino , Ivonne Zavala , J. Alberto Vázquez , Jacobo Asorey , Janusz Gluza , Javier Rubio , Jenny G. Sorce , Jenny Wagner , Jeremy Sakstein , Jessica Santiago , Jim Braatz , Joan Solà Peracaula , John Blakeslee , John Webb , Jose A. R. Cembranos , José Pedro Mimoso , Joseph Jensen , Juan García-Bellido , Judit Prat , Kathleen Sammut , Kay Lehnert , Keith R. Dienes , Kishan Deka , Konrad Kuijken , Krishna Naidoo , László Árpád Gergely , Laur Järv , Laura Mersini-Houghton , Leila L. Graef , Léo Vacher , Levon Pogosian , Lilia Anguelova , Lindita Hamolli , Lu Yin , Luca Caloni , Luca Izzo , Lucas Macri , Luis E. Padilla , Luz Ángela García , Maciej Bilicki , Mahdi Najafi , Manolis Plionis , Manuel Gonzalez-Espinoza , Manuel Hohmann , Marcel A. van der Westhuizen , Marcella Marconi , Marcin Postolak , Marco de Cesare , Marco Regis , Marek Biesiada , Maret Einasto , Margus Saal , Maria Caruana , Maria Petronikolou , Mariam Bouhmadi-López , Mariana Melo , Mariaveronica De Angelis , Marie-Noëlle Célérier , Marina Cortês , Mark Reid , Markus Michael Rau , Martin S. Sloth , Martti Raidal , Masahiro Takada , Masoume Reyhani , Massimiliano Romanello , Massimo Marengo , Mathias Garny , Matías Leizerovich , Matteo Martinelli , Matteo Tagliazucchi , Mehmet Demirci , Miguel A. S. Pinto , Miguel A. Sabogal , Miguel A. García-Aspeitia , Milan Milošević , Mina Ghodsi , Mustapha Ishak , Nelson J. Nunes , Nick Samaras , Nico Hamaus , Nico Schuster , Nicola Borghi , Nicola Deiosso , Nicola Tamanini , Nicolao Fornengo , Nihan Katırcı , Nikolaos E. Mavromatos , Nicholas Petropoulos , Nikolina Šarčević , Nils A. Nilsson , Noemi Frusciante , Octavian Postavaru , Oem Trivedi , Oleksii Sokoliuk , Olga Mena , Paloma Morilla , Paolo Campeti , Paolo Salucci , Paula Boubel , Paweł Bielewicz , Pekka Heinämäki , Petar Suman , Petros Asimakis , Pierros Ntelis , Pilar Ruiz-Lapuente , Pran Nath , Predrag Jovanović , Purba Mukherjee , Radosław Wojtak , Rafaela Gsponer , Rafid H. Dejrah , Rahul Shah , Rasmi Hajjar , Rebecca Briffa , Rebecca Habas , Reggie C. Pantig , Renier Mendoza , Riccardo Della Monica , Richard Stiskalek , Rishav Roshan , Rita B. Neves , Roberto Molinaro , Roberto Terlevich , Rocco D'Agostino , Rodrigo Sandoval-Orozco , Ronaldo C. Batista , Ruchika Kaushik , Ruth Lazkoz , Saeed Rastgoo , Sahar Mohammadi , Salvatore Samuele Sirletti , Sandeep Haridasu , Sanjay Mandal , Saurya Das , Sebastian Bahamonde , Sebastian Grandis , Sebastian Trojanowski , Sergei D. Odintsov , Sergij Mazurenko , Shahab Joudaki , Sherry H. Suyu , Shouvik Roy Choudhury , Shruti Bhatporia , Shun-Sheng Li , Simeon Bird , Simon Birrer , Simone Paradiso , Simony Santos da Costa , Sofia Contarini , Sophie Henrot-Versillé , Spyros Basilakos , Stefano Casertano , Stefano Gariazzo , Stylianos A. Tsilioukas , Surajit Kalita , Suresh Kumar , Susana J. Landau , Sveva Castello , Swayamtrupta Panda , Tanja Petrushevska , Thanasis Karakasis , Thejs Brinckmann , Tiago B. Gonçalves , Tiziano Schiavone , Tom Abel , Tomi Koivisto , Torsten Bringmann , Umut Demirbozan , Utkarsh Kumar , Valerio Marra , Maurice H. P. M. van Putten , Vasileios Kalaitzidis , Vasiliki A. Mitsou , Vasilios Zarikas , Vedad Pasic , Venus Keus , Verónica Motta , Vesna Borka Jovanović , Víctor H. Cárdenas , Vincenzo Ripepi , Vincenzo Salzano , Violetta Impellizzeri , Vitor da Fonseca , Vittorio Ghirardini , Vladas Vansevičius , Weiqiang Yang , Wojciech Hellwing , Xin Ren , Yu-Min Hu , Yuejia Zhai , Abdul Malik Sultan , Adrienn Pataki , Alessandro Santoni , Aliya Batool , Aneta Wojnar , Arman Tursunov , Avik De , Ayush Hazarika , Baojiu Li , Benjamin Bose , Bivudutta Mishra , Bobomurat Ahmedov , Chandra Shekhar Saraf , Claudia Scóccola , Crescenzo Tortora , D'Arcy Kenworthy , Daniel E. Holz , David F. Mota , David S. Pereira , Devon M. Williams , Dillon Brout , Dong Ha Lee , Eduardo Guendelman , Edward Olex , Emanuelly Silva , Emre Onur Kahya , Enzo Brocato , Eva-Maria Mueller , Felipe Andrade-Oliveira , Feven Markos Hunde , F. R. Joaquim , Florian Pacaud , Francis-Yan Cyr-Racine , Pozo Nuñez , F. Gábor Rácz , Gene Carlo Belinario , Geraint F. Lewis , Gergely Dálya , Giorgio Laverda , Guido Risaliti , Guillermo Franco-Abellán , Hayden Zammit , Hayley Camilleri , Helene M. Courtois , Hooman Moradpour , Igor de Oliveira Cardoso Pedreira , Ilí dio Lopes , István Csabai , James W. Rohlf , J. Bogdanoska , Javier de Cruz Pérez , Joan Bachs-Esteban , Joseph Sultana , Julien Lesgourgues , Jun-Qian Jiang , Karem Peñaló Castillo , Kimet Jusufi , Lavinia Heisenberg , Laxmipriya Pati , Léon V. E. Koopmans , Lokesh kumar Duchaniya , Lucas Lombriser , Mahdieh Gol Bashmani Moghadam , María Pérez Garrote , Mariano Domínguez , Marine Samsonyan , Mark Pace , Martin Krššák , Masroor C. Pookkillath , Matteo Peronaci , Matteo Piani , Matthildi Raftogianni , Meet J. Vyas , Melina Michalopoulou , Merab Gogberashvili , Michael Klasen , Michele Cicoli , Michele Moresco , Miguel Quartin , Miguel Zumalacárregui , Milan S. Dimitrijević , Milos Dordevic , Mindaugas Karčiauskas , Morgan Le Delliou , Nastassia Grimm , Nicolás Augusto Kozameh , Nicoleta Voicu , Nicolina Pop , Nikos Chatzifotis , Oliver Fabio Piattella , Paula Boubel , Pedro da Silveira Ferreira , Péter Raffai , Peter Schupp , Pierros Ntelis , Pradyumn Kumar Sahoo , Roberto V. Maluf , Ruth Durrer , S. A. Kadam , Sabino Matarrese , Samuel Brieden , Santiago González-Gaitán , Santosh V. Lohakare , Scott Watson , Shao-Jiang Wang , Simão Marques Nunes , Soumya Chakrabarti , Suvodip Mukherjee , Tajron Jurić , Tessa Baker , Theodoros Nakas , Tiago Barreiro , Upala Mukhopadhyay , Veljko Vujčić , Violetta Sagun , Vladimir A. Srećković , Wangzheng Zhang , Yo Toda , Yun-Song Piao , Zahra Davari

The majority of present efforts to constrain cosmological parameters with cosmic microwave background (CMB) anisotropy data employ approximate likelihood functions, the time consuming nature of a complete analysis being a major obstacle. We…

Astrophysics · Physics 2007-05-23 M. Douspis , J. G. Bartlett , A. Blanchard , M. Le Dour

We derive constraints on cosmological parameters using the power spectrum of galaxy clustering measured from the final two-degree field galaxy redshift survey (2dFGRS) and a compilation of measurements of the temperature power spectrum and…

This is a review article for The Review of Particle Physics 2014 (aka the Particle Data Book). It forms a compact review of knowledge of the cosmological parameters at the beginning of 2014. Topics included are Parametrizing the Universe;…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-08 Ofer Lahav , Andrew R Liddle

The power spectrum of mass density fluctuations is evaluated from the Mark III and the SFI catalogs of peculiar velocities by a maximum likelihood analysis, using parametric models for the power spectrum and for the errors. The applications…

Astrophysics · Physics 2007-05-23 Idit Zehavi , Avishai Dekel

Robustness of any statistics depends upon the number of assumptions it makes about the measured data. We point out the advantages of median statistics using toy numerical experiments and demonstrate its robustness, when the number of…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-14 Suryarao Bethapudi , Shantanu Desai

The Planck satellite is expected to improve the measurement of most cosmological parameters by several factors with respect to current WMAP results. The actual performance may depend upon various aspects of the data analysis. In this paper…

Astrophysics · Physics 2010-11-02 L. P. L. Colombo , E. Pierpaoli , J. R. Pritchard

We derived constraints on cosmological parameters using weak lensing peak statistics measured on the $\sim130~{\rm deg}^2$ of the Canada-France-Hawaii Telescope Stripe 82 Survey (CS82). This analysis demonstrates the feasibility of using…

We compute the constraints on a ``standard'' 10 parameter cold dark matter (CDM) model from the most recent CMB and data and other observations, exploring 30 million discrete models and two continuous parameters. Our parameters are the…

Astrophysics · Physics 2009-09-25 Max Tegmark , Matias Zaldarriaga

We present cosmological parameter results from the final full-mission Planck measurements of the CMB anisotropies. We find good consistency with the standard spatially-flat 6-parameter $\Lambda$CDM cosmology having a power-law spectrum of…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-10 Planck Collaboration , N. Aghanim , Y. Akrami , M. Ashdown , J. Aumont , C. Baccigalupi , M. Ballardini , A. J. Banday , R. B. Barreiro , N. Bartolo , S. Basak , R. Battye , K. Benabed , J. -P. Bernard , M. Bersanelli , P. Bielewicz , J. J. Bock , J. R. Bond , J. Borrill , F. R. Bouchet , F. Boulanger , M. Bucher , C. Burigana , R. C. Butler , E. Calabrese , J. -F. Cardoso , J. Carron , A. Challinor , H. C. Chiang , J. Chluba , L. P. L. Colombo , C. Combet , D. Contreras , B. P. Crill , F. Cuttaia , P. de Bernardis , G. de Zotti , J. Delabrouille , J. -M. Delouis , E. Di Valentino , J. M. Diego , O. Doré , M. Douspis , A. Ducout , X. Dupac , S. Dusini , G. Efstathiou , F. Elsner , T. A. Enßlin , H. K. Eriksen , Y. Fantaye , M. Farhang , J. Fergusson , R. Fernandez-Cobos , F. Finelli , F. Forastieri , M. Frailis , A. A. Fraisse , E. Franceschi , A. Frolov , S. Galeotta , S. Galli , K. Ganga , R. T. Génova-Santos , M. Gerbino , T. Ghosh , J. González-Nuevo , K. M. Górski , S. Gratton , A. Gruppuso , J. E. Gudmundsson , J. Hamann , W. Handley , F. K. Hansen , D. Herranz , S. R. Hildebrandt , E. Hivon , Z. Huang , A. H. Jaffe , W. C. Jones , A. Karakci , E. Keihänen , R. Keskitalo , K. Kiiveri , J. Kim , T. S. Kisner , L. Knox , N. Krachmalnicoff , M. Kunz , H. Kurki-Suonio , G. Lagache , J. -M. Lamarre , A. Lasenby , M. Lattanzi , C. R. Lawrence , M. Le Jeune , P. Lemos , J. Lesgourgues , F. Levrier , A. Lewis , M. Liguori , P. B. Lilje , M. Lilley , V. Lindholm , M. López-Caniego , P. M. Lubin , Y. -Z. Ma , J. F. Macías-Pérez , G. Maggio , D. Maino , N. Mandolesi , A. Mangilli , A. Marcos-Caballero , M. Maris , P. G. Martin , M. Martinelli , E. Martínez-González , S. Matarrese , N. Mauri , J. D. McEwen , P. R. Meinhold , A. Melchiorri , A. Mennella , M. Migliaccio , M. Millea , S. Mitra , M. -A. Miville-Deschênes , D. Molinari , L. Montier , G. Morgante , A. Moss , P. Natoli , H. U. Nørgaard-Nielsen , L. Pagano , D. Paoletti , B. Partridge , G. Patanchon , H. V. Peiris , F. Perrotta , V. Pettorino , F. Piacentini , L. Polastri , G. Polenta , J. -L. Puget , J. P. Rachen , M. Reinecke , M. Remazeilles , A. Renzi , G. Rocha , C. Rosset , G. Roudier , J. A. Rubiño-Martín , B. Ruiz-Granados , L. Salvati , M. Sandri , M. Savelainen , D. Scott , E. P. S. Shellard , C. Sirignano , G. Sirri , L. D. Spencer , R. Sunyaev , A. -S. Suur-Uski , J. A. Tauber , D. Tavagnacco , M. Tenti , L. Toffolatti , M. Tomasi , T. Trombetti , L. Valenziano , J. Valiviita , B. Van Tent , L. Vibert , P. Vielva , F. Villa , N. Vittorio , B. D. Wandelt , I. K. Wehus , M. White , S. D. M. White , A. Zacchei , A. Zonca

Accurate measurements of the cosmic microwave background (CMB) anisotropies with an angular resolution of a few arcminutes can be used to determine fundamental cosmological parameters such as the densities of baryons, cold and hot dark…

Astrophysics · Physics 2016-01-13 J. Richard Bond , George Efstathiou , Max Tegmark

Recently funded satellites will map the cosmic microwave background radiation with unprecedented sensitivities and angular resolutions. Assuming only primordial adiabatic scalar and tensor perturbations, we evaluate how accurately…

Astrophysics · Physics 2009-10-28 Arthur Kosowsky , Marc Kamionkowski , Gerard Jungman , David N. Spergel

Fourteen classical double radio galaxies with redshifts between zero and two were used to determine the cosmological parameters $\Omega_m$, $\Omega_{\Lambda}$, and $\Omega_k$, where these are the normalized values of the mean mass density,…

Astrophysics · Physics 2007-05-23 Ruth A. Daly , E. J. Guerra , Lin Wan

The averaging problem in cosmology is of considerable importance for the correct interpretation of cosmological data. We review cosmological observations and discuss some of the issues regarding averaging. We present a precise definition of…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-07 Alan Coley

In the past decade, observational cosmology has had one of the most exciting periods in the past century. The precision with which we have been able to measure cosmological parameters has increased tremendously, while at the same time, we…

Astrophysics · Physics 2009-11-07 Lawrence M. Krauss