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Persistent homology naturally addresses the multi-scale topological characteristics of the large-scale structure as a distribution of clusters, loops, and voids. We apply this tool to the dark matter halo catalogs from the Quijote…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-31 Jacky H. T. Yip , Matteo Biagetti , Alex Cole , Karthik Viswanathan , Gary Shiu

We develop an analysis pipeline for characterizing the topology of large scale structure and extracting cosmological constraints based on persistent homology. Persistent homology is a technique from topological data analysis that quantifies…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-14 Matteo Biagetti , Alex Cole , Gary Shiu

We present a pipeline for characterizing and constraining initial conditions in cosmology via persistent homology. The cosmological observable of interest is the cosmic web of large scale structure, and the initial conditions in question…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-08 Alex Cole , Matteo Biagetti , Gary Shiu

The 21-cm signal from neutral hydrogen in the early universe will provide unprecedented information about the first stars and galaxies. Extracting this information, however, requires accounting for many unknown astrophysical processes.…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-21 Charlotte A. Mason , Julian B. Muñoz , Bradley Greig , Andrei Mesinger , Jaehong Park

Statistical inference more often than not involves models which are non-linear in the parameters thus leading to non-Gaussian posteriors. Many computational and analytical tools exist that can deal with non-Gaussian distributions, and…

General Relativity and Quantum Cosmology · Physics 2021-01-20 Eileen Giesel , Robert Reischke , Björn Malte Schäfer , Dominic Chia

We investigate the sensitivity of topological and traditional summary statistics to primordial non-Gaussianity (PNG) using two suites of simulations. First, we introduce a new simulation suite for PNG, PNG-pmwd, comprising more than…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-11 Juan Calles , Gabriella Contardo , Jorge Noreña , Jacky H. T. Yip , Gary Shiu

The planning and design of future experiments rely heavily on forecasting to assess the potential scientific value provided by a hypothetical set of measurements. The Fisher information matrix, due to its convenient properties and low…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-10 Joseph Ryan , Brandon Stevenson , Cynthia Trendafilova , Joel Meyers

Persistence diagrams provide stable, interpretable summaries of geometric and topological structure and are useful for simulation-based inference when low-order statistics miss key information. Yet persistence-based pipelines require…

We present measurements of the bispectrum of dark matter halos in numerical simulations with non-Gaussian initial conditions of the local type. We show, in the first place, that the overall effect of primordial non-Gaussianity on the halo…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Emiliano Sefusatti , Martin Crocce , Vincent Desjacques

Primordial non-Gaussianity of local type is known to produce a scale-dependent contribution to the galaxy bias. Several classes of multi-field inflationary models predict non-Gaussian bias which is stochastic, in the sense that dark matter…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-05 Simone Ferraro , Kendrick M. Smith

This is the second paper in the HOWLS (higher-order weak lensing statistics) series exploring the usage of non-Gaussian statistics for cosmology inference within Euclid. With respect to our first paper, we develop a full tomographic…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-18 Euclid Collaboration , S. Vinciguerra , F. Bouchè , N. Martinet , L. Castiblanco , C. Uhlemann , S. Pires , J. Harnois-Déraps , C. Giocoli , M. Baldi , V. F. Cardone , A. Vadalà , N. Dagoneau , L. Linke , E. Sellentin , P. L. Taylor , J. C. Broxterman , S. Heydenreich , V. Tinnaneri Sreekanth , N. Porqueres , L. Porth , M. Gatti , D. Grandón , A. Barthelemy , F. Bernardeau , A. Tersenov , H. Hoekstra , J. -L. Starck , S. Cheng , P. A. Burger , I. Tereno , R. Scaramella , B. Altieri , S. Andreon , N. Auricchio , C. Baccigalupi , S. Bardelli , A. Biviano , E. Branchini , M. Brescia , S. Camera , G. Cañas-Herrera , V. Capobianco , C. Carbone , J. Carretero , M. Castellano , G. Castignani , S. Cavuoti , K. C. Chambers , A. Cimatti , C. Colodro-Conde , G. Congedo , L. Conversi , Y. Copin , F. Courbin , H. M. Courtois , M. Cropper , A. Da Silva , H. Degaudenzi , S. de la Torre , G. De Lucia , H. Dole , F. Dubath , X. Dupac , S. Dusini , S. Escoffier , M. Farina , R. Farinelli , S. Farrens , F. Faustini , S. Ferriol , F. Finelli , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , K. George , B. Gillis , J. Gracia-Carpio , A. Grazian , F. Grupp , S. V. H. Haugan , W. Holmes , F. Hormuth , A. Hornstrup , P. Hudelot , K. Jahnke , M. Jhabvala , B. Joachimi , E. Keihänen , S. Kermiche , A. Kiessling , M. Kilbinger , B. Kubik , M. Kunz , H. Kurki-Suonio , A. M. C. Le Brun , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , D. Maino , O. Mansutti , O. Marggraf , M. Martinelli , F. Marulli , R. J. Massey , E. Medinaceli , S. Mei , M. Melchior , Y. Mellier , M. Meneghetti , G. Meylan , A. Mora , M. Moresco , L. Moscardini , C. Neissner , S. -M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , G. Polenta , M. Poncet , L. A. Popa , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , R. Saglia , Z. Sakr , A. G. Sánchez , D. Sapone , B. Sartoris , P. Schneider , T. Schrabback , A. Secroun , G. Seidel , S. Serrano , C. Sirignano , G. Sirri , A. Spurio Mancini , L. Stanco , J. Steinwagner , P. Tallada-Crespí , A. N. Taylor , N. Tessore , S. Toft , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , J. Valiviita , T. Vassallo , Y. Wang , J. Weller , A. Zacchei , G. Zamorani , F. M. Zerbi , E. Zucca , M. Ballardini , M. Bolzonella , A. Boucaud , E. Bozzo , C. Burigana , R. Cabanac , M. Calabrese , A. Cappi , J. A. Escartin Vigo , L. Gabarra , W. G. Hartley , R. Maoli , J. Martín-Fleitas , S. Matthew , N. Mauri , R. B. Metcalf , A. Pezzotta , M. Pöntinen , I. Risso , V. Scottez , M. Sereno , M. Tenti , M. Viel , M. Wiesmann , Y. Akrami , I. T. Andika , R. E. Angulo , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , E. Aubourg , D. Bertacca , M. Bethermin , A. Blanchard , L. Blot , M. Bonici , S. Borgani , M. L. Brown , S. Bruton , A. Calabro , B. Camacho Quevedo , F. Caro , C. S. Carvalho , T. Castro , F. Cogato , S. Conseil , A. R. Cooray , G. Desprez , A. Díaz-Sánchez , J. J. Diaz , S. Di Domizio , J. M. Diego , M. Y. Elkhashab , Y. Fang , P. G. Ferreira , A. Finoguenov , A. Franco , K. Ganga , J. García-Bellido , T. Gasparetto , V. Gautard , R. Gavazzi , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , M. Guidi , C. M. Gutierrez , A. Hall , S. Hemmati , H. Hildebrandt , J. Hjorth , J. J. E. Kajava , Y. Kang , D. Karagiannis , K. Kiiveri , J. Kim , C. C. Kirkpatrick , S. Kruk , L. Legrand , M. Lembo , F. Lepori , G. Leroy , G. F. Lesci , J. Lesgourgues , T. I. Liaudat , J. Macias-Perez , M. Magliocchetti , F. Mannucci , C. J. A. P. Martins , L. Maurin , M. Miluzio , P. Monaco , C. Moretti , G. Morgante , S. Nadathur , K. Naidoo , A. Navarro-Alsina , S. Nesseris , D. Paoletti , F. Passalacqua , K. Paterson , L. Patrizii , A. Pisani , D. Potter , S. Quai , M. Radovich , S. Sacquegna , M. Sahlén , D. B. Sanders , E. Sarpa , A. Schneider , D. Sciotti , L. C. Smith , K. Tanidis , C. Tao , G. Testera , R. Teyssier , S. Tosi , A. Troja , M. Tucci , D. Vergani , G. Verza , N. A. Walton

Non-Gaussianities of dynamical origin are disentangled from primordial ones using the formalism of large deviation statistics with spherical collapse dynamics. This is achieved by relying on accurate analytical predictions for the one-point…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-27 Cora Uhlemann , Enrico Pajer , Christophe Pichon , Takahiro Nishimichi , Sandrine Codis , Francis Bernardeau

Primordial non-Gaussianity of the local type induces a strong scale-dependent bias on the clustering of halos in the late-time Universe. This signature is particularly promising to provide constraints on the non-Gaussianity parameter…

We study the non-Gaussian tail of the probability distribution function of density in cosmological N-Body simulations for a variety of initial conditions. We compare the behaviour of the non-Gaussian tail in the real space with that in the…

Astrophysics · Physics 2007-05-23 J. S. Bagla , Suryadeep Ray

We investigate the impact of statistical and systematic errors on measurements of linear redshift-space distortions (RSD) in future cosmological surveys, analyzing large catalogues of dark-matter halos from the BASICC simulation. These…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Davide Bianchi , Luigi Guzzo , Enzo Branchini , Elisabetta Majerotto , Sylvain de la Torre , Federico Marulli , Lauro Moscardini , Raul E. Angulo

We investigate the possibility to detect primordial non-Gaussianity by analysing the bulk of the probability distribution function (PDF) of late-time cosmic density fluctuations. For this purpose we devise a new method to predict the impact…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-02 Oliver Friedrich , Cora Uhlemann , Francisco Villaescusa-Navarro , Tobias Baldauf , Marc Manera , Takahiro Nishimichi

The structural and dynamic properties of the dark matter halos, though an important ingredient in understanding large-scale structure formation, require more conservative particle resolution than those required by halo mass alone in a…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-23 Sujatha Ramakrishnan , Premvijay Velmani

The Fisher Information matrix is a widely used measure for applications ranging from statistical inference, information geometry, experiment design, to the study of criticality in biological systems. Yet there is no commonly accepted…

Computation · Statistics 2016-02-17 Omri Har Shemesh , Rick Quax , Borja Miñano , Alfons G. Hoekstra , Peter M. A. Sloot

One of the main signatures of primordial non-Gaussianity of the local type is a scale-dependent correction to the bias of large-scale structure tracers such as galaxies or clusters, whose amplitude depends on the bias of the tracers itself.…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-11 Nico Hamaus , Uros Seljak , Vincent Desjacques

Local-type primordial non-gaussianity generates a distinctive term in the clustering of tracers of large-scale structure, behaving as $k^{-2}$ at small wavenumbers $k$. In order to use this signal in a sample of galaxies to measure the…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-28 Neal Dalal , Will J. Percival
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