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Cosmological studies of large-scale structure have relied on two-point statistics, not fully exploiting the rich structure of the cosmic web. In this paper we show how to capture some of this cosmic web information by using the minimum…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-03 Krishna Naidoo , Lorne Whiteway , Elena Massara , Davide Gualdi , Ofer Lahav , Matteo Viel , Héctor Gil-Marín , Andreu Font-Ribera

Minimal spanning trees (MSTs) have been used in cosmology and astronomy to distinguish distributions of points in a multi-dimensional space. They are essentially unknown in particle physics, however. We briefly define MSTs and illustrate…

Applications · Statistics 2017-03-08 Jessica Lovelace Rainbolt , Michael Schmitt

The minimum spanning tree (MST), a graph constructed from a distribution of points, draws lines between pairs of points so that all points are linked in a single skeletal structure that contains no loops and has minimal total edge length.…

Instrumentation and Methods for Astrophysics · Physics 2019-10-22 Krishna Naidoo

Recent years have witnessed a surge of biological interest in the minimum spanning tree (MST) problem for its relevance to automatic model construction using the distances between data points. Despite the increasing use of MST algorithms…

Quantitative Methods · Quantitative Biology 2015-11-02 Momoko Hayamizu , Hiroshi Endo , Kenji Fukumizu

We study the cosmological information contained in the cosmic web, categorized as four structure types: nodes, filaments, walls, and voids, using the Quijote simulations and a modified nexus+ algorithm. We show that splitting the density…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-15 James Sunseri , Adrian E. Bayer , Jia Liu

China Space Station Telescope (CSST) is a forthcoming powerful Stage IV space-based optical survey equipment. It is expected to explore a number of important cosmological problems in extremely high precision. In this work, we focus on…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-17 Hengjie Lin , Yan Gong , Xuelei Chen , Kwan Chuen Chan , Zuhui Fan , Hu Zhan

Cosmology in the near future promises a measurement of the sum of neutrino masses, a fundamental Standard Model parameter, as well as substantially-improved constraints on the dark energy. We use the shape of the BOSS redshift-space galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-09 Amol Upadhye

Massive cosmic neutrinos change the structure formation history by suppressing perturbations on small scales. Weak lensing data from galaxy surveys probe the structure evolution and thereby can be used to constrain the total mass of the…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-28 Zack Li , Jia Liu , José Manuel Zorrilla Matilla , William R. Coulton

We explore the effects of massive neutrinos on the cosmic web using the FLAMINGO simulations. We classify the cosmic web into voids, sheets, filaments, and clusters, and find that massive neutrinos affect the environment by decreasing the…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-19 Leonor N. L. Simões , Krishna Naidoo , Benjamin Joachimi , Willem Elbers , Carlos S. Frenk

Cosmological neutrino mass and abundance measurements are reaching unprecedented precision. Testing their stability versus redshift and scale is a crucial issue, as it can serve as a guide for optimizing ongoing and future searches. Here,…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-13 Deng Wang , Olga Mena , Eleonora Di Valentino , Stefano Gariazzo

Massive neutrinos suppress the growth of cosmic structure on small, non-linear, scales. It is thus often proposed that using statistics beyond the power spectrum can tighten constraints on the neutrino mass by extracting additional…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-16 Adrian E. Bayer , Arka Banerjee , Uros Seljak

We quantify the information content of the non-linear matter power spectrum, the halo mass function, and the void size function, using the Quijote $N$-body simulations. We find that these three statistics exhibit very different degeneracies…

We compare the model power spectrum, computed based on perturbation theory (PT) with the power spectrum of luminous red galaxies (LRG) measured from the SDSSDR7 catalog, assuming a flat, CDM-dominated cosmology. The model includes the…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-21 Shun Saito , Masahiro Takada , Atsushi Taruya

Cosmological neutrinos have their greatest influence in voids: these are the regions with the highest neutrino to dark matter density ratios. The marked power spectrum can be used to emphasize low density regions over high density regions,…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-13 Elena Massara , Francisco Villaescusa-Navarro , Shirley Ho , Neal Dalal , David N. Spergel

We use the "Dark Energy and Massive Neutrino Universe" (DEMNUni) simulations to compare the constraining power of "sufficient statistics" with the standard matter power spectrum on the sum of neutrino masses, $M_\nu \equiv \sum m_\nu$. In…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-02 M. Wolk , I. Szapudi , J. Bel , C. Carbone , J. Carron

Degeneracies among parameters of the cosmological model are known to drastically limit the information contained in the matter distribution. In the first paper of this series, we shown that the cosmic web environments; namely the voids,…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-21 Tony Bonnaire , Joseph Kuruvilla , Nabila Aghanim , Aurélien Decelle

Minimum spanning trees (MSTs) provide a convenient representation of datasets in numerous pattern recognition activities. Moreover, they are relatively fast to compute. In this paper, we quantify the extent to which they are meaningful in…

Machine Learning · Statistics 2025-10-16 Marek Gagolewski , Anna Cena , Maciej Bartoszuk , Łukasz Brzozowski

We illustrate how recently improved low-redshift cosmological measurements can tighten constraints on neutrino properties. In particular we examine the impact of the assumed cosmological model on the constraints. We first consider the new…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-14 Beth A. Reid , Licia Verde , Raul Jimenez , Olga Mena

We investigate how much the constraints on the neutrino properties can be improved by combining the CMB, the photometric and spectroscopic galaxy redshift surveys which include the CMB lensing, galaxy lensing tomography, galaxy clustering…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Yoshitaka Takeuchi , Kenji Kadota

The future 21 cm intensity mapping observations constitute a promising way to trace the matter distribution of the Universe and probe cosmology. Here we assess its capability for cosmological constraints using as a case study the BINGO…

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