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Merger trees track the evolution of halos across multiple snapshots. They assign for halos of a particular snapshot, the set of halos from previous snapshots they possibly originated from. In this work, Association rule analysis a well…

Instrumentation and Methods for Astrophysics · Physics 2017-01-18 B. Hareesh Gautham , Rahul Nigam

Scalar field comparison is a fundamental task in scientific visualization. In topological data analysis, we compare topological descriptors of scalar fields -- such as persistence diagrams and merge trees -- because they provide succinct…

Computational Geometry · Computer Science 2024-09-18 Weiran Lyu , Raghavendra Sridharamurthy , Jeff M. Phillips , Bei Wang

We present TreeFrog, a massively parallel halo merger tree builder that is capable comparing different halo catalogues and producing halo merger trees. The code is written in c++11, use the MPI and OpenMP API's for parallelisation, and…

Instrumentation and Methods for Astrophysics · Physics 2019-08-15 Pascal J. Elahi , Rhys J. J. Poulton , Rodrigo J. Tobar , Rodrigo Canas , Claudia del P. Lagos , Chris Power , Aaron S. G. Robotham

We construct merger trees from the largest database of dark matter haloes to date provided by the Millennium simulation to quantify the merger rates of haloes over a broad range of descendant halo mass (1e12 < M0 < 1e15 Msun), progenitor…

Astrophysics · Physics 2009-11-13 Onsi Fakhouri , Chung-Pei Ma

A halo merger tree forms the essential backbone of a semi-analytic model for galaxy formation and evolution. Recent studies have pointed out that extracting merger trees from numerical simulations of structure formation is non-trivial;…

We present an algorithm to extend subhalo merger trees in a low-resolution dark-matter-only simulation by conditionally matching them to those in a high-resolution simulation. The algorithm is general and can be applied to simulation data…

Astrophysics of Galaxies · Physics 2025-04-08 Yangyao Chen , H. J. Mo , Cheng Li , Kai Wang , Huiyuan Wang , Xiaohu Yang

In the $\Lambda$CDM universe, structure formation is generally not a self-similar process, while some self-similarity remains in certain statistics which can greatly simplify our description and understanding of the cosmic structures. In…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-12 Wenkang Jiang , Jiaxin Han , Fuyu Dong , Feihong He

Although a fair amount of work has been devoted to growing Monte-Carlo merger trees which resemble those built from an N-body simulation, comparatively little effort has been invested in quantifying the caveats one necessarily encounters…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-03 D. Tweed , J. Devriendt , J. Blaizot , S. Colombi , A. Slyz

Semi-analytic models are best suited to compare galaxy formation and evolution theories with observations. These models rely heavily on halo merger trees, and their realistic features (i.e., no drastic changes on halo mass or jumps on…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-25 Sandra Robles , Jonathan S. Gómez , Adín Ramírez Rivera , Jenny A. González , Nelson D. Padilla , Diego Dujovne

We present a simple and efficient empirical algorithm for constructing dark-matter halo merger trees that reproduce the distribution of trees in the Millennium cosmological $N$-body simulation. The generated trees are significantly better…

Astrophysics · Physics 2009-11-13 Eyal Neistein , Avishai Dekel

Applications in many domains are based on a series of traversals of tree structures, and fusing these traversals together to reduce the total number of passes over the tree is a common, important optimization technique. In applications such…

Programming Languages · Computer Science 2019-04-22 Laith Sakka , Kirshanthan Sundararajah , Ryan R. Newton , Milind Kulkarni

We model the formation and evolution of galaxy clusters in the framework of an extended dark matter halo merger-tree algorithm that includes baryons and incorporates basic physical considerations. Our modified treatment is employed to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Irina Dvorkin , Yoel Rephaeli

Structure identification in cosmological simulations plays an important role in analysing simulation outputs. The definition of these structures directly impacts the inferred properties derived from these simulations. This paper proposes a…

Astrophysics of Galaxies · Physics 2025-01-16 Robel Geda , Romain Teyssier

Cosmological N-body simulations rank among the most computationally intensive efforts today. A key challenge is the analysis of structure, substructure, and the merger history for many billions of compact particle clusters, called halos.…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-20 Esteban Rangel , Nicholas Frontiere , Salman Habib , Katrin Heitmann , Wei-keng Liao , Ankit Agrawal , Alok Choudhary

Algorithms for deriving Huffman codes and the recently developed algorithm for compiling PIFO trees to trees of fixed shape (Mohan et al. 2022) are similar, but work with different underlying algebraic operations. In this paper, we exploit…

Information Theory · Computer Science 2023-01-10 Keri D'Angelo , Dexter Kozen

We present a new algorithm for generating merger trees and halo catalogs which explicitly ensures consistency of halo properties (mass, position, and velocity) across timesteps. Our algorithm has demonstrated the ability to improve both the…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-15 Peter S. Behroozi , Risa H. Wechsler , Hao-Yi Wu , Michael T. Busha , Anatoly A. Klypin , Joel R. Primack

We describe a methodology to accurately compute halo mass functions, progenitor mass functions, merger rates and merger trees in non-cold dark matter universes using a self-consistent treatment of the generalized extended Press-Schechter…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Andrew J. Benson , Arya Farahi , Shaun Cole , Leonidas A. Moustakas , Adrian Jenkins , Mark Lovell , Rachel Kennedy , John Helly , Carlos Frenk

This paper introduces the Cartesian Merkle Tree, a deterministic data structure that combines the properties of a Binary Search Tree, a Heap, and a Merkle tree. The Cartesian Merkle Tree supports insertions, updates, and removals of…

Cryptography and Security · Computer Science 2025-04-16 Artem Chystiakov , Oleh Komendant , Kyrylo Riabov

We describe a new methodology to analyze the reionization process in numerical simulations: the chronology and the geometry of reionization is investigated by means of merger histories of individual HII regions. From the merger tree of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Jonathan Chardin , Dominique Aubert , Pierre Ocvirk

This article concerns the formation and structure of dark matter halos, including (1) their radial density profiles, (2) their abundance, and (3) their merger rates. The last topic may be relevant to the nature of the small, bright,…

Astrophysics · Physics 2007-05-23 J. R. Primack , J. S. Bullock , A. A. Klypin , A. V. Kravtsov