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DNA rearrangement processes recombine gene segments that are organized on the chromosome in a variety of ways. The segments can overlap, interleave or one may be a subsegment of another. We use directed graphs to represent segment…

Machine Learning · Statistics 2018-01-30 Mustafa Hajij , Nataša Jonoska , Denys Kukushkin , Masahico Saito

Traditionally globular clusters and dwarf spheroidal galaxies have been distinguished by using one or more of the following criteria: (1) mass, (2) luminosity, (3) size, (4) mass-to-light ratio and (5) spread in metallicity. However, a few…

Astrophysics · Physics 2009-11-13 Sidney van den Bergh

For any cluster algebra whose underlying combinatorial data can be encoded by a bordered surface with marked points, we construct a geometric realization in terms of suitable decorated Teichmueller space of the surface. On the geometric…

Geometric Topology · Mathematics 2018-09-05 Sergey Fomin , Dylan Thurston

The structure of amorphous silicon is widely thought of as a fourfold-connected random network, and yet it is defective atoms, with fewer or more than four bonds, that make it particularly interesting. Despite many attempts to explain such…

We investigate structural properties of old, metal-poor globular clusters (GCs) formed at high redshifts (z>6) and located inside and outside virialized galaxy-scale halos in clusters of galaxies with the total masses of M_CL based on…

Astrophysics · Physics 2009-11-11 Kenji Bekki , Hideki Yahagi

The "chromosome maps" (ChMs) of globular clusters (GCs) have revealed that these ancient structures are not homogeneous in metallicity in various ways, and in different natures. The Type II GCs generally display larger variations, sometimes…

We investigate the properties of globular clusters in a galaxy cluster, using the particle tagging method with a semi-analytical approach in a cosmological context. We assume globular clusters form from dark matter halo mergers and their…

Astrophysics of Galaxies · Physics 2022-12-21 So-Myoung Park , Jihye Shin , Rory Smith , Kyungwon Chun

Clustering of gene expression time series gives insight into which genes may be coregulated, allowing us to discern the activity of pathways in a given microarray experiment. Of particular interest is how a given group of genes varies with…

Quantitative Methods · Quantitative Biology 2018-02-13 Muhammad Arifur Rahman , Paul R. Heath , Neil D. Lawrence

The spatial distribution of Ly-alpha forest absorption systems toward a group of 8, closely spaced QSOs has been analysed and evidence for large scale structure has been found at <z> = 2.8. Our technique is based on the first and second…

Astrophysics · Physics 2007-05-23 J. Liske , J. K. Webb

In this contribution, we present evidence for the occurrence of triangular symmetry in cluster nuclei. We discuss the structure of rotational bands for 3-alpha and 3-alpha+1 configurations with triangular D(3h) symmetry by exploiting the…

Nuclear Theory · Physics 2021-02-03 R. Bijker , A. H. Santana-Valdés

We analyze the fragmentation behavior of random clusters on the lattice under a process where bonds between neighboring sites are successively broken. Modeling such structures by configurations of a generalized Potts or random-cluster model…

Statistical Mechanics · Physics 2016-08-08 Eren Metin Elçi , Martin Weigel , Nikolaos G. Fytas

We consider a novel clustering task in which clusters can have compositional relationships, e.g., one cluster contains images of rectangles, one contains images of circles, and a third (compositional) cluster contains images with both…

Machine Learning · Computer Science 2023-08-04 Zeqian Li , Xinlu He , Jacob Whitehill

We study the morphology of a set of superclusters drawn from the SDSS DR7. We calculate the luminosity density field to determine superclusters from a flux- limited sample of galaxies from SDSS DR7, and select superclusters with 300 and…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 M. Einasto , L. J. Liivamagi , E. Tago , E. Saar , E. Tempel , J. Einasto , V. J. Martinez , P. Heinamaki

$\alpha$-clustering study since the pioneering discovery of $^{12}$C+$^{12}$C molecular resonances half a century ago. Our knowledge on physics of nuclear molecules has increased considerably and nuclear clustering remains one of the most…

Nuclear Experiment · Physics 2017-08-23 C. Beck

We propose a multi-phase approach to explore network structures. In this method, structure analysis is not carried out on the observed network directly. Instead, certain similarity measures of the nodes are derived from the network firstly,…

Physics and Society · Physics 2009-07-03 Xiaofeng Gong , Shuguang Guan , C. -H. Lai

We determine the shape, multiplicity, size, and radial structure of superclusters in the LambdaCDM concordance cosmology from z = 0 to z = 2. Superclusters are defined as clusters of clusters in our large-scale cosmological simulation. We…

Astrophysics · Physics 2008-11-26 James J. Wray , Neta A. Bahcall , Paul Bode , Carl Boettiger , Philip F. Hopkins

The structure of driven three-dimensional complex plasma clusters was studied experimentally. The clusters consisted of around 60 hollow glass spheres with a diameter of 22 microns that were suspended in a plasma of rf discharge in argon.…

Plasma Physics · Physics 2012-12-11 L. Wörner , C. Räth , V. Nosenko , S. K. Zhdanov , H. M. Thomas , G. E. Morfill , J. Schablinski , D. Block

Clustering of data sets is a standard problem in many areas of science and engineering. The method of spectral clustering is based on embedding the data set using a kernel function, and using the top eigenvectors of the normalized Laplacian…

Statistics Theory · Mathematics 2015-04-08 Geoffrey Schiebinger , Martin J. Wainwright , Bin Yu

Formation of a layered structure is studied in a globally coupled map of chaotic units with a plastic coupling strength that changes depending on the states of units globally and an external input. In the parameter region characterized by…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. Ito , K. Kaneko

In the present paper we discuss the clustering procedure in the case where instead of a single metric we have a family of metrics. In this case we can obtain a partially ordered graph of clusters which is not necessarily a tree. We discuss…

Data Structures and Algorithms · Computer Science 2012-08-01 S. Albeverio , S. V. Kozyrev
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