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With the advent of more and deeper sky surveys, the discovery of interstellar small objects entering into the Solar System has been finally possible. In October 19, 2017, using observations of the Pan-STARRS survey, a fast moving object,…

Earth and Planetary Astrophysics · Physics 2018-05-23 Jorge I. Zuluaga , Oscar Sanchez-Hernandez , Mario Sucerquia , Ignacio Ferrin

We report the emergence of a striking new phenomenon in arithmetic, which we call murmurations. First observed experimentally through averages over large arithmetic datasets, murmurations can be detected and analyzed using standard…

Number Theory · Mathematics 2026-03-11 Yang-Hui He , Kyu-Hwan Lee , Thomas Oliver , Alexey Pozdnyakov

Previously, the most prominent explanation for the Star of Bethlehem was to identify one of many astronomical events in the sky as being the inspiration for the trip of the Magi. However, all the astronomical answers have detailed…

History and Philosophy of Physics · Physics 2016-12-23 Bradley E. Schaefer

The spread of infectious disease in a human community or the proliferation of fake news on social media can be modeled as a randomly growing tree-shaped graph. The history of the random growth process is often unobserved but contains…

Probability · Mathematics 2021-01-15 Harry Crane , Min Xu

We study the seismicity (global seismic activity) that occurred in Greece between 1976 and 2009 based on the dataset reported in Makropoulos et al., 2012, using concepts of Non-extensive Statistical Physics. By considering the entire and…

Chaotic Dynamics · Physics 2015-06-19 Chris G. Antonopoulos , George Michas , Filippos Vallianatos , Tassos Bountis

We present an extensive archaeoastronomical study of the orientations of seventeenth- and eighteenth-century Jesuit churches in the lands of the historic viceroyalty of New Spain. Our sample includes forty-one chapels and churches located…

History and Philosophy of Physics · Physics 2023-11-07 Maria Florencia Muratore , Adrian Di Paolo , Alejandro Gangui

Recently, George Beck introduced two partition statistics $NT(m,j,n)$ and $M_{\omega}(m,j,n)$, which denote the total number of parts in the partition of $n$ with rank congruent to $m$ modulo $j$ and the total number of ones in the…

Combinatorics · Mathematics 2022-03-21 Liuxin Jin , Eric H. Liu , Ernest X. W. Xia

This article brings forward an estimation of the proportion of homonyms in large scale groups based on the distribution of first names and last names in a subset of these groups. The estimation is based on the generalization of the…

Other Statistics · Statistics 2017-07-25 Arthur Charpentier , Baptiste Coulmont

The statistical methods derived and described in this thesis provide new ways to elucidate the structural properties of text and other symbolic sequences. Generically, these methods allow detection of a difference in the frequency of a…

Computation and Language · Computer Science 2012-07-10 Ted Dunning

Consider a supercritical birth and death process where the children acquire mutations. We study the mutation rates along the ancestral lineages in a sample of size $n$ from the population at time $T$. The mutation rate is time-inhomogenous…

Probability · Mathematics 2024-02-27 Yubo Shuai

We searched for young asteroid families -- those with ages t_age < 10 Myr and at least three members -- using the proper element catalog from Nesvorny et al. (2024). Our approach employed the Hierarchical Clustering Method (HCM) in a…

Earth and Planetary Astrophysics · Physics 2025-08-04 David Nesvorny , David Vokrouhlicky , Miroslav Broz , Fernando V. Roig

The first two observational sky "blocks" of the Outer Solar System Origins Survey (OSSOS) have significantly increased the number of well-characterized observed trans-Neptunian objects (TNOs) in Neptune's mean motion resonances. We describe…

We investigate the behaviour of five classical centrality measures--Jordan, rumor, betweenness, degree, and closeness centralities--in the setting of uniform random recursive trees. Motivated by applications in network archaeology, we focus…

Probability · Mathematics 2026-03-23 Richard Coll Josifov , Luc Devroye , Gabor Lugosi

Recently, Mikheyev et al. (2019) have produced a preprint study describing the genomes of nine Khazars archeologically dated from the 7th to the 9th centuries found in the Rostov county in modern-day Russia. Skull morphology indicated a mix…

Populations and Evolution · Quantitative Biology 2020-01-14 Eran Elhaik

In order to fully understand the shapes of asteroids families in the 3-dimensional space of the proper elements $(a_{\rm p}, e_{\rm p}, \sin I_{\rm p})$ it is necessary to compare observed asteroids with N-body simulations. To this point,…

Earth and Planetary Astrophysics · Physics 2018-10-10 Miroslav Brož , Alessandro Morbidelli

We report a potentially new population of objects revealed by the data from the James Webb Space Telescope, which are characterized by their point-like morphology and narrow permitted emission lines. Our sample includes eight objects found…

Astrophysics of Galaxies · Physics 2026-05-26 Haojing Yan , Bangzheng Sun , Riley Shive

Surnames and nonrecombining alleles are inherited from a single parent in a highly similar way. A simple birth-death model with mutations can accurately describe this process. Exponentially growing and constant populations are investigated,…

Statistical Mechanics · Physics 2007-05-23 Susanna C. Manrubia , Damian H. Zanette

A new mechanism is proposed to explain the "anomaly" in $Z \rightarrow b {\bar b}$ resulting in a prediction of a new, non-sequential fourth family whose masses could all be below $M_W$, thus opening up an exciting porpect for near-future…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pham Quang Hung

Cultural astronomy is an interdisciplinary area of research that studies how perceptions and concepts related to the sky are part of the worldview of a culture. One of its branches, archaeoastronomy, focuses on the material remains of past…

History and Philosophy of Physics · Physics 2016-04-04 Alejandro Gangui

Online genealogy datasets contain extensive information about millions of people and their past and present family connections. This vast amount of data can assist in identifying various patterns in human population. In this study, we…

Social and Information Networks · Computer Science 2014-01-07 Michael Fire , Yuval Elovici