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If a cultural feature is transmitted over generations and exposed to stochastic selection when spreading in a population, its evolution may be governed by statistical laws and be partly predictable, as in the case of genetic evolution.…

物理与社会 · 物理学 2019-11-06 Eita Nakamura , Kunihiko Kaneko

The herd behaviors of returns for the won-dollar exchange rate and the KOSPI are analyzed in Korean financial markets. It is shown that the probability distribution $P(R)$ of price returns $R$ for three values of the herding parameter tends…

统计力学 · 物理学 2009-11-10 Kyungsik Kim , Seong-Min Yoon , Yup Kim

Based on a simple object, an i.i.d. sequence of positive integer-valued random variables, $\{a_n\}_{n\in \mathbb{Z}}$, we introduce and study two random structures and their connections. First, a population dynamics, in which each…

概率论 · 数学 2018-03-23 François Baccelli , Antonio Sodre

Statistical studies of languages have focused on the rank-frequency distribution of words. Instead, we introduce here a measure of how word ranks change in time and call this distribution \emph{rank diversity}. We calculate this diversity…

计算与语言 · 计算机科学 2015-05-15 Germinal Cocho , Jorge Flores , Carlos Gershenson , Carlos Pineda , Sergio Sánchez

In this paper, we compute the distribution of the first letter statistic on nine avoidance classes of permutations corresponding to two pairs of patterns of length four. In particular, we show that the distribution is the same for each…

组合数学 · 数学 2021-04-12 Toufik Mansour , Mark Shattuck

We review the statistical properties of the genealogies of a few models of evolution. In the asexual case, selection leads to coalescence times which grow logarithmically with the size of the population in contrast with the linear growth of…

种群与进化 · 定量生物学 2015-06-04 Éric Brunet , Bernard Derrida

Modern population genetics studies typically involve genome-wide genotyping of individuals from a diverse network of ancestries. An important, unsolved problem is how to formulate and estimate probabilistic models of observed genotypes that…

种群与进化 · 定量生物学 2017-01-10 Wei Hao , Minsun Song , John D. Storey

We propose in this article a brief description of the work, over almost a decade, resulting from a collaboration between mathematicians and biologists from four different research laboratories, identifiable as the co-authors of the articles…

种群与进化 · 定量生物学 2023-05-30 Olivier Mazet , Camille Noûs

This study empirically re-examines fat tails in stock return distributions by applying statistical methods to an extensive dataset taken from the Korean stock market. The tails of the return distributions are shown to be much fatter in…

综合金融 · 定量金融 2019-06-26 Cheoljun Eom , Taisei Kaizoji , Enrico Scalas

Code switching, particularly between Korean and English, has become a defining feature of modern K-pop, reflecting both aesthetic choices and global market strategies. This paper is a primary investigation into the linguistic strategies…

计算与语言 · 计算机科学 2025-09-30 Aditya Narayan Sankaran , Reza Farahbakhsh , Noel Crespi

Gene gain-loss-duplication models are commonly based on continuous-time birth-death processes. Employed in a phylogenetic context, such models have been increasingly popular in studies of gene content evolution across multiple genomes.…

种群与进化 · 定量生物学 2021-07-27 Miklos Csuros

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…

概率论 · 数学 2021-01-15 Harry Crane , Min Xu

We study a model describing the spread of a globalized culture in a population of individuals localized at the nodes of a social network. The influence of this globalized culture, assumed to be foreign to the local culture, is measured by a…

适应与自组织系统 · 物理学 2007-05-23 Nino Boccara

According to many phenomenological and theoretical studies the distribution of family name frequencies in a population can be asymptotically described by a power law. We show that the Galton-Watson process corresponding to the dynamics of a…

物理与社会 · 物理学 2009-07-19 Andrea De Luca , Paolo Rossi

In a recent paper in this journal [J. Stat. Mech. (2009) P02037] we proposed a new, physically motivated, distribution function for modeling individual incomes having its roots in the framework of the k-generalized statistical mechanics.…

综合金融 · 定量金融 2012-12-07 F. Clementi , M. Gallegati , G. Kaniadakis

We introduce a general diploid population model with self-fertilization and possible overlapping generations, and study the genealogy of a sample of $n$ genes as the population size $N$ tends to infinity. Unlike traditional approach in…

概率论 · 数学 2026-01-01 Louis Wai-Tong Fan , Maximillian Newman , John Wakeley

Fisheries scientists use regression models to estimate population quantities, such as biomass or abundance, for use in climate, habitat, stock, and ecosystem assessments. However, these models are sensitive to the chosen probability…

统计方法学 · 统计学 2025-01-13 Jillian C. Dunic , Jason Conner , Sean C. Anderson , James T. Thorson

Gene gains and losses have shaped the gene repertoire of species since the universal last common ancestor to species today. Genes in extant species were gained at different historical times via de novo creation of new genes, duplication of…

种群与进化 · 定量生物学 2018-02-19 Haiming Tang , Paul Thomas , Haoran Xia

Japan is a unique country with a distinct cultural heritage, which is reflected in billions of historical documents that have been preserved. However, the change in Japanese writing system in 1900 made these documents inaccessible for the…

计算与语言 · 计算机科学 2021-06-15 Alex Lamb , Tarin Clanuwat , Siyu Han , Mikel Bober-Irizar , Asanobu Kitamoto