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In the wake of the influenza pandemic of 1889-1890 Jacques Bertillon, a pioneer of medical statistics, noticed that after the massive death spike there was a dip in birth numbers around 9 months later which was significantly larger than…

Physics and Society · Physics 2018-01-16 Peter Richmond , Bertrand M. Roehner

We finely describe the "coming down from infinity" for birth and death processes which eventually become extinct. Our biological motivation is to study the decrease of regulated populations which are initially large. Under general…

Probability · Mathematics 2013-10-29 Vincent Bansaye , Sylvie Méléard , Mathieu Richard

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

After birth setting up an effective immune system is a major challenge for all living organisms. In this paper we show that this process can be explored by using the age-specific infant death rate as a kind of sensor. This is made possible…

Medical Physics · Physics 2016-10-10 Peter Richmond , Bertrand M. Roehner

Preterm births occur at an alarming rate of 10-15%. Preemies have a higher risk of infant mortality, developmental retardation and long-term disabilities. Predicting preterm birth is difficult, even for the most experienced clinicians. The…

Machine Learning · Statistics 2016-07-29 Truyen Tran , Wei Luo , Dinh Phung , Jonathan Morris , Kristen Rickard , Svetha Venkatesh

We analyze the dynamic properties of 10^7 words recorded in English, Spanish and Hebrew over the period 1800--2008 in order to gain insight into the coevolution of language and culture. We report language independent patterns useful as…

Physics and Society · Physics 2012-03-16 Alexander M. Petersen , Joel Tenenbaum , Shlomo Havlin , H. Eugene Stanley

Understanding the statistical properties of a collection of individuals subject to random displacements and birth-and-death events is key to several applications in physics and life sciences, encompassing the diagnostic of nuclear reactors…

Statistical Mechanics · Physics 2022-06-22 Théophile Bonnet , Davide Mancusi , Andrea Zoia

In this paper we study the iterated birth process of which we examine the first-passage time distributions and the hitting probabilities. Furthermore, linear birth processes, linear and sublinear death processes at Poisson times are…

Probability · Mathematics 2016-03-23 L. Beghin , E. Orsingher

The concept of fitness as a measure for a species's success in natural selection is central to the theory of evolution. We here investigate how reproduction rates which are not constant but vary in response to environmental fluctuations,…

Populations and Evolution · Quantitative Biology 2015-10-21 Anna Melbinger , Massimo Vergassola

We examine what happens in a population when it experiences an abrupt change in surrounding conditions. Several cases of such "abrupt transitions" for both physical and living social systems are analyzed from which it can be seen that all…

Physics and Society · Physics 2016-03-23 Peter Richmond , Bertrand M. Roehner

Does bearing children shorten a woman's life expectancy? Several demographic studies, historic and current, have found no such effect. But the Caerphilly cohort study is far the most prominent and frequently-cited, and it answers in the…

Populations and Evolution · Quantitative Biology 2009-04-14 Josh Mitteldorf

The distribution of numbers in human documents is determined by a variety of diverse natural and human factors, whose relative significance can be evaluated by studying the numbers' frequency of occurrence. Although it has been studied…

Physics and Society · Physics 2009-11-11 S. N. Dorogovtsev , J. F. F. Mendes , J. G. Oliveira

The dynamics of adaptation is difficult to predict because it is highly stochastic even in large populations. The uncertainty emerges from number fluctuations, called genetic drift, arising in the small number of particularly fit…

Populations and Evolution · Quantitative Biology 2015-06-30 Oskar Hallatschek , Lukas Geyrhofer

Speech is a distinctive complex feature of human capabilities. In order to understand the physics underlying speech production, in this work we empirically analyse the statistics of large human speech datasets ranging several languages. We…

Physics and Society · Physics 2014-08-06 Jordi Luque , Bartolo Luque , Lucas Lacasa

Fertility choices are linked to the different preferences and constraints of individuals and couples, and vary importantly by socio-economic status, as well by cultural and institutional context. The meaning of childbearing and…

Computers and Society · Computer Science 2017-03-14 Jussi Ojala , Emilio Zagheni , Francesco C. Billari , Ingmar Weber

This paper is devoted to the problem of statistical mechanics raised by the analysis of an issue of sociological interest: the teen birth phenomenon. It is expected that these data are characterized by correlated fluctuations, reflecting…

Data Analysis, Statistics and Probability · Physics 2009-11-10 M. Ignaccolo , P. Allegrini , P. Grigolini , P. Hamilton , B. J. West

Fluctuations of observables as functions of time, or "fluctuation patterns", are studied in a chaotic microscopically reversible system that has irreversibly reached a nonequilibrium stationary state. Supposing that during a certain, long…

chao-dyn · Physics 2008-10-08 G. Gallavotti

Fast radio bursts are extragalactic, sub-millisecond radio impulses of unknown origin [1,2]. Their dispersion measures, which quantify the observed frequency-dependent dispersive delays in terms of free-electron column densities,…

High Energy Astrophysical Phenomena · Physics 2019-07-16 Vikram Ravi

We investigate the dynamics of the voter model in which the population itself changes endogenously via the birth-death process. There are two species of voters, labeled A and B, and the population of each species can grow or shrink by the…

Populations and Evolution · Quantitative Biology 2019-06-17 Deepak Bhat , Jordi Piñero , S. Redner

In part 1 we identified a new coupling between death spikes and birth dips that occurs following catastrophic events such as influenza pandemics and earthquakes. Here we seek to characterize some of the key features. We introduce a transfer…

Physics and Society · Physics 2018-01-16 Peter Richmond , Bertrand M. Roehner
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