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The phenomenon of spatial clustering induced by death and reproduction in a population of anomalously diffusing individuals is studied analytically. The possibility of social behaviors affecting the migration strategies has been taken into…

Populations and Evolution · Quantitative Biology 2015-05-30 Piero Olla

Large-scale human mobility data is a key resource in data-driven policy making and across many scientific fields. Most recently, mobility data was extensively used during the COVID-19 pandemic to study the effects of governmental policies…

Physics and Society · Physics 2021-12-24 Frank Schlosser , Vedran Sekara , Dirk Brockmann , Manuel Garcia-Herranz

Whether in search of better trade opportunities or escaping wars, humans have always been on the move. For almost a century, mathematical models of human mobility have been instrumental in the quantification of commuting patterns and…

From footpaths to flight routes, human mobility networks facilitate the spread of communicable diseases. Control and elimination efforts depend on characterizing these networks in terms of connections and flux rates of individuals between…

Populations and Evolution · Quantitative Biology 2016-01-29 Kyle B Gustafson , Basil S. Bayati , Philip A. Eckhoff

We introduce a model designed to account for the influence of a line with fast diffusion-such as a road or another transport network-on the dynamics of a population in an ecological niche. This model consists of a system of coupled…

Analysis of PDEs · Mathematics 2019-12-13 Henri Berestycki , Romain Ducasse , Luca Rossi

A phenomenon that strongly influences the demography of small introduced populations and thereby potentially their genetic diversity is the Allee effect, a reduction in population growth rates at small population sizes. We take a stochastic…

Populations and Evolution · Quantitative Biology 2013-11-25 Meike J. Wittmann , Wilfried Gabriel , Dirk Metzler

We study the drivers and spatial diffusion of U.S. state population growth using a dynamic spatial model for 49 states, 1965-2017. Methodologically, we recover the spatial network structure from the data, rather than imposing it a priori…

Econometrics · Economics 2026-01-16 Sebastian Kripfganz , Vasilis Sarafidis

We consider branching random walks in $d$-dimensional integer lattice with time-space i.i.d. offspring distributions. This model is known to exhibit a phase transition: If $d \ge 3$ and the environment is "not too random", then, the total…

Probability · Mathematics 2007-12-06 Yueyun Hu , Nobuo Yoshida

Recent surveys have allowed to derive the white dwarf mass distribution with reasonable accuracy. This distribution shows a noticeable degree of structure that it is often attributed to the evolution of close binaries in general, and to…

Solar and Stellar Astrophysics · Physics 2012-11-12 J. Isern , S. Catalan , E. Garcia-Berro , M. Hernanz

The social media website last.fm provides a detailed snapshot of what its users in hundreds of cities listen to each week. After suitably normalizing this data, we use it to test three hypotheses related to the geographic flow of music. The…

Social and Information Networks · Computer Science 2012-04-13 Conrad Lee , Pádraig Cunningham

Spatial distribution of the human population is distinctly heterogeneous, e.g. showing significant difference in the population density between urban and rural areas. In the historical perspective, i.e. on the timescale of centuries, the…

Adaptation and Self-Organizing Systems · Physics 2022-08-30 Anna Zincenko , Sergei Petrovskii , Vitaly Volpert

The spatial heterogeneity of cities -- the uneven distribution of population and activities -- is fundamental to urban dynamics and related to critical issues such as infrastructure overload, housing affordability, and social inequality.…

Physics and Society · Physics 2025-11-14 Hao Huang , Yuming Lin , Jiazhen Liu

The aviation industry has experienced constant growth in air traffic since the deregulation of the U.S. airline industry in 1978. As a result, flight delays have become a major concern for airlines and passengers, leading to significant…

Machine Learning · Computer Science 2024-09-04 Rajesh Kumar Jha , Shashi Bhushan Jha , Vijay Pandey , Radu F. Babiceanu

Fatal police shootings in the United States continue to be a polarizing social and political issue. Clear disagreement between racial proportions of victims and nationwide racial demographics together with graphic video footage has created…

Applications · Statistics 2019-12-09 Lucas Mentch

Existing theories of migration either focus on micro- or macroscopic behavior of populations; that is, either the average behavior of entire population is modeled directly, or decisions of individuals are modeled directly. In this work, we…

Physics and Society · Physics 2013-05-10 Babak Fotouhi , Michael G. Rabbat

Equal access to voting is a core feature of democratic government. Using data from millions of smartphone users, we quantify a racial disparity in voting wait times across a nationwide sample of polling places during the 2016 U.S.…

General Economics · Economics 2020-11-03 M. Keith Chen , Kareem Haggag , Devin G. Pope , Ryne Rohla

Recent studies of human migration have focused on modern issues of international economics, politics, urbanization, or commuting. Here we make use of very large anonymized genealogies which offer quantitative metrics and models before…

Physics and Society · Physics 2024-10-25 Robin W. Spencer , Samuel M. Otterstrom

The occurrence rate of young giant planets from direct imaging surveys is a fundamental tracer of the efficiency with which planets form and migrate at wide orbital distances. These measurements have progressively converged to a value of…

Earth and Planetary Astrophysics · Physics 2018-12-05 Brendan P. Bowler , Eric L. Nielsen

Recently humanity has just crossed an important landmark in its history with the majority of people now living in large cities. This population concentration is capable of boosting the growth of positive indicators such as innovation, the…

Physics and Society · Physics 2018-11-19 Carlos Caminha

Bird flocking is a striking example of collective animal behaviour. A vivid illustration of this phenomenon is provided by the aerial display of vast flocks of starlings gathering at dusk over the roost and swirling with extraordinary…

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