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Separatism is examined in a long-run perspective. Accordingly, many political or economic factors which may be crucial in dealing with short-term episodes can be safely disregarded. Extending an approach pioneered by J. Jenkins, the paper…

Physics and Society · Physics 2017-07-24 Bertrand M. Roehner

This paper contributes to the multivariate analysis of marked spatio-temporal point process data by introducing different partial point characteristics and extending the spatial dependence graph model formalism. Our approach yields a…

Methodology · Statistics 2020-03-06 Matthias Eckardt , Jonatan A. González , Jorge Mateu

One of the earliest agent-based economical models, Schelling's spacial proximity model illustrated how global segregation can emerge, often unwanted, from the actions of agents of two races acting in accordance with their individual local…

Computer Science and Game Theory · Computer Science 2014-06-13 George Barmpalias , Richard Elwes , Andy Lewis-Pye

The traditional approach to the quantitative study of segregation is to employ indices that are selected by ``desirable properties''. Here, we detail how information theory underpins entropy-based indices and demonstrate how desirable…

Physics and Society · Physics 2022-12-15 Boris Barron , Yunus A. Kinkhabwala , Chriss Hess , Matthew Hall , Itai Cohen , Tomás A. Arias

Segregation is a multi-scale phenomenon that requires careful measurement. A segregation index implicitly defines how the demographic compositions of locations are compared. We identify two properties -- mean-minimisation and invariance --…

Physics and Society · Physics 2026-03-17 Rohit Sahasrabuddhe , Renaud Lambiotte

Spatiotemporal clustering of earthquake events is a generally-established fact, and is important for designing models and assessment techniques in seismicity. Here, we investigate how this behavior can manifest in the statistical…

Geophysics · Physics 2013-07-08 Rene C. Batac , Holger Kantz

The idea of spatial crosscorrelation was conceived of long ago. However, unlike the related spatial autocorrelation, the theory and method of spatial crosscorrelation analysis have remained undeveloped. This paper presents a set of models…

Physics and Society · Physics 2018-12-19 Yanguang Chen

Statistical thinking partially depends upon an iterative process by which essential features of a problem setting are identified and mapped onto an abstract model or archetype, and then translated back into the context of the original…

Other Statistics · Statistics 2019-02-21 Matthew Beckman , Robert delMas

Socioeconomic segregation is considered one of the main factors behind the emergence of large-scale inequalities in urban areas, and its characterisation is an active area of research in urban studies. There are currently many available…

Physics and Society · Physics 2020-10-21 Sandro Sousa , Vincenzo Nicosia

Modern armed conflicts have a tendency to cluster together and spread geographically. However, the geography of most conflicts remains under-studied. To fill this gap, this article presents a new indicator that measures two key geographical…

Physics and Society · Physics 2022-11-09 Olivier J. Walther , Steven M. Radil , David Russell , Marie Trémolières

In the first part we associate a periodic sequence to a partition and study the connection the distribution of elements of uniform limit of the sequences. Then some facts of statistical independence of these limits are proved

Number Theory · Mathematics 2018-05-01 Milan Pasteka

The collective behavior in a variant of Schelling's segregation model is characterized with methods borrowed from statistical physics, in a context where their relevance was not conspicuous. A measure of segregation based on cluster…

Physics and Society · Physics 2012-02-22 Laetitia Gauvin , Jean Vannimenus , Jean-Pierre Nadal

A coefficient is introduced that quantifies the extent of separation of a random variable $Y$ relative to a number of variables $\mathbf{X} = (X_1, \dots, X_p)$ by skillfully assessing the sensitivity of the relative effects of the…

Methodology · Statistics 2025-03-27 Sebastian Fuchs , Carsten Limbach , Patrick B. Langthaler

In this paper, we use analysis on graphs to study quantitative measures of segregation. We focus on a classical statistic from the geography and urban sociology literature known as Moran's I, which in our language is a score associated to a…

Social and Information Networks · Computer Science 2022-05-19 Moon Duchin , James M. Murphy , Thomas Weighill

Recently, Thas et al. (2012) introduced a new statistical model for the probability index. This index is defined as $P(Y \leq Y^*|X, X^*)$ where Y and Y* are independent random response variables associated with covariates X and X* [...]…

Computation · Statistics 2018-08-20 Han Bossier , Gustavo Amorim , Jan De Neve , Olivier Thas

Both marginal and dependence features must be described when modelling the extremes of a stationary time series. There are standard approaches to marginal modelling, but long- and short-range dependence of extremes may both appear. In…

Methodology · Statistics 2016-03-17 Thomas Lugrin , Anthony C. Davison , Jonathan A. Tawn

A central issue in the theory of extreme values focuses on suitable conditions such that the well-known results for the limiting distributions of the maximum of i.i.d. sequences can be applied to stationary ones. In this context, the…

Statistics Theory · Mathematics 2017-02-07 Helena Ferreira , Marta Ferreira

The recent availability of larger typological databases such as Haspelmath et al. (2005) has brought the linguistics community closer to having a solid, empirical foundation for making actual claims about prehistoric migrations, deep…

Physics and Society · Physics 2007-05-23 Eric W. Holman , Christian Schulze , Dietrich Stauffer , Soren Wichmann

In this paper we explore partial coherence as a tool for evaluating causal influence of one signal sequence on another. In some cases the signal sequence is sampled from a time- or space-series. The key idea is to establish a connection…

Signal Processing · Electrical Eng. & Systems 2021-12-09 Louis L. Scharf , Yuan Wang

This article is a tribute to the memory of Professor Enzo Martinelli, with deep respect and reconesance. Nicolae Teleman. The index formula is a local statement made on global and local data; for this reason we introduce local Alexander -…

K-Theory and Homology · Mathematics 2016-10-17 Nicolae Teleman
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