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We describe a web of connections between the following topics: the mathematical theory of voting and social choice; the computational complexity of the Maximum Cut problem; the Gaussian Isoperimetric Inequality and Borell's generalization…

Probability · Mathematics 2014-08-05 Ryan O'Donnell

We discuss the seminal article in which Le Bellac and L\'{e}vy-Leblond have identified two Galilean limits of electromagnetism [1], and its modern implications. Recent works have shed a new light on the choice of gauge conditions in…

Classical Physics · Physics 2009-11-11 Marc De Montigny , Germain Rousseaux

The study of opinions $-$ e.g., their formation and change, and their effects on our society $-$ by means of theoretical and numerical models has been one of the main goals of sociophysics until now, but it is one of the defining topics…

Physics and Society · Physics 2015-09-03 Francesca Giardini , Daniele Vilone , Rosaria Conte

From the climate system to the effect of the internet on society, chaotic systems appear to have a significant role in our future. Here a method of statistical learning for a class of chaotic systems is described along with underlying…

Applications · Statistics 2020-02-26 Michael LuValle

A century ago, John Dewey observed that '[s]team and electricity have done more to alter the conditions under which men associate together than all the agencies which affected human relationships before our time'. In the last few decades,…

Computers and Society · Computer Science 2024-10-29 Seth Lazar

We present a thermodynamic theory for a generic population of $M$ individuals distributed into $N$ groups (clusters). We construct the ensemble of all distributions with fixed $M$ and $N$, introduce a selection functional that embodies the…

Populations and Evolution · Quantitative Biology 2014-08-19 Themis Matsoukas

In this work we study the coupled dynamics of social balance and opinion formation. We propose a model where agents form opinions under bounded confidence, but only considering the opinions of their friends. The signs of social ties…

Physics and Society · Physics 2016-10-11 Antonio Parravano , Ascención Andina-Díaz , Miguel A Meléndez-Jiménez

Science is a fundamental human activity and we trust its results because it has several error-correcting mechanisms. Its is subject to experimental tests that are replicated by independent parts. Given the huge amount of information…

Physics and Society · Physics 2011-03-25 Andre C. R. Martins

Recently, Szufa et al. [AAMAS 2020] presented a "map of elections" that visualizes a set of 800 elections generated from various statistical cultures. While similar elections are grouped together on this map, there is no obvious…

Computer Science and Game Theory · Computer Science 2021-05-18 Niclas Boehmer , Robert Bredereck , Piotr Faliszewski , Rolf Niedermeier , Stanisław Szufa

Contemporary societies are often "polarized", in the sense that sub-groups within these societies hold stably opposing beliefs, even when there is a fact of the matter. Extant models of polarization do not capture the idea that some beliefs…

Social and Information Networks · Computer Science 2018-12-20 Cailin O'Connor , James Owen Weatherall

No abstract given. Contents: I. Definition and Introduction II. Schelling Model III. Opinion Dynamics IV. Languages, Hierarchies and Football V. Future Directions

Physics and Society · Physics 2007-05-23 D. Stauffer

This work extends the recent opinion dynamics model from Cheng et al., emphasizing the role of group pressure in consensus formation. We generalize the findings to incorporate social influence algorithms with general time-varying,…

Physics and Society · Physics 2025-03-14 Iryna Zabarianska , Anton V. Proskurnikov

We consider an operatorial model of alliances between three political parties which interact with their electors, with the undecided voters, and with the electors of the other parties. This extends what was done in a previous paper, where…

Physics and Society · Physics 2016-04-01 Fabio Bagarello

A recently proposed graph-theoretic metric, the influence gap, has shown to be a reliable predictor of the effect of social influence in two-party elections, albeit only tested on regular and scale-free graphs. Here, we investigate whether…

Social and Information Networks · Computer Science 2022-02-09 Jacques Bara , Omer Lev , Paolo Turrini

The success of the current wave of artificial intelligence can be partly attributed to deep neural networks, which have proven to be very effective in learning complex patterns from large datasets with minimal human intervention. However,…

Machine Learning · Computer Science 2022-06-01 Haakon Robinson , Suraj Pawar , Adil Rasheed , Omer San

This paper presents a new class of probability distributions generated from the gamma distribution. For the new class proposed, we present several statistical properties, such as the risk function, the density expansions, Moment-generating…

Statistics Theory · Mathematics 2021-08-16 Cícero Carlos Ramos de Brito , Leandro Chaves Rêgo , Wilson Rosa de Oliveira

While opinion dynamics models have been extensively studied as stylized models, there has been growing attention to the possibility of combining these models with empirical data. This attention seems to be driven by the many social issues…

Physics and Society · Physics 2026-02-03 Samuel Moor-Smith , Dino Carpentras

Liquid democracy is the principle of making collective decisions by letting agents transitively delegate their votes. Despite its significant appeal, it has become apparent that a weakness of liquid democracy is that a small subset of…

Computer Science and Game Theory · Computer Science 2019-11-20 Paul Gölz , Anson Kahng , Simon Mackenzie , Ariel D. Procaccia

The voter model is a classical interacting particle system modelling how consensus is formed across a network. We analyse the time to consensus for the voter model when the underlying graph is a subcritical scale-free random graph.…

Probability · Mathematics 2020-06-02 John Fernley , Marcel Ortgiese

Nowadays, in societies threatened by atomization, selfishness, short-term thinking, and alienation from political life, there is a renewed debate about classical questions concerning the quality of democratic decision-making. In this work a…

Statistical Mechanics · Physics 2009-11-07 S. G. Alves , N. M. Oliveira Neto , M. L. Martins