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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

Nonlocal conservation laws are used to describe various realistic instances of crowd behaviors. First, a basic analytic framework is established through an "ad hoc" well posedness theorem for systems of nonlocal conservation laws in several…

Analysis of PDEs · Mathematics 2015-06-19 Raul Borsche , Rinaldo M. Colombo , Mauro Garavello , Anne Meurer

Animating and simulating crowds using an agent-based approach is a well-established area where every agent in the crowd is individually controlled such that global human-like behaviour emerges. We observe that human navigation and movement…

Artificial Intelligence · Computer Science 2025-08-22 Yibo Liu , Liam Shatzel , Brandon Haworth , Teseo Schneider

Compartmentalization of biochemical processes underlies all biological systems, from the organelle to the tissue scale. Theoretical models to study the interplay between noisy reaction dynamics and compartmentalization are sparse, and…

Quantitative Methods · Quantitative Biology 2022-06-08 Lorenzo Duso , Christoph Zechner

We survey recent results on controlled particle systems. The control aspect introduces new challenges in the discussion of properties and suitable mean field limits. Some of the aspects are highlighted in a detailed discussion of a…

Optimization and Control · Mathematics 2019-11-12 M. K. Banda , M. Herty , T. Trimborn

In the post year 2000 era the technologies that facilitate human communication have rapidly multiplied. While the adoption of these technologies has hugely impacted the behaviour and sociality of people, specifically in urban but also in…

Physics and Society · Physics 2018-04-16 Kunal Bhattacharya , Kimmo Kaski

We survey some recent developments on the mathematical modeling of opinion dynamics. After an introduction on opinion modeling through interacting multi-agent systems described by partial differential equations of kinetic type, we focus our…

Physics and Society · Physics 2016-07-21 Giacomo Albi , Lorenzo Pareschi , Giuseppe Toscani , Mattia Zanella

Quantitative understanding of human behaviors provides elementary comprehension of the complexity of many human-initiated systems. A basic assumption embedded in the previous analyses on human dynamics is that its temporal statistics are…

Physics and Society · Physics 2009-07-31 Tao Zhou , Xiaopu Han , Binghong Wang

Although ubiquitous, interactions of groups of individuals (e.g., modern messaging applications, group meetings, or even a parliament discussion) are not yet thoroughly studied. Frequently, single-groups are modeled as critical-mass…

Physics and Society · Physics 2023-06-19 Guilherme Ferraz de Arruda , Giovanni Petri , Pablo Martín Rodriguez , Yamir Moreno

Human dynamics and sociophysics suggest statistical models that may explain and provide us with better insight into social phenomena. Here we tackle the problem of determining the distribution of the population density of a social space…

Physics and Society · Physics 2020-02-18 Mark Levene , Trevor Fenner

A broad range of dynamical systems involve multi-body interactions, or group interactions, which may not be encoded in traditional graphical structures. In this work, we focus on a canonical example from opinion dynamics, the Majority Rule,…

Physics and Society · Physics 2021-09-01 James Noonan , Renaud Lambiotte

In emergency management for mass gathering, the knowledge about crowd types can highly assist with providing timely response and effective resource allocation. Crowd monitoring can be achieved using computer vision based approaches and…

Computers and Society · Computer Science 2016-06-03 Minh Quan Ngo , Pari Delir Haghighi , Frada Burstein

Social science concerns issues on individuals, relationships, and the whole society. The complexity of research topics in social science makes it the amalgamation of multiple disciplines, such as economics, political science, and sociology,…

Social and Information Networks · Computer Science 2020-08-31 Jun Zhang , Wei Wang , Feng Xia , Yu-Ru Lin , Hanghang Tong

We present a new algorithm to simulate dynamic group behaviors for interactive multi-agent crowd simulation. Our approach is general and makes no assumption about the environment, shape, or size of the groups. We use the least effort…

Multiagent Systems · Computer Science 2016-02-12 Liang He , Jia Pan , Sahil Narang , Wenping Wang , Dinesh Manocha

Robots that navigate through human crowds need to be able to plan safe, efficient, and human predictable trajectories. This is a particularly challenging problem as it requires the robot to predict future human trajectories within a crowd…

Robotics · Computer Science 2018-10-31 Anirudh Vemula , Katharina Muelling , Jean Oh

The complex interplay between human societies and their environments has long been a subject of fascination for social scientists. Utilizing agent-based modeling, this study delves into the profound implications of seemingly inconsequential…

Physics and Society · Physics 2023-12-14 Hossein Sabzian , Nima Shahriari , Mohammad G. Nejad

Capturing both the structural and temporal aspects of interactions is crucial for many real world datasets like contact between individuals. Using the link stream formalism to capture the dynamic of the systems, we tackle the issue of…

Social and Information Networks · Computer Science 2018-04-13 Thibaud Arnoux , Lionel Tabourier , Matthieu Latapy

We present a simple model for describing the dynamics of the interaction between a homogeneous population or society, and the natural resources and reserves that the society needs for its survival. The model is formulated in terms of…

Physics and Society · Physics 2020-04-22 Basil Grammaticos , Ralph Willox , Junkichi Satsuma

Understanding the complex behavior of pedestrians walking in crowds is a challenge for both science and technology. In particular, obtaining reliable models for crowd dynamics, capable of exhibiting qualitatively and quantitatively the…

Physics and Society · Physics 2018-04-12 Alessandro Corbetta , Luca Bruno , Adrian Muntean , Federico Toschi

Multi-agent models are a suitable starting point to model complex social interactions. However, as the complexity of the systems increase, we argue that novel modeling approaches are needed that can deal with inter-dependencies at different…

Artificial Intelligence · Computer Science 2018-09-25 Frank Dignum