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Related papers: Entropic measures of individual mobility patterns

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Understanding quantitative relationships between urban elements is crucial for a wide range of applications. The observation at the macroscopic level demonstrates that the aggregated urban quantities (e.g., gross domestic product) scale…

Physics and Society · Physics 2021-01-26 Lei Dong , Zhou Huang , Jiang Zhang , Yu Liu

Human dynamical social networks encode information and are highly adaptive. To characterize the information encoded in the fast dynamics of social interactions, here we introduce the entropy of dynamical social networks. By analysing a…

Physics and Society · Physics 2012-01-17 Kun Zhao , Márton Karsai , Ginestra Bianconi

We introduce a new approach to model and analyze \emph{Mobility}. It is fully based on discrete mathematics and yields a class of mobility models, called the \emph{Markov Trace} Model. This model can be seen as the discrete version of the…

Discrete Mathematics · Computer Science 2010-02-05 Andrea Clementi , Angelo Monti , Riccardo Silvestri

Density dependent Markov population processes with countably many types can often be well approximated over finite time intervals by the solution of the differential equations that describe their average drift, provided that the total…

Probability · Mathematics 2014-06-05 A. D. Barbour , Malwina Luczak

In this paper, we seek to understand the behavior of dynamical systems that are perturbed by a parameter that changes discretely in time. If we impose certain conditions, we can study certain embedded systems within a hybrid system as…

Dynamical Systems · Mathematics 2014-08-04 Xavier Garcia , Jennifer Kunze , Thomas Rudelius , Anthony Sanchez , Sijing Shao , Emily Speranza , Chad Vidden

This paper deals with the early results of a new model of pedestrian flow, conceived within a measure-theoretical framework. The modeling approach consists in a discrete-time Eulerian macroscopic representation of the system via a family of…

Mathematical Physics · Physics 2011-03-29 Benedetto Piccoli , Andrea Tosin

Human mobility is investigated using a continuum approach that allows to calculate the probability to observe a trip to anyarbitrary region, and the fluxes between any two regions. The considered description offers a general and unified…

Physics and Society · Physics 2013-04-02 Filippo Simini , Amos Maritan , Zoltán Néda

In this paper, we present an overview of different types of random walk strategies with local and non-local transitions on undirected connected networks. We present a general approach to analyzing these strategies by defining the dynamics…

Statistical Mechanics · Physics 2020-07-08 A. P. Riascos , José L. Mateos

Understanding human mobility is essential for the development of smart cities and social behavior research. Human mobility models may be used in numerous applications, including pandemic control, urban planning, and traffic management. The…

Social and Information Networks · Computer Science 2022-09-09 Yisheng Alison Zheng , Amani Abusafia , Abdallah Lakhdari , Shing Tai Tony Lui , Athman Bouguettaya

From small steps to great leaps, metaphors of spatial mobility abound to describe discovery processes. Here, we ground these ideas in formal terms by systematically studying scientific knowledge mobility patterns. We use low-dimensional…

Physics and Society · Physics 2023-02-28 Chakresh Kumar Singh , Liubov Tupikina , Fabrice Lécuyer , Michele Starnini , Marc Santolini

Human mobility, contact patterns, and their interplay are key aspects of our social behavior that shape the spread of infectious diseases across different regions. In the light of new evidence and data sets about these two elements,…

Physics and Society · Physics 2021-07-26 Wesley Cota , David Soriano-Paños , Alex Arenas , Silvio C. Ferreira , Jesús Gómez-Gardeñes

Owing to the big data the extension of physical laws on nonmaterial has seen numerous successes, and human mobility is one of the scientific frontier topics. Recent GPS technology has made it possible to trace detailed trajectories of…

Physics and Society · Physics 2022-03-21 Yohei Shida , Jun'ichi Ozaki , Hideki Takayasu , Misako Takayasu

The behavior of pedestrians shows certain regularities, which can be described by quantitative (partly stochastic) models. The models are based on the behavior of individual pedestrians, which depends on the pedestrian intentions and on the…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

Recently developed techniques to acquire high-quality human mobility data allow large-scale simulations of the spread of infectious diseases with high spatial and temporal resolution.Analysis of such data has revealed the oversimplification…

Physics and Society · Physics 2015-12-08 Naoya Fujiwara , Abhijeet R. Sonawane , Koji Iwayama , Kazuyuki Aihara

Location and mobility patterns of individuals are important to environmental planning, societal resilience, public health, and a host of commercial applications. Mining telecommunication traffic and transactions data for such purposes is…

Computers and Society · Computer Science 2014-12-09 Pedro Sanches , Eric-Oluf Svee , Markus Bylund , Benjamin Hirsch , Magnus Boman

Traditionally, extracting patterns from eye movement data relies on statistics of different macro-events such as fixations and saccades. This requires an additional preprocessing step to separate the eye movement subtypes, often with a…

Computer Vision and Pattern Recognition · Computer Science 2024-03-13 Arsenii A. Onuchin , Oleg N. Kachan

Understanding and modeling the dynamics of pedestrian crowds can help with designing and increasing the safety of civil facilities. A key feature of crowds is its intrinsic stochasticity, appearing even under very diluted conditions, due to…

Physics and Society · Physics 2017-03-22 Alessandro Corbetta , Chung-min Lee , Roberto Benzi , Adrian Muntean , Federico Toschi

In this work we investigate the behaviour of a human crowd in a cross-flow. We first analyse the results of a set of controlled experiments in which subjects were divided into two groups, in such a way to explore different density settings,…

Physics and Society · Physics 2022-03-30 Francesco Zanlungo , Claudio Feliciani , Zeynep Yücel , Katsuhiro Nishinari , Takayuki Kanda

Information theoretic measures (entropies, entropy rates, mutual information) are nowadays commonly used in statistical signal processing for real-world data analysis. The present work proposes the use of Auto Mutual Information (Mutual…

Data Analysis, Statistics and Probability · Physics 2019-07-24 C Granero-Belinchón , S. Roux , P. Abry , N. Garnier

We present a new measure, CMetric, to classify driver behaviors using centrality functions. Our formulation combines concepts from computational graph theory and social traffic psychology to quantify and classify the behavior of human…

Robotics · Computer Science 2020-08-07 Rohan Chandra , Uttaran Bhattacharya , Trisha Mittal , Aniket Bera , Dinesh Manocha