Crowds in Equations

Crowds in Equations

Author: Maury Bertrand

Publisher: World Scientific

Published: 1999-04-12

Total Pages: 200

ISBN-13: 1786345536

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The book contains self-contained descriptions of existing models, accompanied by critical analyses of their properties both from a theoretical and practical standpoint. It aims to develop 'modeling skills' within the readers, giving them the ability to develop their own models and improve existing ones. Written in connection with a full, open source Python Library, this project also enables readers to run the simulations discussed within the text. remove


Book Synopsis Crowds in Equations by : Maury Bertrand

Download or read book Crowds in Equations written by Maury Bertrand and published by World Scientific. This book was released on 1999-04-12 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains self-contained descriptions of existing models, accompanied by critical analyses of their properties both from a theoretical and practical standpoint. It aims to develop 'modeling skills' within the readers, giving them the ability to develop their own models and improve existing ones. Written in connection with a full, open source Python Library, this project also enables readers to run the simulations discussed within the text. remove

Crowd Dynamics, Volume 2

Crowd Dynamics, Volume 2

Author: Livio Gibelli

Publisher: Springer Nature

Published: 2020-10-23

Total Pages: 224

ISBN-13: 3030504506

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This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics. Chapter authors approach the topic from the perspectives of mathematics, physics, engineering, and psychology, providing a comprehensive overview of the work carried out in this challenging interdisciplinary research field. After providing a critical analysis of the current state of the field and an overview of the current research perspectives, chapters focus on three main research areas: pedestrian interactions, crowd control, and multiscale modeling. Specific topics covered in this volume include: crowd dynamics through conservation laws recent developments in controlled crowd dynamics mixed traffic modeling insights and applications from crowd psychology Crowd Dynamics, Volume 2 is ideal for mathematicians, engineers, physicists, and other researchers working in the rapidly growing field of modeling and simulation of human crowds.


Book Synopsis Crowd Dynamics, Volume 2 by : Livio Gibelli

Download or read book Crowd Dynamics, Volume 2 written by Livio Gibelli and published by Springer Nature. This book was released on 2020-10-23 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics. Chapter authors approach the topic from the perspectives of mathematics, physics, engineering, and psychology, providing a comprehensive overview of the work carried out in this challenging interdisciplinary research field. After providing a critical analysis of the current state of the field and an overview of the current research perspectives, chapters focus on three main research areas: pedestrian interactions, crowd control, and multiscale modeling. Specific topics covered in this volume include: crowd dynamics through conservation laws recent developments in controlled crowd dynamics mixed traffic modeling insights and applications from crowd psychology Crowd Dynamics, Volume 2 is ideal for mathematicians, engineers, physicists, and other researchers working in the rapidly growing field of modeling and simulation of human crowds.

Collective Dynamics from Bacteria to Crowds

Collective Dynamics from Bacteria to Crowds

Author: Adrian Muntean

Publisher: Springer Science & Business Media

Published: 2014-03-18

Total Pages: 182

ISBN-13: 3709117852

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Multiscale models in social applications combine mean-field and kinetic equations with either microscopic or macroscopic level descriptions. In this book the reader will find not only a wide spectrum of multiscale analysis results (like convergence proofs), but also practically important information such as derivations of mean-field equations, methods to handle hard contacts numerically, to model group behavior, to quantitative estimate microscopic/macroscopic segregation of competing species, to quantitative understand the limits of validity of mass-action kinetics for simple reactions.


Book Synopsis Collective Dynamics from Bacteria to Crowds by : Adrian Muntean

Download or read book Collective Dynamics from Bacteria to Crowds written by Adrian Muntean and published by Springer Science & Business Media. This book was released on 2014-03-18 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiscale models in social applications combine mean-field and kinetic equations with either microscopic or macroscopic level descriptions. In this book the reader will find not only a wide spectrum of multiscale analysis results (like convergence proofs), but also practically important information such as derivations of mean-field equations, methods to handle hard contacts numerically, to model group behavior, to quantitative estimate microscopic/macroscopic segregation of competing species, to quantitative understand the limits of validity of mass-action kinetics for simple reactions.

Fractional Order Crowd Dynamics

Fractional Order Crowd Dynamics

Author: Kecai Cao

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2018-06-11

Total Pages: 138

ISBN-13: 311047283X

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This book illustrates the application of fractional calculus in crowd dynamics via modeling and control groups of pedestrians. Decision-making processes, conservation laws of mass/momentum, and micro-macro models are employed to describe system dynamics while cooperative movements in micro scale, and fractional diffusion in macro scale are studied to control the group of pedestrians. Obtained work is included in the Intelligent Evacuation Systems that is used for modeling and to control crowds of pedestrians. With practical issues considered, this book is of interests to mathematicians, physicists, and engineers.


Book Synopsis Fractional Order Crowd Dynamics by : Kecai Cao

Download or read book Fractional Order Crowd Dynamics written by Kecai Cao and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-06-11 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates the application of fractional calculus in crowd dynamics via modeling and control groups of pedestrians. Decision-making processes, conservation laws of mass/momentum, and micro-macro models are employed to describe system dynamics while cooperative movements in micro scale, and fractional diffusion in macro scale are studied to control the group of pedestrians. Obtained work is included in the Intelligent Evacuation Systems that is used for modeling and to control crowds of pedestrians. With practical issues considered, this book is of interests to mathematicians, physicists, and engineers.

Crowd Dynamics, Volume 1

Crowd Dynamics, Volume 1

Author: Livio Gibelli

Publisher: Springer

Published: 2019-01-22

Total Pages: 292

ISBN-13: 3030051293

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This volume explores the complex problems that arise in the modeling and simulation of crowd dynamics in order to present the state-of-the-art of this emerging field and contribute to future research activities. Experts in various areas apply their unique perspectives to specific aspects of crowd dynamics, covering the topic from multiple angles. These include a demonstration of how virtual reality may solve dilemmas in collecting empirical data; a detailed study on pedestrian movement in smoke-filled environments; a presentation of one-dimensional conservation laws with point constraints on the flux; a collection of new ideas on the modeling of crowd dynamics at the microscopic scale; and others. Applied mathematicians interested in crowd dynamics, pedestrian movement, traffic flow modeling, urban planning, and other topics will find this volume a valuable resource. Additionally, researchers in social psychology, architecture, and engineering may find this information relevant to their work.


Book Synopsis Crowd Dynamics, Volume 1 by : Livio Gibelli

Download or read book Crowd Dynamics, Volume 1 written by Livio Gibelli and published by Springer. This book was released on 2019-01-22 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the complex problems that arise in the modeling and simulation of crowd dynamics in order to present the state-of-the-art of this emerging field and contribute to future research activities. Experts in various areas apply their unique perspectives to specific aspects of crowd dynamics, covering the topic from multiple angles. These include a demonstration of how virtual reality may solve dilemmas in collecting empirical data; a detailed study on pedestrian movement in smoke-filled environments; a presentation of one-dimensional conservation laws with point constraints on the flux; a collection of new ideas on the modeling of crowd dynamics at the microscopic scale; and others. Applied mathematicians interested in crowd dynamics, pedestrian movement, traffic flow modeling, urban planning, and other topics will find this volume a valuable resource. Additionally, researchers in social psychology, architecture, and engineering may find this information relevant to their work.

Crowd Dynamics by Kinetic Theory Modeling

Crowd Dynamics by Kinetic Theory Modeling

Author: Bouchra Aylaj

Publisher: Morgan & Claypool Publishers

Published: 2020-10-22

Total Pages: 100

ISBN-13: 1681739941

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The contents of this brief Lecture Note are devoted to modeling, simulations, and applications with the aim of proposing a unified multiscale approach accounting for the physics and the psychology of people in crowds. The modeling approach is based on the mathematical theory of active particles, with the goal of contributing to safety problems of interest for the well-being of our society, for instance, by supporting crisis management in critical situations such as sudden evacuation dynamics induced through complex venues by incidents.


Book Synopsis Crowd Dynamics by Kinetic Theory Modeling by : Bouchra Aylaj

Download or read book Crowd Dynamics by Kinetic Theory Modeling written by Bouchra Aylaj and published by Morgan & Claypool Publishers. This book was released on 2020-10-22 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contents of this brief Lecture Note are devoted to modeling, simulations, and applications with the aim of proposing a unified multiscale approach accounting for the physics and the psychology of people in crowds. The modeling approach is based on the mathematical theory of active particles, with the goal of contributing to safety problems of interest for the well-being of our society, for instance, by supporting crisis management in critical situations such as sudden evacuation dynamics induced through complex venues by incidents.

An Equation for Every Occasion

An Equation for Every Occasion

Author: John M. Henshaw

Publisher: Johns Hopkins University Press

Published: 2016-06-15

Total Pages: 200

ISBN-13: 1421419831

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Smartly conceived and fast paced, his book offers something for anyone curious about math and its impacts.


Book Synopsis An Equation for Every Occasion by : John M. Henshaw

Download or read book An Equation for Every Occasion written by John M. Henshaw and published by Johns Hopkins University Press. This book was released on 2016-06-15 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Smartly conceived and fast paced, his book offers something for anyone curious about math and its impacts.

Crowd Dynamics by Kinetic Theory Modeling

Crowd Dynamics by Kinetic Theory Modeling

Author: Bouchra Aylaj

Publisher: Springer Nature

Published: 2022-06-01

Total Pages: 86

ISBN-13: 3031024281

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The contents of this brief Lecture Note are devoted to modeling, simulations, and applications with the aim of proposing a unified multiscale approach accounting for the physics and the psychology of people in crowds. The modeling approach is based on the mathematical theory of active particles, with the goal of contributing to safety problems of interest for the well-being of our society, for instance, by supporting crisis management in critical situations such as sudden evacuation dynamics induced through complex venues by incidents.


Book Synopsis Crowd Dynamics by Kinetic Theory Modeling by : Bouchra Aylaj

Download or read book Crowd Dynamics by Kinetic Theory Modeling written by Bouchra Aylaj and published by Springer Nature. This book was released on 2022-06-01 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contents of this brief Lecture Note are devoted to modeling, simulations, and applications with the aim of proposing a unified multiscale approach accounting for the physics and the psychology of people in crowds. The modeling approach is based on the mathematical theory of active particles, with the goal of contributing to safety problems of interest for the well-being of our society, for instance, by supporting crisis management in critical situations such as sudden evacuation dynamics induced through complex venues by incidents.

Crowd Dynamics, Volume 4

Crowd Dynamics, Volume 4

Author: Nicola Bellomo

Publisher: Springer Nature

Published: 2023-12-13

Total Pages: 250

ISBN-13: 3031463595

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This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics. Chapter authors approach the topic from the perspectives of mathematics, physics, engineering, and psychology, providing a comprehensive overview of the work carried out in this challenging interdisciplinary research field. The volume begins with an overview of analytical problems related to crowd modeling. Attention is then given to the importance of considering the social and psychological factors that influence crowd behavior – such as emotions, communication, and decision-making processes – in order to create reliable models. Finally, specific features of crowd behavior are explored, including single-file traffic, passenger movement, modeling multiple groups in crowds, and the interplay between crowd dynamics and the spread of disease. Crowd Dynamics, Volume 4 is ideal for mathematicians, engineers, physicists, and other researchers working in the rapidly growing field of modeling and simulation of human crowds.


Book Synopsis Crowd Dynamics, Volume 4 by : Nicola Bellomo

Download or read book Crowd Dynamics, Volume 4 written by Nicola Bellomo and published by Springer Nature. This book was released on 2023-12-13 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics. Chapter authors approach the topic from the perspectives of mathematics, physics, engineering, and psychology, providing a comprehensive overview of the work carried out in this challenging interdisciplinary research field. The volume begins with an overview of analytical problems related to crowd modeling. Attention is then given to the importance of considering the social and psychological factors that influence crowd behavior – such as emotions, communication, and decision-making processes – in order to create reliable models. Finally, specific features of crowd behavior are explored, including single-file traffic, passenger movement, modeling multiple groups in crowds, and the interplay between crowd dynamics and the spread of disease. Crowd Dynamics, Volume 4 is ideal for mathematicians, engineers, physicists, and other researchers working in the rapidly growing field of modeling and simulation of human crowds.

Emotion, Personality and Cultural Aspects in Crowds

Emotion, Personality and Cultural Aspects in Crowds

Author: Rodolfo Migon Favaretto

Publisher: Springer Nature

Published: 2019-10-25

Total Pages: 178

ISBN-13: 3030220788

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This practically-focused book presents a computational model for detection and analysis of pedestrian features in crowds from video sequences. The study of human behavior is a subject of great scientific interest and probably an inexhaustible source of research. The analysis of pedestrians and groups in crowds is relevant in several areas of application, such as security, entertainment, environmental and public spaces planning and social sciences. Cultural and personality aspects are attributes that can influence personal behavior and affect the group in which individuals belong. In this sense, we consider different ways of characterizing individuals and groups in crowds with respect to their relationship with the geometrical space and time. We discuss and describe an approach to extract and analyse, from the Computer Science point of view, emotions, personalities and cultural aspects from crowds and groups of pedestrians, using Computer Vision techniques. Extracting characteristics from real pedestrians and crowds, benefits other areas, such as: architecture and design (planning spaces to maximize pedestrian and group-environment fit); security and surveillance (design of evacuation plans considering characteristics of the crowds and detection of abnormal events); entertainment (more realistic crowds in movies and games reproducing characteristics from real pedestrians and crowds); social sciences (understanding of human behavior), among others. A big challenge in this area of research is the comparison with real life data. In this book, we successfully compared the results of the proposed approach with Psychology literature, where several studies aimed to analysis human behavior.


Book Synopsis Emotion, Personality and Cultural Aspects in Crowds by : Rodolfo Migon Favaretto

Download or read book Emotion, Personality and Cultural Aspects in Crowds written by Rodolfo Migon Favaretto and published by Springer Nature. This book was released on 2019-10-25 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practically-focused book presents a computational model for detection and analysis of pedestrian features in crowds from video sequences. The study of human behavior is a subject of great scientific interest and probably an inexhaustible source of research. The analysis of pedestrians and groups in crowds is relevant in several areas of application, such as security, entertainment, environmental and public spaces planning and social sciences. Cultural and personality aspects are attributes that can influence personal behavior and affect the group in which individuals belong. In this sense, we consider different ways of characterizing individuals and groups in crowds with respect to their relationship with the geometrical space and time. We discuss and describe an approach to extract and analyse, from the Computer Science point of view, emotions, personalities and cultural aspects from crowds and groups of pedestrians, using Computer Vision techniques. Extracting characteristics from real pedestrians and crowds, benefits other areas, such as: architecture and design (planning spaces to maximize pedestrian and group-environment fit); security and surveillance (design of evacuation plans considering characteristics of the crowds and detection of abnormal events); entertainment (more realistic crowds in movies and games reproducing characteristics from real pedestrians and crowds); social sciences (understanding of human behavior), among others. A big challenge in this area of research is the comparison with real life data. In this book, we successfully compared the results of the proposed approach with Psychology literature, where several studies aimed to analysis human behavior.