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Crowds in Equations

Crowds in Equations PDF Author: Maury Bertrand
Publisher: World Scientific
ISBN: 1786345536
Category : Mathematics
Languages : en
Pages : 200

Book Description
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

Crowds in Equations

Crowds in Equations PDF Author: Maury Bertrand
Publisher: World Scientific
ISBN: 1786345536
Category : Mathematics
Languages : en
Pages : 200

Book Description
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

Collective Dynamics from Bacteria to Crowds

Collective Dynamics from Bacteria to Crowds PDF Author: Adrian Muntean
Publisher: Springer Science & Business Media
ISBN: 3709117852
Category : Science
Languages : en
Pages : 182

Book Description
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 PDF Author: Kecai Cao
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311047283X
Category : Mathematics
Languages : en
Pages : 138

Book Description
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 by Kinetic Theory Modeling

Crowd Dynamics by Kinetic Theory Modeling PDF Author: Bouchra Aylaj
Publisher: Springer Nature
ISBN: 3031024281
Category : Mathematics
Languages : en
Pages : 86

Book Description
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.

Active Particles, Volume 3

Active Particles, Volume 3 PDF Author: Nicola Bellomo
Publisher: Springer Nature
ISBN: 3030933024
Category : Mathematics
Languages : en
Pages : 230

Book Description
This edited volume collects six surveys that present state-of-the-art results on modeling, qualitative analysis, and simulation of active matter, focusing on specific applications in the natural sciences. Following the previously published Active Particles volumes, these chapters are written by leading experts in the field and reflect the diversity of subject matter in theory and applications within an interdisciplinary framework. Topics covered include: Variability and heterogeneity in natural swarms Multiscale aspects of the dynamics of human crowds Mathematical modeling of cell collective motion triggered by self-generated gradients Clustering dynamics on graphs Random Batch Methods for classical and quantum interacting particle systems The consensus-based global optimization algorithm and its recent variants Mathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.

Advances in Computer Graphics

Advances in Computer Graphics PDF Author: Marina Gavrilova
Publisher: Springer
ISBN: 3030225143
Category : Computers
Languages : en
Pages : 587

Book Description
This book constitutes the refereed proceedings of the 36th Computer Graphics International Conference, CGI 2019, held in Calgary, AB, Canada, in June 2019. The 30 revised full papers presented together with 28 short papers were carefully reviewed and selected from 231 submissions. The papers address topics such as: 3D reconstruction and rendering, virtual reality and augmented reality, computer animation, geometric modelling, geometric computing, shape and surface modelling, visual analytics, image processing, pattern recognition, motion planning, gait and activity biometric recognition, machine learning for graphics and applications in security, smart electronics, autonomous navigation systems, robotics, geographical information systems, and medicine and art.

Crowd Dynamics, Volume 2

Crowd Dynamics, Volume 2 PDF Author: Livio Gibelli
Publisher: Springer Nature
ISBN: 3030504506
Category : Mathematics
Languages : en
Pages : 224

Book Description
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.

Fractional Order Crowd Dynamics

Fractional Order Crowd Dynamics PDF Author: Kecai Cao
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110473984
Category : Mathematics
Languages : en
Pages : 138

Book Description
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.

Emotion, Personality and Cultural Aspects in Crowds

Emotion, Personality and Cultural Aspects in Crowds PDF Author: Rodolfo Migon Favaretto
Publisher: Springer Nature
ISBN: 3030220788
Category : Computers
Languages : en
Pages : 178

Book Description
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.

Our Changing Views of Photons

Our Changing Views of Photons PDF Author: Bruce W. Shore
Publisher: Oxford University Press
ISBN: 0192607650
Category : Science
Languages : en
Pages : 399

Book Description
Advances in technology often rely on a world of photons as the basic units of light. Increasingly one reads of photons as essential to enterprises in Photonics and Quantum Technology, with career and investment opportunities. Notions of photons have evolved from the energy-packet crowds of Planck and Einstein, the later field modes of Dirac, the seeming conflict of wave and particle photons, to the ubiquitous laser photons of today. Readers who take interest in contemporary technology will benefit from learning what photons are now considered to be, and how our views of photons have changed — in learning about the various operational definitions that have been used for photons and their association with a variety of quantum-state manipulations that include Quantum Information, astronomical sources and crowds of photons, the boxed fields of Cavity Quantum Electrodynamics and single photons on demand, the photons of Feynman and Glauber, and the photon constituents of the Standard Model of Particle Physics. The narrative points to contemporary photons as causers of change to atoms, as carriers of messages, and as subject to controllable creation and alteration — a considerable diversity of photons, not just one kind. Our Changing Views of Photons: A Tutorial Memoir presents those general topics as a memoir of the author's involvement with physics and the photons of theoretical Quantum Optics, written conversationally for readers with no assumed prior exposure to science. It offers lay readers a glimpse of scientific discovery — of how ideas become practical, as a small scientific community reconsiders its assumptions and offers the theoretical ideas that are then developed, revised, and adopted into technology for daily use. For readers who want a more detailed understanding of the theory, three substantial appendices provide tutorials that, assuming no prior familiarity, proceed from a very elementary start to basics of discrete states and abstract vector spaces; Lie groups; notions of quantum theory and the Schrödinger equation for quantum-state manipulation; Maxwell's equations for electromagnetism, with wave modes that become photons, possibly exhibiting quantum entanglement; and the coupling of atoms and fields to create quasiparticles. The appendices can be seen as a companion to traditional textbooks on Quantum Optics.