Dynamics of Interacting Stochastic Systems on Networks

Dynamics of Interacting Stochastic Systems on Networks PDF Author: Vishwaraj Dilesh Doshi
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Dynamics of Interacting Stochastic Systems on Networks

Dynamics of Interacting Stochastic Systems on Networks PDF Author: Vishwaraj Dilesh Doshi
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Interacting Stochastic Systems

Interacting Stochastic Systems PDF Author: Jean-Dominique Deuschel
Publisher: Springer Science & Business Media
ISBN: 3540271104
Category : Mathematics
Languages : en
Pages : 443

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Book Description
Core papers emanating from the research network, DFG-Schwerpunkt: Interacting stochastic systems of high complexity.

Dynamics of Complex Interacting Systems

Dynamics of Complex Interacting Systems PDF Author: E. Goles
Publisher: Springer Science & Business Media
ISBN: 9401713235
Category : Science
Languages : en
Pages : 185

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Book Description
This book contains the courses given at the Fourth School on Statistical Physics and Cooperative Systems held at Santiago, Chile, from 12th to 16th December 1994. This School brings together scientists working on subjects related to recent trends in complex systems. Some of these subjects deal with dynamical systems, ergodic theory, cellular automata, symbolic and arithmetic dynamics, spatial systems, large deviation theory and neural networks. Scientists working in these subjects come from several aeras: pure and applied mathematics, non linear physics, biology, computer science, electrical engineering and artificial intelligence. Each contribution is devoted to one or more of the previous subjects. In most cases they are structured as surveys, presenting at the same time an original point of view about the topic and showing mostly new results. The expository text of Roberto Livi concerns the study of coupled map lattices (CML) as models of spatially extended dynamical systems. CML is one of the most used tools for the investigation of spatially extended systems. The paper emphasizes rigorous results about the dynamical behavior of one dimensional CML; i.e. a uniform real local function defined in the interval [0,1], interacting with its nearest neighbors in a one dimensional lattice.

Interacting Particle Systems

Interacting Particle Systems PDF Author: Davide Borrello
Publisher:
ISBN:
Category :
Languages : en
Pages : 198

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Book Description
The main subject of the thesis is concerned with interacting particle systems, which are classes of spatio-temporal stochastic processes describing the evolution of particles in interaction with each other on a finite or infinite discrete space. In part I we investigate the stochastic order in a particle system with multiple births, deaths and jumps on the d-dimensional lattice. We give applications on biological models of spread of epidemics and metapopulations dynamics systems. In part II we analyse the coalescing random walk in a class of finite random graphs modeling social networks, the small world graphs.

Stochastic Interacting Systems in Life and Social Sciences

Stochastic Interacting Systems in Life and Social Sciences PDF Author: Nicolas Lanchier
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110791935
Category : Mathematics
Languages : en
Pages : 651

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Book Description
This volume provides an overview of two of the most important examples of interacting particle systems, the contact process, and the voter model, as well as their many variants introduced in the past 50 years. These stochastic processes are organized by domains of application (epidemiology, population dynamics, ecology, genetics, sociology, econophysics, game theory) along with a flavor of the mathematical techniques developed for their analysis.

Stochastic Dynamics for Systems Biology

Stochastic Dynamics for Systems Biology PDF Author: Christian Mazza
Publisher: CRC Press
ISBN: 1466514949
Category : Mathematics
Languages : en
Pages : 274

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Book Description
Stochastic Dynamics for Systems Biology is one of the first books to provide a systematic study of the many stochastic models used in systems biology. The book shows how the mathematical models are used as technical tools for simulating biological processes and how the models lead to conceptual insights on the functioning of the cellular processing

Stochastic Hybrid Systems

Stochastic Hybrid Systems PDF Author: Christos G. Cassandras
Publisher: CRC Press
ISBN: 1420008544
Category : Technology & Engineering
Languages : en
Pages : 300

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Book Description
Because they incorporate both time- and event-driven dynamics, stochastic hybrid systems (SHS) have become ubiquitous in a variety of fields, from mathematical finance to biological processes to communication networks to engineering. Comprehensively integrating numerous cutting-edge studies, Stochastic Hybrid Systems presents a captivating treatment of some of the most ambitious types of dynamic systems. Cohesively edited by leading experts in the field, the book introduces the theoretical basics, computational methods, and applications of SHS. It first discusses the underlying principles behind SHS and the main design limitations of SHS. Building on these fundamentals, the authoritative contributors present methods for computer calculations that apply SHS analysis and synthesis techniques in practice. The book concludes with examples of systems encountered in a wide range of application areas, including molecular biology, communication networks, and air traffic management. It also explains how to resolve practical problems associated with these systems. Stochastic Hybrid Systems achieves an ideal balance between a theoretical treatment of SHS and practical considerations. The book skillfully explores the interaction of physical processes with computerized equipment in an uncertain environment, enabling a better understanding of sophisticated as well as everyday devices and processes.

Dynamical Systems on Networks

Dynamical Systems on Networks PDF Author: Mason Porter
Publisher: Springer
ISBN: 3319266411
Category : Mathematics
Languages : en
Pages : 91

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Book Description
This volume is a tutorial for the study of dynamical systems on networks. It discusses both methodology and models, including spreading models for social and biological contagions. The authors focus especially on “simple” situations that are analytically tractable, because they are insightful and provide useful springboards for the study of more complicated scenarios. This tutorial, which also includes key pointers to the literature, should be helpful for junior and senior undergraduate students, graduate students, and researchers from mathematics, physics, and engineering who seek to study dynamical systems on networks but who may not have prior experience with graph theory or networks. Mason A. Porter is Professor of Nonlinear and Complex Systems at the Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, UK. He is also a member of the CABDyN Complexity Centre and a Tutorial Fellow of Somerville College. James P. Gleeson is Professor of Industrial and Applied Mathematics, and co-Director of MACSI, at the University of Limerick, Ireland.

Quantitative Sociodynamics

Quantitative Sociodynamics PDF Author: Dirk Helbing
Publisher: Springer Science & Business Media
ISBN: 3642115462
Category : Mathematics
Languages : en
Pages : 351

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Book Description
When I wrote the book Quantitative Sociodynamics, it was an early attempt to make methods from statistical physics and complex systems theory fruitful for the modeling and understanding of social phenomena. Unfortunately, the ?rst edition appeared at a quite prohibitive price. This was one reason to make these chapters available again by a new edition. The other reason is that, in the meantime, many of the methods discussed in this book are more and more used in a variety of different ?elds. Among the ideas worked out in this book are: 1 • a statistical theory of binary social interactions, • a mathematical formulation of social ?eld theory, which is the basis of social 2 force models, • a microscopic foundation of evolutionary game theory, based on what is known today as ‘proportional imitation rule’, a stochastic treatment of interactions in evolutionary game theory, and a model for the self-organization of behavioral 3 conventions in a coordination game. It, therefore, appeared reasonable to make this book available again, but at a more affordable price. To keep its original character, the translation of this book, which 1 D. Helbing, Interrelations between stochastic equations for systems with pair interactions. Ph- icaA 181, 29–52 (1992); D. Helbing, Boltzmann-like and Boltzmann-Fokker-Planck equations as a foundation of behavioral models. PhysicaA 196, 546–573 (1993). 2 D. Helbing, Boltzmann-like and Boltzmann-Fokker-Planck equations as a foundation of beh- ioral models. PhysicaA 196, 546–573 (1993); D.

Quantum Networks

Quantum Networks PDF Author: Günter Mahler
Publisher: Springer Science & Business Media
ISBN: 366203669X
Category : Science
Languages : en
Pages : 416

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Book Description
Quantum Networks is focused on density matrix theory cast into a product operator representation, particularly adapted to describing networks of finite state subsystems. This approach is important for understanding non-classical aspects such as single subsystem and multi-subsystem entanglement. An intuitive picture evolves of how these features are generated and destroyed by interactions with the environment. This second edition has been revised and enlarged. For better clarity the text has been partly reorganized and figures and formulae are presented in a more attractive way.