On The Derivation Of Reaction Diffusion Equations As Limit Dynamics Of Systems Of Moderately Interacting Stochastic Processes

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Mathematical Methods for Hydrodynamic Limits

Author : Anna DeMasi
Publisher : Springer
ISBN 13 : 3540466363
Total Pages : 204 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Mathematical Methods for Hydrodynamic Limits by : Anna DeMasi

Download or read book Mathematical Methods for Hydrodynamic Limits written by Anna DeMasi and published by Springer. This book was released on 2006-11-14 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Entropy inequalities, correlation functions, couplings between stochastic processes are powerful techniques which have been extensively used to give arigorous foundation to the theory of complex, many component systems and to its many applications in a variety of fields as physics, biology, population dynamics, economics, ... The purpose of the book is to make theseand other mathematical methods accessible to readers with a limited background in probability and physics by examining in detail a few models where the techniques emerge clearly, while extra difficulties arekept to a minimum. Lanford's method and its extension to the hierarchy of equations for the truncated correlation functions, the v-functions, are presented and applied to prove the validity of macroscopic equations forstochastic particle systems which are perturbations of the independent and of the symmetric simple exclusion processes. Entropy inequalities are discussed in the frame of the Guo-Papanicolaou-Varadhan technique and of theKipnis-Olla-Varadhan super exponential estimates, with reference to zero-range models. Discrete velocity Boltzmann equations, reaction diffusion equations and non linear parabolic equations are considered, as limits of particles models. Phase separation phenomena are discussed in the context of Glauber+Kawasaki evolutions and reaction diffusion equations. Although the emphasis is onthe mathematical aspects, the physical motivations are explained through theanalysis of the single models, without attempting, however to survey the entire subject of hydrodynamical limits.

Large Scale Dynamics of Interacting Particles

Author : Herbert Spohn
Publisher : Springer Science & Business Media
ISBN 13 : 3642843719
Total Pages : 346 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Large Scale Dynamics of Interacting Particles by : Herbert Spohn

Download or read book Large Scale Dynamics of Interacting Particles written by Herbert Spohn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with one of the fundamental problems of nonequilibrium statistical mechanics: the explanation of large-scale dynamics (evolution differential equations) from models of a very large number of interacting particles. This book addresses both researchers and students. Much of the material presented has never been published in book-form before.

Scaling Limits of Interacting Particle Systems

Author : Claude Kipnis
Publisher : Springer Science & Business Media
ISBN 13 : 3662037521
Total Pages : 453 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Scaling Limits of Interacting Particle Systems by : Claude Kipnis

Download or read book Scaling Limits of Interacting Particle Systems written by Claude Kipnis and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been long awaited in the "interacting particle systems" community. Begun by Claude Kipnis before his untimely death, it was completed by Claudio Landim, his most brilliant student and collaborator. It presents the techniques used in the proof of the hydrodynamic behavior of interacting particle systems.

Reactive Flows, Diffusion and Transport

Author : Willi Jäger
Publisher : Springer Science & Business Media
ISBN 13 : 354028396X
Total Pages : 659 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Reactive Flows, Diffusion and Transport by : Willi Jäger

Download or read book Reactive Flows, Diffusion and Transport written by Willi Jäger and published by Springer Science & Business Media. This book was released on 2007-05-31 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume summarize the research results obtained in the former SFB 359 "Reactive Flow, Diffusion and Transport" which has been supported by the DFG over the period 1993-2004. The main subjects are physical-chemical processes sharing the difficulty of interacting diffusion, transport and reaction which cannot be considered separately. The modeling and simulation within this book is accompanied by experiments.

Stochastic Dynamics

Author : Hans Crauel
Publisher : Springer Science & Business Media
ISBN 13 : 0387226559
Total Pages : 457 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Stochastic Dynamics by : Hans Crauel

Download or read book Stochastic Dynamics written by Hans Crauel and published by Springer Science & Business Media. This book was released on 2007-12-14 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the mathematical description of stochastic dynamics in discrete as well as in continuous time, this book investigates such dynamical phenomena as perturbations, bifurcations and chaos. It also introduces new ideas for the exploration of infinite dimensional systems, in particular stochastic partial differential equations. Example applications are presented from biology, chemistry and engineering, while describing numerical treatments of stochastic systems.

Stochastic Modelling In Biology: Relevant Mathematical Concepts And Recent Applications

Author : Tautu Petre
Publisher : #N/A
ISBN 13 : 9814611921
Total Pages : 456 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Stochastic Modelling In Biology: Relevant Mathematical Concepts And Recent Applications by : Tautu Petre

Download or read book Stochastic Modelling In Biology: Relevant Mathematical Concepts And Recent Applications written by Tautu Petre and published by #N/A. This book was released on 1990-12-05 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings focus on future prospects as well as on the present status in some important areas of applied probability and mathematical biology. Some papers have educational intentions regarding the mathematical modelling of special biological situations. The workshop was the third one in Heidelberg dealing with stochastic modelling in biology, e.g., cell biology, embryology, oncology, epidemiology and genetics.

Mean Field Simulation for Monte Carlo Integration

Author : Pierre Del Moral
Publisher : CRC Press
ISBN 13 : 146650417X
Total Pages : 624 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Mean Field Simulation for Monte Carlo Integration by : Pierre Del Moral

Download or read book Mean Field Simulation for Monte Carlo Integration written by Pierre Del Moral and published by CRC Press. This book was released on 2013-05-20 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the first comprehensive and modern mathematical treatment of these mean field particle models, including refined convergence analysis on nonlinear Markov chain models. It also covers applications related to parameter estimation in hidden Markov chain models, stochastic optimization, nonlinear filtering and multiple target tracking, stochastic optimization, calibration and uncertainty propagations in numerical codes, rare event simulation, financial mathematics, and free energy and quasi-invariant measures arising in computational physics and population biology.

Individual-Based Models and Their Limits

Author : Ryszard Rudnicki
Publisher : Springer Nature
ISBN 13 : 3031752708
Total Pages : 130 pages
Book Rating : 4.0/5 (317 download)

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Book Synopsis Individual-Based Models and Their Limits by : Ryszard Rudnicki

Download or read book Individual-Based Models and Their Limits written by Ryszard Rudnicki and published by Springer Nature. This book was released on with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Polymer and Cell Dynamics

Author : Wolfgang Alt
Publisher : Birkhäuser
ISBN 13 : 303488043X
Total Pages : 306 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Polymer and Cell Dynamics by : Wolfgang Alt

Download or read book Polymer and Cell Dynamics written by Wolfgang Alt and published by Birkhäuser. This book was released on 2012-12-06 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polymer and cell dynamics play an important role in processes like tumor growth, metastasis, embryogenesis, immune reactions and regeneration. Based on an international workshop on numerical simulations of polymer and cell dynamics in Bad Honnef (Germany) in 2000, this volume provides an overview of the relevant mathematical and numerical methods, their applications and limits. Polymer and Cell Dynamics will be of interest to scientists and advanced undergraduates.

Multiscale Problems in the Life Sciences

Author : Jacek Banasiak
Publisher : Springer Science & Business Media
ISBN 13 : 3540783601
Total Pages : 341 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Multiscale Problems in the Life Sciences by : Jacek Banasiak

Download or read book Multiscale Problems in the Life Sciences written by Jacek Banasiak and published by Springer Science & Business Media. This book was released on 2008-05-30 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume that presents lectures given at a joint CIME and Banach Center Summer School, is to offer a broad presentation of a class of updated methods providing a mathematical framework for the development of a hierarchy of models of complex systems in the natural sciences, with a special attention to biology and medicine. Mastering complexity implies sharing different tools requiring much higher level of communication between different mathematical and scientific schools, for solving classes of problems of the same nature. Today more than ever, one of the most important challenges derives from the need to bridge parts of a system evolving at different time and space scales, especially with respect to computational affordability. As a result the content has a rather general character; the main role is played by stochastic processes, positive semigroups, asymptotic analysis, kinetic theory, continuum theory, and game theory.

Artificial Life and Evolutionary Computation

Author : Roberto Serra
Publisher : World Scientific
ISBN 13 : 9814287458
Total Pages : 341 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Artificial Life and Evolutionary Computation by : Roberto Serra

Download or read book Artificial Life and Evolutionary Computation written by Roberto Serra and published by World Scientific. This book was released on 2010 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Italian community in Artificial Life and Evolutionary computation has grown remarkably in recent years, and this book is the first broad collection of its major interests and achievements (including contributions from foreign countries). The contributions in Artificial Life as well as in Evolutionary Computation allow one to see the deep connections between the two fields. The topics addressed are extremely relevant for present day research in Artificial Life and in Evolutionary Computation, which include important contributions from very well-known researchers. The volume provides a very broad picture of the Italian activities in this field. Sample Chapter(s). Chapter 1: Cognitive Dynamics in an Automata Gas (906 KB). Contents: Diffusion of Shapes (R S Shaw & N H Packard); FDC-Based Particle Swarm Optimization (A Azzini et al.); An Evolutionary Predictive Approach to Design High Dimensional Experiments (D De March et al.); Prefrontal Cortex and Action Sequences: A Review on Neural Computational Models (I Gaudiello et al.); Bio-Inspired ICT for Evolutionary Emotional Intelligence (M Villamira & P Cipresso); Cooperation in Corvids: A Simulative Study with Evolved Robots (O Miglino et al.); Distributed Processes in a Agent-Based Model of Innovation (L Ansaloni et al.); Imaginary or Actual Artificial Worlds Using a New Tool in the ABM Perspective (P Terna); Dynamics of Interconnected Boolean Networks with Scale-Free Topology (C Damiani et al.); Semi-Synthetical Minimal Cells (P Stano & P L Luisi); and other papers. Readership: Graduate students, academics and researchers in the field of complex systems, artificial intelligence and robotics.

Nonlinear Wave Processes in Excitable Media

Author : Arunn V. Holden
Publisher : Springer
ISBN 13 : 1489936831
Total Pages : 511 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Nonlinear Wave Processes in Excitable Media by : Arunn V. Holden

Download or read book Nonlinear Wave Processes in Excitable Media written by Arunn V. Holden and published by Springer. This book was released on 2013-12-21 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a NATO ARW held in Leeds, UK, September 11-15, 1989

Hyperbolic Problems: Theory, Numerics, Applications

Author : Sylvie Benzoni-Gavage
Publisher : Springer Science & Business Media
ISBN 13 : 3540757120
Total Pages : 1117 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Hyperbolic Problems: Theory, Numerics, Applications by : Sylvie Benzoni-Gavage

Download or read book Hyperbolic Problems: Theory, Numerics, Applications written by Sylvie Benzoni-Gavage and published by Springer Science & Business Media. This book was released on 2008-01-12 with total page 1117 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications. This biennial series of conferences has become one of the most important international events in Applied Mathematics. As computers became more and more powerful, the interplay between theory, modeling, and numerical algorithms gained considerable impact, and the scope of HYP conferences expanded accordingly.

Ecole d'Ete de Probabilites de Saint-Flour XXI - 1991

Author : Donald A. Dawson
Publisher : Springer
ISBN 13 : 3540476083
Total Pages : 362 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Ecole d'Ete de Probabilites de Saint-Flour XXI - 1991 by : Donald A. Dawson

Download or read book Ecole d'Ete de Probabilites de Saint-Flour XXI - 1991 written by Donald A. Dawson and published by Springer. This book was released on 2006-11-14 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: CONTENTS: D.D. Dawson: Measure-valued Markov Processes.- B. Maisonneuve: Processus de Markov: Naissance, Retournement, Regeneration.- J. Spencer: Nine lectures on Random Graphs.

Biological Motion

Author : Wolfgang Alt
Publisher : Springer Science & Business Media
ISBN 13 : 3642516645
Total Pages : 616 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Biological Motion by : Wolfgang Alt

Download or read book Biological Motion written by Wolfgang Alt and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: " . . . behavior is not, what an organism does itself, but to what we point. Therefore, whether a type of behavior of an organism is adequate as a certain configuration of movements, will depend on the environment in which we de scribe it. " (Humberto Maturana, Francisco Varela: El arbol del conocimiento, 1984) "A thorough analysis of behavior must result in a scheme, that shows all regularities that are to be found between the sensorical input and the motorical output of an animal. This scheme is an abstract representation of the brain. " (Valentin Braitenberg: Gehirngespinste, 1973) During the 70ies, when Biomathematics (beyond Biomedical Statistics and Com puting) became more popular at universities and research institutes, the problems dealt with came mainly from the general fields of 'Population Biology' and 'Complex Systems Analysis' such as epidemics, ecosystems analysis, morphogenesis, genetics, immunology and neurology (see the first series of Springer Lecture Notes in Biomathematics). Since then, the picture has not considerably changed, and it seems that "a thorough analysis of behavior" of single organisms and, moreover, of their mutual interactions, is far from being understood. On the contrary, mathematical modellers and analysts have been well advised to restrict their investigations to specific aspects of 'biological behavior', one of which is 'biological motion'. Until now, only a few Conference Proceedings or Lecture Notes have paid attention to this important aspect, some of the earlier examples being Vol. 24: 'The measurement of biological shape and shape changes' (1978) or Vol.

Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment

Author : Rubem P. Mondaini
Publisher : Springer Nature
ISBN 13 : 3030463060
Total Pages : 428 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment by : Rubem P. Mondaini

Download or read book Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment written by Rubem P. Mondaini and published by Springer Nature. This book was released on 2020-07-06 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a collection of carefully selected, peer-reviewed papers presented at the BIOMAT 2019 International Symposium, which was held at the University of Szeged, Bolyai Institute and the Hungarian Academy of Sciences, Hungary, October 21st-25th, 2019. The topics covered in this volume include tumor and infection modeling; dynamics of co-infections; epidemic models on networks; aspects of blood circulation modeling; multidimensional modeling approach via time-frequency analysis and Edge Based Compartmental Model; and more. This book builds upon the tradition of the previous BIOMAT volumes to foster interdisciplinary research in mathematical biology for students, researchers, and professionals. Held every year since 2001, the BIOMAT International Symposium gathers together, in a single conference, researchers from Mathematics, Physics, Biology, and affine fields to promote the interdisciplinary exchange of results, ideas and techniques, promoting truly international cooperation for problem discussion. The 2019 edition of BIOMAT International Symposium received contributions by authors from 14 countries: Brazil, Cameroon, Canada, Colombia, Czech Republic, Finland, Hungary, India, Italy, Russia, Senegal, Serbia, United Kingdom and the USA. Selected papers presented at the 2017 and 2018 editions of this Symposium were also published by Springer, in the volumes "Trends in Biomathematics: Modeling, Optimization and Computational Problems" (978-3-319-91091-8) and "Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics" (978-3-030-23432-4).

Math Everywhere

Author : G. Aletti
Publisher : Springer Science & Business Media
ISBN 13 : 3540444467
Total Pages : 346 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Math Everywhere by : G. Aletti

Download or read book Math Everywhere written by G. Aletti and published by Springer Science & Business Media. This book was released on 2007-07-11 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings report on the conference "Math Everywhere", celebrating the 60th birthday of the mathematician Vincenzo Capasso. The conference promoted ideas Capasso has pursued and shared the open atmosphere he is known for. Topic sections include: Deterministic and Stochastic Systems. Mathematical Problems in Biology, Medicine and Ecology. Mathematical Problems in Industry and Economics. The broad spectrum of contributions to this volume demonstrates the truth of its title: Math is Everywhere, indeed.