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Other titles in the Springer Proceedings in Mathematics series:

Springer Proceedings in Mathematics #1: Dynamics, Games and Science I: Dyna 2008, in Honor of Maur CIO Peixoto and David Rand, University of Minho, Braga, Portugal, September 8-12, 2008

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Springer Proceedings in Mathematics #1: Dynamics, Games and Science I: Dyna 2008, in Honor of Maur CIO Peixoto and David Rand, University of Minho, Braga, Portugal, September 8-12, 2008 Cover

 

Synopses & Reviews

Publisher Comments:

Dynamics, Games and Science I and II are a selection of surveys and research articles written by leading researchers in mathematics. The majority of the contributions are on dynamical systems and game theory, focusing either on fundamental and theoretical developments or on applications to modeling in biology, ecomonics, engineering, finances and psychology. The papers are based on talks given at the International Conference DYNA 2008, held in honor of Mauricio Peixoto and David Rand at the University of Braga, Portugal, on September 8-12, 2008. The

Synopsis:

Dynamics, Games and Science I and II are a selection of surveys and research articles written by leading researchers in mathematics and its applications to the sciences. The majority of the contributions are on dynamical systems and game theory, focusing either on some of their most fundamental and theoretical developments or on their applications to modeling in biology, economics, engineering, finances and psychology. The aim of these books is to present cutting-edge research in these areas that can encourage graduate students and researchers in mathematics to develop them further.

About the Author

About the Editors: Maurício Peixoto, in1953, together with Leopoldo Nachbin, helped to found IMPA (Instituto Nacional de Matemática Pura e Aplicada), to which has been associated ever since and is a Emeritus Researcher at the present; Peixoto's Theorem.is a key stone in mathematics and its extensions form a central area of research in dynamical systems. Peixoto introduced the concept of focal decomposition in dynamical systems. Awards and Honors 1969 Moinho Santista Prize for Mathematics and in 1987 received the Third World Academy of Science Award in Mathematics; 1975-1977 President of the Brazilian Mathematical Society; 1979-1980 President of the National Research Council; 1981-1991 President of the Brazilian Academy of Sciences; David Rand is Professor of Mathematics and is the co-director of the Systems Biology Centre, at University of Warwick. David Rand has made lasting contributions to pure and applied dynamical systems, and also to game theory, economics, theoretical physics, fluid dynamics, ecology and epidemiology, immunology and circadian rhythms. Rand published a dynamical game based on Cournot duopoly and showed that under rather natural conditions this game would have chaotic trajectories. His most recent work is on the interface between mathematics and systems biology. Awards and Honors 1986 Whitehead Prize of the London Mathematical Society. 1988 Wolfson Research Award. 1988 Founding editor of Nonlinearity 2004 Fellow, Institute of Mathematics and Its Applications (by invitation) 2005 Britten Lecturer. McMaster University 2006 EPSRC Senior Research Fellowship Alberto A. Pinto is Professor of Mathematics at University of Porto and, previously, was Professor of Mathematics at University of Minho. Edson de Faria, Welington de Melo and Alberto A. Pinto have developed a theory in the global hyperbolicity of renormalization for smooth unimodal mappings that is published in Annals of Mathematics Alberto A. Pinto, David Rand and Dennis Sullivan have developed an extensive theory characterizing the flexibility and rigidity of one and two dimensional hyperbolic dynamical systems and constructed Teichmuller spaces for them, in particular, for their conjugacy classes. This work has appeared in a number of papers and has been collected into a monograph that was published by Springer in 2008. Aragão de Carvalho, Diogo Pinheiro, Alberto A. Pinto and Maurício Peixoto are working in the semiclassical quantization of the pendulum equation using renormalization methods. Awards and Honors 1984- Augusto Martins prize at University of Porto 2007-Espinho town's golden medal

Table of Contents

1 A Brief Survey of Focal Decompositon.- 2 Anosov and Circle Diffeomorphisms.- 3 Evolutionarily Stable Strategies and Replicator Dynamics in Asymmetric Two-Population Games.- 4 Poverty Traps, Rationality and Evolution.- 5 Leadership Model.- 6 Lorenz-Like Chaotic Attractors Revised.- 7 A Dynamical Point of View of Quantum Information: Entropy and Pressure.- 8 Generic Hamiltonian Dynamical Systems: An Overview.- 9 Microeconomic Model Based on MAS Framework: Modeling an Adaptive Producer.- 10 Equilibrium in a Tourism Model with Different Types.- 11 Computability and Dynamical Systems.- 12 Dynamics and Biological Thresholds.- 13 Global Convergence in Difference Equations.- 14 Networks Synchronizability, Local Dynamics and Some Graph Invariants.- 15 Continuous Models for Generic Evolution in Large Population.- 16 Forecasting of Yield Curves using Local State Space Reconstruction.- 17 KAM Theory as a Limit of Renormalization.- 18 An Overview of Optimal Life Insurance Purchase, Consumption and Investment Problems.- 19 Towards a Theory of Periodic Difference Equations and it Applications to Population Dynamics.- 20 Thompson's Group, Teichmüller Spaces, and Dual Riemann Surfaces.- 21 A Modified Model of an Edgeworthian Economy.- 22 Fractional Analysis of Traffic Dynamics.- 23 The Set of Planar Orbits of Second Species in the RTBP.- 24 Statistical Properties of the Maximum for Non-Uniformly Hyperbolic Dynamics.- 25 Adaptive Learning and Central Bank Inattentiveness in Optimal Monetary Policy.- 26 Discrete Time, Finite State Space Mean Field Games.- 27 Sample Exclusion Process: from Randomness to Determination.- 28 Universality in PS120 Fluctuations.- 29 Dynamical Systems with Nontrivially Recurrent Invariant Manifolds.- 30 Some Recent Results on the Stability of Endomorphisms.- 31 Differential Rigidity and Applications in One-Dimensional Dynamics.- 32 Minimum Regret Pricing of Contingent Claims in Incomplete Markets.- 33 A Class of Infinite Dimensional Replicator Dynamics.- 34 Kinetic Theory for Chemical Reactions Without a Barrier.- 35 Dynamical Gene-Environmental Networks

Product Details

ISBN:
9783642114557
Author:
Peixoto, Mauricio Matos (edt)
Publisher:
Springer
Editor:
Peixoto, Maura-Cio Matos
Editor:
Pinto, Alberto Adrego
Editor:
Rand, David A. J.
Author:
Peixoto, Maura-Cio Matos
Author:
Peixoto, Maurcio Matos
Author:
Rand, David A.
Author:
Peixoto, Mauricio Matos
Author:
Pinto, Alberto Adrego
Subject:
Geometry - Differential
Subject:
Mathematical Physics
Subject:
Differential Equations
Subject:
applications to science and engineering
Subject:
DYNAMICAL SYSTEMS
Subject:
Game Theory
Subject:
Mathematical Modeling
Subject:
Dynamical Systems and Ergodic Theory
Subject:
Game Theory, Economics, Social and Behav. Sciences
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
mathematical methods in physics
Subject:
Mathematical Methods in Physics <p>Top-quality contributed volume in two parts, available separately</p><p>Research and survey articles helping your way through dynamics and games, mathematical modeling in biology, economics, engineering, finances, and ps
Subject:
Mathematics-Differential Geometry
Subject:
Mathematical Analysis
Copyright:
Edition Description:
2011
Series:
Springer Proceedings in Mathematics
Series Volume:
1
Publication Date:
20110329
Binding:
HARDCOVER
Language:
English
Pages:
842
Dimensions:
235 x 155 mm

Related Subjects

Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Differential Geometry
Science and Mathematics » Physics » Math

Springer Proceedings in Mathematics #1: Dynamics, Games and Science I: Dyna 2008, in Honor of Maur CIO Peixoto and David Rand, University of Minho, Braga, Portugal, September 8-12, 2008 New Hardcover
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Product details 842 pages Springer - English 9783642114557 Reviews:
"Synopsis" by , Dynamics, Games and Science I and II are a selection of surveys and research articles written by leading researchers in mathematics and its applications to the sciences. The majority of the contributions are on dynamical systems and game theory, focusing either on some of their most fundamental and theoretical developments or on their applications to modeling in biology, economics, engineering, finances and psychology. The aim of these books is to present cutting-edge research in these areas that can encourage graduate students and researchers in mathematics to develop them further.
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