Author: Stefano ZambelliPublisher:
ISBN:
Category :
Languages : en
Pages : 243
Book Description
Special Issue: Nonlinearity, Complexity and Randomness
Author: Stefano ZambelliNonlinearity, Complexity and Randomness in Economics
Author: Stefano ZambelliPublisher: John Wiley & Sons
ISBN: 1118300432
Category : Business & Economics
Languages : en
Pages : 352
Book Description
Nonlinearity, Complexity and Randomness in Economics presents a variety of papers by leading economists, scientists, and philosophers who focus on different aspects of nonlinearity, complexity and randomness, and their implications for economics. A theme of the book is that economics should be based on algorithmic, computable mathematical foundations. Features an interdisciplinary collection of papers by economists, scientists, and philosophers Presents new approaches to macroeconomic modelling, agent-based modelling, financial markets, and emergent complexity Reveals how economics today must be based on algorithmic, computable mathematical foundations
Introduction to The"JOES"Special Issue On"Nonlinearity, Randomness and Complexity
Author: Stefano ZambelliPublisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
This is the introduction of the 2011 Special Issue.
Special Issue on Computability, Complexity and Randomness
Author: Special Issue on Randomness and Complexity
Author: Society for Industrial and Applied MathematicsPublisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Nonlinearity, Complexity and Randomness
Author: Stefano ZambelliSpecial Issue on Computability, Complexity and Randomness
Author: Chaos, Nonlinearity, Complexity
Author: Ashok SenguptaPublisher: Springer
ISBN: 3540317570
Category : Computers
Languages : en
Pages : 372
Book Description
This book explores non-extensive statistical mechanics in non-equilibrium thermodynamics, and presents an overview of the strong nonlinearity of chaos and complexity in natural systems, drawing on relevant mathematics from topology, measure-theory, inverse and ill-posed problems, set-valued analysis, and nonlinear functional analysis. It offers a self-contained theory of complexity and complex systems as the steady state of non-equilibrium systems, denoting a homeostatic dynamic equilibrium between stabilizing order and destabilizing disorder.
Special Issue: Nonlinear Dynamics and Complexity
Author: Juan L. G. GuiraoRandomness and Recurrence in Dynamical Systems: A Real Analysis Approach
Author: Rodney NillsenPublisher: American Mathematical Soc.
ISBN: 0883850435
Category : Mathematics
Languages : en
Pages : 357
Book Description
Randomness and Recurrence in Dynamical Systems aims to bridge a gap between undergraduate teaching and the research level in mathematical analysis. It makes ideas on averaging, randomness, and recurrence, which traditionally require measure theory, accessible at the undergraduate and lower graduate level. The author develops new techniques of proof and adapts known proofs to make the material accessible to students with only a background in elementary real analysis. Over 60 figures are used to explain proofs, provide alternative viewpoints and elaborate on the main text. The book explains further developments in terms of measure theory. The results are presented in the context of dynamical systems, and the quantitative results are related to the underlying qualitative phenomena—chaos, randomness, recurrence and order. The final part of the book introduces and motivates measure theory and the notion of a measurable set, and describes the relationship of Birkhoff's Individual Ergodic Theorem to the preceding ideas. Developments in other dynamical systems are indicated, in particular Lévy's result on the frequency of occurence of a given digit in the partial fractions expansion of a number.