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Dynamical Systems
The C.I.M.E. session on Dynamical Systems, held in Cetraro (Italy), June 19-26, 2000, focused on the latest developments in several important areas in dynamical systems, with full development and historical context. The lectures of Chow and Mallet-Paret focus on the area of lattice differential systems, the lectures of Conto and Galleotti treat the classical problem of classification of orbits for two-dimensional autonomous systems with polynomial right sides, the lectures of Nussbaum focus on applications of fixed point theorems to the problem of limiting profiles for the solutions of singular perturbations of delay differential equations, and the lectures of Johnson and Mantellini deal with the existence of periodic and quasi-periodic orbits to non-autonomous systems. The volume will be of interest to researchers and graduate students working in these areas.
Mathematical and Statistical Methods for Actuarial Sciences and Finance
The cooperation and contamination among mathematicians, statisticians and econometricians working in actuarial sciences and finance are improving the research on these topics and producing numerous meaningful scientific results. This volume presents new ideas in the form of four- to six-page papers presented at the International Conference MAF2022 – Mathematical and Statistical Methods for Actuarial Sciences and Finance. Due to the COVID-19 pandemic, the conference, to which this book is related, was organized in a hybrid form by the Department of Economics and Statistics of the University of Salerno, with the partnership of the Department of Economics of Cà Foscari University of Venice, ...
Fractal Geometry and Analysis
This ASI- which was also the 28th session of the Seminaire de mathematiques superieures of the Universite de Montreal - was devoted to Fractal Geometry and Analysis. The present volume is the fruit of the work of this Advanced Study Institute. We were fortunate to have with us Prof. Benoit Mandelbrot - the creator of numerous concepts in Fractal Geometry - who gave a series of lectures on multifractals, iteration of analytic functions, and various kinds of fractal stochastic processes. Different foundational contributions for Fractal Geometry like measure theory, dy namical systems, iteration theory, branching processes are recognized. The geometry of fractal sets and the analytical tools us...
New Trends In Dynamic Systems Theory And Economics
New Trends in Dynamic System Theory and Economics contains selected papers presented at a two-week seminar on New Trends in Dynamic System Theory and Economics held at the International Center for Mechanical Sciences in Udine, Italy, on September 12-23, 1977. Contributors discuss recent trends in the application of dynamic system theory in economic analysis, paying particular attention to information patterns and uncertainty, optimal control theory and its application, and disequilibrium analysis. This book is divided into three sections and consists of 20 chapters. Decision problems of agents with different or imperfect information or under uncertainty are first discussed. This section give...
Interaction and Market Structure
This book is a collection of essays which examine how the properties of aggregate variables are influenced by the actions and interactions of heterogenous individuals in different economic contexts. The common denominator of the essays is a critique of the representative agent hypothesis. If this hypothesis were correct, the behaviour of the aggregate variable would simply be the reproduction of individual optimising behaviour. In the methodology of the hard sciences, one of the achievements of the quantum revolution has been the rebuttal of the notion that aggregate behaviour can be explained on the basis of the behaviour of a single unit: the elementary particle does not even exist as a single entity but as a network, a system of interacting units. In this book, new tracks in economics which parallel the developments in physics mentioned above are explored. The essays, in fact are contributions to the analysis of the economy as a complex evolving system of interacting agents.
Dynamics of socio economic systems- DySES 2023
Dynamics of Socio Economic Systems (DySES) is an organization created initially by a group of Argentinian Scientists, directed by Prof. Araceli Noemi Proto, about 15 years ago, as an umbrella organization to encourage interdisciplinary research on socio-economic systems in general. Since then, the group has been enlarged by researchers coming from all over the world. The scope of DySES conferences has always been rather largely defined. In general the main emphasis has been on interdisciplinary collaborations and on new techniques capable of describing and predicting future behavior of socio-economic systems. Typically, methods have been discussed, that could be used to assist in decision-ma...
Complex Economic Dynamics: An introduction to macroeconomic dynamics
"The two volumes of Complex Economic Dynamics show that, far from being a passing trend in economic research, complex dynamics belongs at the heart of the subject. Although they can be read independently, the volumes follow a logical sequence. Volume 1 contained nontechnical introductions to the basics of economic change and to the mathematical and theoretical tools used to describe them. Volume 2, which is concerned with macroeconomic dynamics, looks at the economy as a whole. Topics include business cycles, economic growth, economic development, and dynamical economic science and policy. The book concludes with the author's reflections on the implications of complex dynamics for economic theory, quantitative research, and government policy."--Pub. desc.
Dynamical Systems: Theory And Applications
The new transportation and communication possibilities have triggered an extensive and rapidly growing international network of scientific collaboration. In this volume, the contributions cover a variety of topics as can be seen from the contents. Despite this manifest disparity between the different topics, there is of course a unifying methodological factor in the theory of dynamical systems, which plays a paramount role in all the studies presented here. So the diversity of subjects is just one expression of the enormous spectrum of areas where the theory of dynamical systems has found applications during the past two decades.
