Random Growth Models
Random Growth Models

Author: Michael Damron

Publisher: American Mathematical Soc.

Published: 2018-09-27

Total Pages: 274

ISBN-13: 1470435535

DOWNLOAD EBOOK

The study of random growth models began in probability theory about 50 years ago, and today this area occupies a central place in the subject. The considerable challenges posed by these models have spurred the development of innovative probability theory and opened up connections with several other parts of mathematics, such as partial differential equations, integrable systems, and combinatorics. These models also have applications to fields such as computer science, biology, and physics. This volume is based on lectures delivered at the 2017 AMS Short Course “Random Growth Models”, held January 2–3, 2017 in Atlanta, GA. The articles in this book give an introduction to the most-studied models; namely, first- and last-passage percolation, the Eden model of cell growth, and particle systems, focusing on the main research questions and leading up to the celebrated Kardar-Parisi-Zhang equation. Topics covered include asymptotic properties of infection times, limiting shape results, fluctuation bounds, and geometrical properties of geodesics, which are optimal paths for growth.

Competition and Growth
Competition and Growth

Author: Philippe Aghion

Publisher:

Published: 2005

Total Pages: 128

ISBN-13:

DOWNLOAD EBOOK

By systematically confronting theoretical models with econometric data, a leading macroeconomist and microeconomist present a unified and coherent view how and when productivity gains and economic growth are aided or hindered by competition policy.

Population Dynamics and the Tribolium Model: Genetics and Demography
Population Dynamics and the Tribolium Model: Genetics and Demography

Author: Robert F. Costantino

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 272

ISBN-13: 1461231701

DOWNLOAD EBOOK

The study of populations is becoming increasingly focused on dynamics. We believe there are two reasons for this trend. The ftrst is the impactof nonlinear dynamics with its exciting ideas and colorful language: bifurcations, domains of attraction, chaos, fractals, strange attractors. Complexity, which is so very much a part of biology, now seems to be also a part of mathematics. A second trend is the accessibility of the new concepts. Thebarriers tocommunicationbetween theoristandexperimentalistseemless impenetrable. The active participationofthe experimentalist means that the theory will obtain substance. Our role is the application of the theory of dynamics to the analysis ofbiological populations. We began our work early in 1979 by writing an ordinary differential equation for the rateofchange in adult numbers which was based on an equilibrium model proposed adecadeearlier. Duringthenextfewmonths weftlledournotebookswithstraightforward deductions from the model and its associated biological implications. Slowly, some of the biological observations were explained and papers followed on a variety of topics: genetic and demographic stability, stationary probability distributions for population size,population growth asabirth-deathprocess, natural selectionanddensity-dependent population growth, genetic disequilibrium, and the stationary stochastic dynamics of adult numbers.

Game Theory and Business Applications
Game Theory and Business Applications

Author: Kalyan Chatterjee

Publisher: Springer Science & Business Media

Published: 2013-06-26

Total Pages: 407

ISBN-13: 1461470951

DOWNLOAD EBOOK

Game theory has been applied to a growing list of practical problems, from antitrust analysis to monetary policy; from the design of auction institutions to the structuring of incentives within firms; from patent races to dispute resolution. The purpose of Game Theory and Business Applications is to show how game theory can be used to model and analyze business decisions. The contents of this revised edition contain a wide variety of business functions – from accounting to operations, from marketing to strategy to organizational design. In addition, specific application areas include market competition, law and economics, bargaining and dispute resolution, and competitive bidding. All of these applications involve competitive decision settings, specifically situations where a number of economic agents in pursuit of their own self-interests and in accordance with the institutional “rules of the game” take actions that together affect all of their fortunes. As this volume demonstrates, game theory provides a compelling guide for analyzing business decisions and strategies.

Mathematical Approaches to Problems in Resource Management and Epidemiology
Mathematical Approaches to Problems in Resource Management and Epidemiology

Author: Carlos Castillo-Chavez

Publisher: Springer Science & Business Media

Published: 2013-03-08

Total Pages: 340

ISBN-13: 3642466931

DOWNLOAD EBOOK

Increasingly, mathematical methods are being used to advantage in addressing the problems facing humanity in managing its environment. Problems in resource management and epidemiology especially have demonstrated the utility of quantitative modeling. To explore these approaches, the Center of Applied Mathematics at Cornell University organized a conference in Fall, 1987, with the objective of surveying and assessing the state of the art. This volume records the proceedings of that conference. Underlying virtually all of these studies are models of population growth, from individual cells to large vertebrates. Cell population growth presents the simplest of systems for study, and is of fundamental importance in its own right for a variety of medical and environmental applications. In Part I of this volume, Michael Shuler describes computer models of individual cells and cell populations, and Frank Hoppensteadt discusses the synchronization of bacterial culture growth. Together, these provide a valuable introduction to mathematical cell biology.

Entrepreneurship and Regional Development
Entrepreneurship and Regional Development

Author: Héctor O. Rocha

Publisher: Springer

Published: 2013-11-21

Total Pages: 358

ISBN-13: 113729826X

DOWNLOAD EBOOK

Entrepreneurship and Regional Development aims to make a theoretical and practical contribution meeting the need for studies on the impact of clusters on entrepreneurship and societal outcomes. This book aims to answer the following research question: Do clusters matter to entrepreneurship and entrepreneurship outcomes at the societal level?

Applications of Nonlinear Dynamics To Developmental Process Modeling
Applications of Nonlinear Dynamics To Developmental Process Modeling

Author: Karl M. Newell

Publisher: Psychology Press

Published: 2014-03-05

Total Pages: 330

ISBN-13: 1317779126

DOWNLOAD EBOOK

There has been an increasing interest in the application of dynamical systems to the study of development over the last decade. The explosion of the dynamical systems framework in the physical and biological sciences has opened the door to a new Zeitgeist for studying development. This appeal to dynamical systems by developmentalists is natural given the intuitive links between the established fundamental problems of development and the conceptual and operational scope of nonlinear dynamical systems. This promise of a new approach and framework within which to study development has led to some progress in recent years but also a growing appreciation of the difficulty of both fully examining the new metaphor and realizing its potential. Divided into 4 parts, this book is a result of a recent conference on dynamical systems and development held at Pennsylvania State University. The first 3 parts focus on the content domains of development that have given most theoretical and empirical attention to the potential applications of dynamical systems--physical growth and movement, cognition, and communication. These parts show that a range of nonlinear models have been applied to a host of developmental phenomena. Part 4 highlights two particular methodological issues that hold important implications for the modeling of developmental phenomena with dynamical systems techniques.