Complexity Theory and Cryptology

An Introduction to Cryptocomplexity

Author: Jörg Rothe

Publisher: Springer Science & Business Media

ISBN: 3540285202

Category: Computers

Page: 478

View: 1076

Modern cryptology increasingly employs mathematically rigorous concepts and methods from complexity theory. Conversely, current research topics in complexity theory are often motivated by questions and problems from cryptology. This book takes account of this situation, and therefore its subject is what may be dubbed "cryptocomplexity'', a kind of symbiosis of these two areas. This book is written for undergraduate and graduate students of computer science, mathematics, and engineering, and can be used for courses on complexity theory and cryptology, preferably by stressing their interrelation. Moreover, it may serve as a valuable source for researchers, teachers, and practitioners working in these fields. Starting from scratch, it works its way to the frontiers of current research in these fields and provides a detailed overview of their history and their current research topics and challenges.

Complexity Theory

Current Research

Author: Klaus Ambos-Spies,Steven Homer,Uwe Schoening

Publisher: Cambridge University Press

ISBN: 9780521442206

Category: Mathematics

Page: 321

View: 8020

This volume brings together the recent research of a group of the invited participants in the workshop on Structure and Complexity Theory held in Dagstuhl, Germany in February 1992. The aim of the meeting was to present and discuss new developments in central, active areas of complexity theory and to formulate future goals and research directions. The eleven articles collected in this volume reflect the state of the art in complexity theory and provide a current view of the work of some of its strongest researchers.

Geometry and Complexity Theory

Author: J. M. Landsberg

Publisher: Cambridge University Press

ISBN: 110819141X

Category: Computers

Page: N.A

View: 1101

Two central problems in computer science are P vs NP and the complexity of matrix multiplication. The first is also a leading candidate for the greatest unsolved problem in mathematics. The second is of enormous practical and theoretical importance. Algebraic geometry and representation theory provide fertile ground for advancing work on these problems and others in complexity. This introduction to algebraic complexity theory for graduate students and researchers in computer science and mathematics features concrete examples that demonstrate the application of geometric techniques to real world problems. Written by a noted expert in the field, it offers numerous open questions to motivate future research. Complexity theory has rejuvenated classical geometric questions and brought different areas of mathematics together in new ways. This book will show the beautiful, interesting, and important questions that have arisen as a result.

Chaos and Complexity Theory for Management: Nonlinear Dynamics

Nonlinear Dynamics

Author: Banerjee, Santo

Publisher: IGI Global

ISBN: 1466625104

Category: Business & Economics

Page: 449

View: 8258

Although chaos theory refers to the existence between seemingly random events, it has been gaining the attention of science, technology and managements fields. The shift from traditional procedures to the dynamics of chaos and complexity theory has resulted in a new element of complexity thinking, allowing for a greater capability for analyzing and understanding key business processes. Chaos and Complexity Theory for Management: Nonlinear Dynamics explores chaos and complexity theory and its relationship with the understanding of natural chaos in the business environment. Utilizing these theories aids in comprehending the development of businesses as a complex adaptive system.

Chaos and Complexity Theory in World Politics

Author: Erçetin, ?efika ?ule

Publisher: IGI Global

ISBN: 1466660716

Category: Political Science

Page: 374

View: 3644

As an important research field in mathematics, chaos theory impacts many different disciplines such as physics, engineering, economics, and biology. Most recently, however, chaos theory has also been applied to the social sciences, helping to explain the complex and interdependent nature of international politics. Chaos and Complexity Theory in World Politics aims to bring attention to new developments in global politics within the last few years. Demonstrating various issues in international relations and the application of chaos theory within this field, this publication serves as an essential reference for researchers and professionals, as well as useful educational material for academicians and students.

Complexity Theory and the Social Sciences

The state of the art

Author: David Byrne,Gillian Callaghan

Publisher: Routledge

ISBN: 1134084986

Category: Social Science

Page: 312

View: 2980

For the past two decades, ‘complexity’ has informed a range of work across the social sciences. There are diverse schools of complexity thinking, and authors have used these ideas in a multiplicity of ways, from health inequalities to the organization of large scale firms. Some understand complexity as emergence from the rule-based interactions of simple agents and explore it through agent-based modelling. Others argue against such ‘restricted complexity’ and for the development of case-based narratives deploying a much wider set of approaches and techniques. Major social theorists have been reinterpreted through a complexity lens and the whole methodological programme of the social sciences has been recast in complexity terms. In four parts, this book seeks to establish ‘the state of the art’ of complexity-informed social science as it stands now, examining: the key issues in complexity theory the implications of complexity theory for social theory the methodology and methods of complexity theory complexity within disciplines and fields. It also points ways forward towards a complexity-informed social science for the twenty-first century, investigating the argument for a post-disciplinary, ‘open’ social science. Byrne and Callaghan consider how this might be developed as a programme of teaching and research within social science. This book will be particularly relevant for, and interesting to, students and scholars of social research methods, social theory, business and organization studies, health, education, urban studies and development studies.

Complexity Theory and the Social Sciences

An Introduction

Author: David Byrne

Publisher: Routledge

ISBN: 1134714734

Category: Social Science

Page: 224

View: 2983

Chaos and complexity are the new buzz words in both science and contemporary society. The ideas they represent have enormous implications for the way we understand and engage with the world. Complexity Theory and the Social Sciences introduces students to the central ideas which surround the chaos/complexity theories. It discusses key concepts before using them as a way of investigating the nature of social research. By applying them to such familiar topics as urban studies, education and health, David Byrne allows readers new to the subject to appreciate the contribution which complexity theory can make to social research and to illuminating the crucial social issues of our day.

Complexity Theory and Law

Mapping an Emergent Jurisprudence

Author: Jamie Murray,Thomas Webb,Steven Wheatley

Publisher: Routledge

ISBN: 1351658174

Category: Law

Page: 288

View: 527

This collection of essays explores the different ways the insights from complexity theory can be applied to law. Complexity theory – a variant of systems theory – views law as an emergent, complex, self-organising system comprised of an interactive network of actors and systems that operate with no overall guiding hand, giving rise to complex, collective behaviour in law communications and actions. Addressing such issues as the unpredictability of legal systems, the ability of legal systems to adapt to changes in society, the importance of context, and the nature of law, the essays look to the implications of a complexity theory analysis for the study of public policy and administrative law, international law and human rights, regulatory practices in business and finance, and the practice of law and legal ethics. These are areas where law, which craves certainty, encounters unending, irresolvable complexity. This collection shows the many ways complexity theory thinking can reshape and clarify our understanding of the various problems relating to the theory and practice of law.

Complexity

The Emerging Science at the Edge of Order and Chaos

Author: Mitchell M. Waldrop

Publisher: Simon and Schuster

ISBN: 0671872346

Category: Mathematics

Page: 380

View: 8046

A look at the rebellious thinkers who are challenging old ideas with their insights into the ways countless elements of complex systems interact to produce spontaneous order out of confusion

Complexity Theory and Language Development

In celebration of Diane Larsen-Freeman

Author: Lourdes Ortega,ZhaoHong Han

Publisher: John Benjamins Publishing Company

ISBN: 9027264961

Category: Language Arts & Disciplines

Page: 234

View: 1841

This volume is both a state-of-the-art display of current thinking on second language development as a complex system. It is also a tribute to Diane Larsen-Freeman for her decades of intellectual leadership in the academic disciplines of applied linguistics and second language acquisition. The chapters therein range from theoretical expositions to methodological analyses, pedagogical proposals, and conceptual frameworks for future research. In a balanced and in-depth manner, the authors provide a comprehensive and interdisciplinary understanding of second language development, with a wealth of insights that promise to break the status-quo of current research and take it to exciting new territory. The book will appeal to both seasoned and novice researchers in applied linguistics, second language acquisition, bilingualism, cognitive psychology, and education, as well as to practitioners in second or foreign language teaching of any language.

Complexity Theory

Retrospective II

Author: Lane A. Hemaspaandra,Alan L. Selman

Publisher: Springer Science & Business Media

ISBN: 9780387949734

Category: Computers

Page: 339

View: 3922

This volume provides a survey of the subject in the form of a collection of articles written by experts, that together provides a comprehensive guide to research. The editors'aim has been to provide an accessible description of the current stae of complexity theory, and to demonstrate the breadth of techniques and results that make this subject so exciting. Thus, papers run the gamut from sublogarithmic space to exponential time, and from new combinatorial techniques to interactive proof systems.

Complexity Theory

Exploring the Limits of Efficient Algorithms

Author: Ingo Wegener

Publisher: Springer Science & Business Media

ISBN: 3540210458

Category: Computers

Page: 308

View: 3087

Reflects recent developments in its emphasis on randomized and approximation algorithms and communication models All topics are considered from an algorithmic point of view stressing the implications for algorithm design

Computational Complexity

A Modern Approach

Author: Sanjeev Arora,Boaz Barak

Publisher: Cambridge University Press

ISBN: 0521424267

Category: Computers

Page: 579

View: 8526

New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

Shakespeare and Complexity Theory

Author: Claire Hansen

Publisher: Routledge

ISBN: 1351967428

Category: Literary Criticism

Page: 222

View: 8618

In this new monograph, Claire Hansen demonstrates how Shakespeare can be understood as a complex system, and how complexity theory can provide compelling and original readings of Shakespeare’s plays. The book utilises complexity theory to illuminate early modern theatrical practice, Shakespeare pedagogy, and the phenomenon of the Shakespeare ‘myth’. The monograph re-evaluates Shakespeare, his plays, early modern theatre, and modern classrooms as complex systems, illustrating how the lens of complexity offers an enlightening new perspective on diverse areas of Shakespeare scholarship. The book’s interdisciplinary approach enriches our understanding of Shakespeare and lays the foundation for complexity theory in Shakespeare studies and the humanities more broadly.

Computational Complexity Theory

Author: Steven Rudich, Avi Wigderson

Publisher: American Mathematical Soc.

ISBN: 9780821886922

Category:

Page: N.A

View: 8845

Chaos, Complexity and Leadership 2017

Explorations of Chaos and Complexity Theory

Author: Şefika Şule Erçetin,Nihan Potas

Publisher: Springer

ISBN: 9783319898742

Category: Social Science

Page: 725

View: 4989

The proceedings of the 2017 Symposium on Chaos, Complexity and Leadership illuminate current research results and academic work from the fields of physics, mathematics, education, economics, as well as management and social sciences. The text explores chaotic and complex systems, as well as chaos and complexity theory in view of their applicability to management and leadership. This proceedings explores non-linearity as well as data-modelling and simulation in order to uncover new approaches and perspectives. Effort will not be spared in bringing theory into practice while exploring leadership and management-laden concepts. This book will cover the analysis of different chaotic developments from different fields within the concepts of chaos and complexity theory. Researchers and students in the field will find answers to questions surrounding these intertwined and compelling fields.

Using Complexity Theory for Research and Program Evaluation

Author: Michael Wolf-Branigin

Publisher: Oxford University Press

ISBN: 0199829462

Category: Social Science

Page: 196

View: 2328

Complexity theory provides a promising framework for conducting social work research and evaluation. Readers will gain an understanding of the background, current applications, and agent-based modeling as a new approach for creating simulations. To advance this line of inquiry a complexity research agenda for social work is developed.

Handbook of Research on Chaos and Complexity Theory in the Social Sciences

Author: Erçetin, ?efika ?ule

Publisher: IGI Global

ISBN: 1522501495

Category: Mathematics

Page: 458

View: 7467

The concept of “chaos”, and chaos theory, though it is a field of study specifically in the field of mathematics with applications in physics, engineering, economics, management, and education, has also recently taken root in the social sciences. As a method of analyzing the way in which the digital age has connected society more than ever, chaos and complexity theory serves as a tactic to tie world events and cope with the information overload that is associated with heightened social connectivity. The Handbook of Research on Chaos and Complexity Theory in the Social Sciences explores the theories of chaos and complexity as applied to a variety of disciplines including political science, organizational and management science, economics, and education. Presenting diverse research-based perspectives on mathematical patterns in the world system, this publication is an essential reference source for scholars, researchers, mathematicians, social theorists, and graduate-level students in a variety of disciplines.

Philosophy of Complex Systems

Author: N.A

Publisher: Elsevier

ISBN: 9780080931227

Category: Philosophy

Page: 952

View: 994

The domain of nonlinear dynamical systems and its mathematical underpinnings has been developing exponentially for a century, the last 35 years seeing an outpouring of new ideas and applications and a concomitant confluence with ideas of complex systems and their applications from irreversible thermodynamics. A few examples are in meteorology, ecological dynamics, and social and economic dynamics. These new ideas have profound implications for our understanding and practice in domains involving complexity, predictability and determinism, equilibrium, control, planning, individuality, responsibility and so on. Our intention is to draw together in this volume, we believe for the first time, a comprehensive picture of the manifold philosophically interesting impacts of recent developments in understanding nonlinear systems and the unique aspects of their complexity. The book will focus specifically on the philosophical concepts, principles, judgments and problems distinctly raised by work in the domain of complex nonlinear dynamical systems, especially in recent years. -Comprehensive coverage of all main theories in the philosophy of Complex Systems -Clearly written expositions of fundamental ideas and concepts -Definitive discussions by leading researchers in the field -Summaries of leading-edge research in related fields are also included

Computational Complexity

A Conceptual Perspective

Author: Oded Goldreich

Publisher: Cambridge University Press

ISBN: 1139472747

Category: Computers

Page: N.A

View: 4027

Complexity theory is a central field of the theoretical foundations of computer science. It is concerned with the general study of the intrinsic complexity of computational tasks; that is, it addresses the question of what can be achieved within limited time (and/or with other limited natural computational resources). This book offers a conceptual perspective on complexity theory. It is intended to serve as an introduction for advanced undergraduate and graduate students, either as a textbook or for self-study. The book will also be useful to experts, since it provides expositions of the various sub-areas of complexity theory such as hardness amplification, pseudorandomness and probabilistic proof systems. In each case, the author starts by posing the intuitive questions that are addressed by the sub-area and then discusses the choices made in the actual formulation of these questions, the approaches that lead to the answers, and the ideas that are embedded in these answers.