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In this chapter the complex systems are discussed in the context of economic and business policy and decision making. It will be showed and motivated that social systems are typically chaotic, non-linear and/or non-equilibrium and therefore…

General Finance · Quantitative Finance 2015-03-20 Robert Kitt

In this chapter, I review the main methods and techniques of complex systems science. As a first step, I distinguish among the broad patterns which recur across complex systems, the topics complex systems science commonly studies, the tools…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Cosma Rohilla Shalizi

Complex networks have become essential tools for understanding diverse phenomena in social systems, traffic systems, biomolecular systems, and financial systems. Identifying critical nodes is a central theme in contemporary research,…

Social and Information Networks · Computer Science 2025-09-16 Duxin Chen , Jiawen Chen , Xiaoyu Zhang , Qinghan Jia , Xiaolu Liu , Ye Sun , Linyuan Lv , Wenwu Yu

Region of the country is treated as an open megasystem that consists of many interconnected complex network systems. Classification of such systems on the basis of ordered motion of flows is performed. The main approaches to investigation…

Physics and Society · Physics 2016-04-15 Olexandr Polishchuk , Dmytro Polishchuk , Maria Tyutyunnyk , Mykhailo Yadzhak

Complex network theory aims to model and analyze complex systems that consist of multiple and interdependent components. Among all studies on complex networks, topological structure analysis is of the most fundamental importance, as it…

Social and Information Networks · Computer Science 2010-09-15 Bo Yang , Jiming Liu

Complex systems and their underlying convoluted networks are ubiquitous, all we need is an eye for them. They pose problems of organized complexity which cannot be approached with a reductionist method. Complexity science and its emergent…

Other Computer Science · Computer Science 2014-02-28 Massimo Franceschet

Inference and prediction are fundamental to the study of complex systems, where network data are often incomplete, inaccurate or obtained indirectly. In this paper, we review recent advances in network sampling and comparison, as well as in…

Statistical Mechanics · Physics 2025-12-09 Francisco A. Rodrigues

We review possible measures of complexity which might in particular be applicable to situations where the complexity seems to arise spontaneously. We point out that not all of them correspond to the intuitive (or "naive") notion, and that…

Data Analysis, Statistics and Probability · Physics 2012-08-20 Peter Grassberger

Many real-world complex systems are best modeled by multiplex networks of interacting network layers. The multiplex network study is one of the newest and hottest themes in the statistical physics of complex networks. Pioneering studies…

Physics and Society · Physics 2016-10-31 Kyu-Min Lee , Byungjoon Min , Kwang-Il Goh

In today's world of computers, any kind of information can be made available within few clicks for different endeavors. The information may be tampered by changing the statistical properties and can be further used for criminal activities.…

Computers and Society · Computer Science 2017-09-20 Nikita Rana , Gunjan Sansanwal , Kiran Khatter , Sukhdev Singh

Complex networks are frequently employed to model physical or virtual complex systems. When certain entities exist across multiple systems simultaneously, unveiling their corresponding relationships across the networks becomes crucial. This…

Physics and Society · Physics 2025-04-16 Rui Tang , Ziyun Yong , Shuyu Jiang , Xingshu Chen , Yaofang Liu , Yi-Cheng Zhang , Gui-Quan Sun , Wei Wang

This document is both a synthesis of current notions about complex systems, and a practical approach description. A disambiguation is proposed and exposes possible reasons for controversies related to causation and emergence. Theoretical…

Adaptation and Self-Organizing Systems · Physics 2008-03-05 Nicolas Brodu

Complex networked systems can be modeled and represented as graphs, with nodes representing the agents and the links describing the dynamic coupling between them. The fundamental objective of network identification for dynamic systems is to…

Systems and Control · Electrical Eng. & Systems 2020-06-09 Venkat Ram Subramanian , Andrew Lamperski , Murti V. Salapaka

We consider a variation of the problem of corruption detection on networks posed by Alon, Mossel, and Pemantle '15. In this model, each vertex of a graph can be either truthful or corrupt. Each vertex reports about the types (truthful or…

Social and Information Networks · Computer Science 2019-12-16 Yan Jin , Elchanan Mossel , Govind Ramnarayan

Complex networks are an important paradigm of modern complex systems sciences which allows quantitatively assessing the structural properties of systems composed of different interacting entities. During the last years, intensive efforts…

Modern computer systems are ubiquitous in contemporary life yet many of them remain opaque. This poses significant challenges in domains where desiderata such as fairness or accountability are crucial. We suggest that the best strategy for…

Software Engineering · Computer Science 2023-07-27 Sara Mann , Barnaby Crook , Lena Kästner , Astrid Schomäcker , Timo Speith

This article addresses broad trends in interdisciplinary research in physics where interactions with colleagues in fields such as computer science, ecology, or economics can often be derailed by unintentional clashes of methodologies and…

General Physics · Physics 2011-09-27 Reginald D. Smith

Money laundering is a major global problem, enabling criminal organisations to hide their ill-gotten gains and to finance further operations. Prevention of money laundering is seen as a high priority by many governments, however detection…

Social and Information Networks · Computer Science 2016-08-03 David Savage , Qingmai Wang , Pauline Chou , Xiuzhen Zhang , Xinghuo Yu

This article reviews and presents various solved and open problems in the development, analysis, and control of epidemic models. We are interested in presenting a relatively concise report for new engineers looking to enter the field of…

Optimization and Control · Mathematics 2015-08-26 Cameron Nowzari , Victor M. Preciado , George J. Pappas

Economies are complex man-made systems where organisms and markets interact according to motivations and principles not entirely understood yet. The increasing dissatisfaction with the postulates of traditional economics i.e. perfectly…

Adaptation and Self-Organizing Systems · Physics 2012-06-04 Jaime Gomez-Ramirez , Manuel G. Bedia