Written by some of the founders of complexity theory and complexity theories of cities (CTC), this Handbook expertly guides the reader through over forty years of intertwined developments: the emergence of general theories of complex self-organized systems and the consequent emergence of CTC. Examining studies from the end of 1970 through to the current leading approach to urbanism, planning and design, the book provides an up-to-date snapshot of CTC. Insightful chapters are split into five parts covering the early foundations of the topic, the evolution of towns and cities and urban complexity, the links between complexity, languages and cities, modelling traffic and parking in cities, and urban planning and design. The Handbook on Cities and Complexity concludes with the contributors’ personal statements on their observations of COVID-19’s impact upon global cities.   This book will be an invaluable resource for those researching cities and complexity and also for scholars of urban studies, planning, physics, mathematics, AI, and architecture.

Written by some of the founders of complexity theory and complexity theories of cities (CTC), this Handbook expertly guides the reader through over forty years of intertwined developments: the emergence of general theories of complex self-organized systems and the consequent emergence of CTC. Examining studies from the end of 1970 through to the current leading approach to urbanism, planning and design, the book provides an up-to-date snapshot of CTC. Insightful chapters are split into five parts covering the early foundations of the topic, the evolution of towns and cities and urban complexity, the links between complexity, languages and cities, modelling traffic and parking in cities, and urban planning and design. The Handbook on Cities and Complexity concludes with the contributors' personal statements on their observations of COVID-19's impact upon global cities. This book will be an invaluable resource for those researching cities and complexity and also for scholars of urban studies, planning, physics, mathematics, AI, and architecture.

The book offers a novel approach to the study of the complex dynamics of cities. It is based on (1) Synergetics as a science of cooperation and selforganization, (2) information theory including semantic and pragmatic aspects, and optimization principles, (3) a theory of steady state maintenance, and of (4) phase transition, i.e. qualitative changes of structure or behavior. From this novel theoretical vantage point, the book addresses particularly three issues that stand at the core of current discourse on cities: Urban Scaling, Smart Cities and City Planning. An important consequence of "the 21st century as the age of cities", is that the study of cities currently attracts scientists from a variety of disciplines, ranging from physics, mathematics and computer science, through urban studies, architecture, planning and human geography, to economics, psychology, sociology, public administration and more. The book is thus likely to attract scholars, researchers and students of these research domains, of complexity theories of cities, as well as of general complexity theory. In addition, it is directed also to practitioners of urbanism, city planning and urban design.

The book offers a novel approach to the study of the complex dynamics of cities. It is based on (1) Synergetics as a science of cooperation and selforganization, (2) information theory including semantic and pragmatic aspects, and optimization principles, (3) a theory of steady state maintenance, and of (4) phase transition, i.e. qualitative changes of structure or behavior. From this novel theoretical vantage point, the book addresses particularly three issues that stand at the core of current discourse on cities: Urban Scaling, Smart Cities and City Planning. An important consequence of "the 21st century as the age of cities", is that the study of cities currently attracts scientists from a variety of disciplines, ranging from physics, mathematics and computer science, through urban studies, architecture, planning and human geography, to economics, psychology, sociology, public administration and more. The book is thus likely to attract scholars, researchers and students of these research domains, of complexity theories of cities, as well as of general complexity theory. In addition, it is directed also to practitioners of urbanism, city planning and urban design.

This book, which resulted from an intensive discourse between experts from several disciplines - complexity theorists, cognitive scientists, philosophers, urban planners and urban designers, as well as a zoologist and a physiologist - addresses various issues regarding cities. It is a first step in responding to the challenge of generating just such a discourse, based on a dilemma identified in the CTC (Complexity Theories of Cities) domain. The latter has demonstrated that cities exhibit the properties of natural, organic complex systems: they are open, complex and bottom-up, have fractal structures and are often chaotic. CTC have further shown that many of the mathematical formalisms and models developed to study material and organic complex systems also apply to cities. The dilemma in the current state of CTC is that cities differ from natural complex systems in that they are hybrid complex systems composed, on the one hand, of artifacts such as buildings, roads and bridges, and of natural human agents on the other. This raises a plethora of new questions on the difference between the natural and the artificial, the cognitive origin of human action and behavior, and the role of planning and designing cities. The answers to these questions cannot come from a single discipline; they must instead emerge from a discourse between experts from several disciplines engaged in CTC.

This book, which resulted from an intensive discourse between experts from several disciplines - complexity theorists, cognitive scientists, philosophers, urban planners and urban designers, as well as a zoologist and a physiologist - addresses various issues regarding cities. It is a first step in responding to the challenge of generating just such a discourse, based on a dilemma identified in the CTC (Complexity Theories of Cities) domain. The latter has demonstrated that cities exhibit the properties of natural, organic complex systems: they are open, complex and bottom-up, have fractal structures and are often chaotic. CTC have further shown that many of the mathematical formalisms and models developed to study material and organic complex systems also apply to cities. The dilemma in the current state of CTC is that cities differ from natural complex systems in that they are hybrid complex systems composed, on the one hand, of artifacts such as buildings, roads and bridges, and of natural human agents on the other. This raises a plethora of new questions on the difference between the natural and the artificial, the cognitive origin of human action and behavior, and the role of planning and designing cities. The answers to these questions cannot come from a single discipline; they must instead emerge from a discourse between experts from several disciplines engaged in CTC.

Today, our cities are an embodiment of the complex, historical evolution of knowledge, desires and technology. Our planned and designed activities co-evolve with our aspirations, mediated by the existing technologies and social structures. The city represents the accretion and accumulation of successive layers of collective activity, structuring and being structured by other, increasingly distant cities, reaching now right around the globe.

This historical and structural development cannot therefore be understood or captured by any set of fixed quantitative relations. Structural changes imply that the patterns of growth, and their underlying reasons change over time, and therefore that any attempt to control the morphology of cities and their patterns of flow by means of planning and design, must be dynamical, based on the mechanisms that drive the changes occurring at a given moment.

This carefully edited post-proceedings volume gathers a snapshot view by leading researchers in field, of current complexity theories of cities. In it, the achievements, criticisms and potentials yet to be realized are reviewed and the implications to planning and urban design are assessed."

Complexity, Cognition and the City aims at a deeper understanding of urbanism, while invoking, on an equal footing, the contributions both the hard and soft sciences have made, and are still making, when grappling with the many issues and facets of regional planning and dynamics. In this work, the author goes beyond merely seeing the city as a self-organized, emerging pattern of some collective interaction between many stylized urban "agents" - he makes the crucial step of attributing cognition to his agents and thus raises, for the first time, the question on how to deal with a complex system composed of many interacting complex agents in clearly defined settings. Accordingly, the author eventually addresses issues of practical relevance for urban planners and decision makers. The book unfolds its message in a largely nontechnical manner, so as to provide a broad interdisciplinary readership with insights, ideas, and other stimuli to encourage further research - with the twofold aim of further pushing back the boundaries of complexity science and emphasizing the all-important interrelation of hard and soft sciences in recognizing the cognitive sciences as another necessary ingredient for meaningful urban studies.

Today, our cities are an embodiment of the complex, historical evolution of knowledge, desires and technology. Our planned and designed activities co-evolve with our aspirations, mediated by the existing technologies and social structures. The city represents the accretion and accumulation of successive layers of collective activity, structuring and being structured by other, increasingly distant cities, reaching now right around the globe.

This historical and structural development cannot therefore be understood or captured by any set of fixed quantitative relations. Structural changes imply that the patterns of growth, and their underlying reasons change over time, and therefore that any attempt to control the morphology of cities and their patterns of flow by means of planning and design, must be dynamical, based on the mechanisms that drive the changes occurring at a given moment.

This carefully edited post-proceedings volume gathers a snapshot view by leading researchers in field, of current complexity theories of cities. In it, the achievements, criticisms and potentials yet to be realized are reviewed and the implications to planning and urban design are assessed."

In his beautiful booklnvisible eities Italo Calvino writes about the two cities ofValdrada, the one which lies on the shores of a lake, and the other which is reflected in the lake and contains not only the exterior of Valdrada on the shores, but also its interior, and probably its inhabitants. "Valdrada's inhabitants know," writes Calvino, "that each of their actions is, at once, that action and its mirror image . . . and this awareness prevents them from succumbing for a single moment to chance and forgetfulness." Such mirror image relations are characteristic of the Israeli-Palestinian relations, and the awareness of this property is, to my mind, one of the most dominant experiences in being 'an Israeli. As an Israeli I can testify that Palestinianism is a permanent resident in the personal and collective consciousness of Israelis, and I have good grounds to suppose that Zionism plays a similar role in the personal and collective consciousness of Palestinians. The Israeli-Palestinian conflict is thus not only political, but also very personal, and the account I present below is no exception. It is my personal, and in this respect Israeli, perspective of the conflict between Israelis and Palestinians, with no pretension to a value-free and objective science."

and processes which are exclusive to humans in their encoding, storing, decoding and retrieving spatial knowledge for various tasks. The authors present and discuss connectionist models of cognitive maps which are based on local representation, versus models which are based on distributed representation, as well as connectionist models concerning language and spatial relations. As is well known, Gibson's (1979) ecological approach suggests a view on cognition which is diametrically different from the classical main stream view: perception (and thus cognition) is direct, immediate and needs no internal information processing, and is thus essentially an external process of interaction between an organism and its external environment. The chapter by Harry Heft introduces J. J. Gibson's ecological approach and its implication to the construction of cognitive maps in general and to the issue of wayfinding in particular. According to Heft, main stream cognitive sciences are essentially Cartesian in nature and have not as yet internalized the implications of Darwin's theory of evolution. Gibson, in his ecological approach, has tried to do exactly this. The author introduces the basic terminology of the ecological approach and relates its various notions, in particular optic flow, nested hierarchy and affordances, to navigation and the way routes and places in the environment are learned.

This book integrates the theories of complex self-organizing systems with the rich body of discourse and literature developed in what might be called social theory of cities and urbanism . It uses techniques from dynamical complexity and synergetics to successfully tackle open social science questions.

Juval Portugali The notion of complex artificial environments (CAE) refers to theories of c- plexity and self-organization, as well as to artifacts in general, and to artificial - vironments, such as cities, in particular. The link between the two, however, is not trivial. For one thing, the theories of complexity and self-organization originated in the "hard" science and by reference to natural phenomena in physics and bi- ogy. The study of artifacts, per contra, has traditionally been the business of the "soft" disciplines in the humanities and social sciences. The notion of "complex artificial environments" thus implies the supposition that the theories of compl- ity and self-organization, together with the mathematical formalisms and meth- ologies developed for their study, apply beyond the domain of nature. Such a s- st position raises a whole set of questions relating to the nature of 21 century cities and urbanism, to philosophical issues regarding the natural versus the artificial, to the methodological legitimacy of interdisciplinary transfer of theories and me- odologies and to the implications that entail the use of sophisticated, state-of-t- art artifacts such as virtual reality (VR) cities and environments. The three-day workshop on the study of complex artificial environments that took place on the island of San Servolo, Venice, during April 1-3, 2004, was a gathering of scholars engaged in the study of the various aspects of CAE.

Juval Portugali The notion of complex artificial environments (CAE) refers to theories of c- plexity and self-organization, as well as to artifacts in general, and to artificial - vironments, such as cities, in particular. The link between the two, however, is not trivial. For one thing, the theories of complexity and self-organization originated in the "hard" science and by reference to natural phenomena in physics and bi- ogy. The study of artifacts, per contra, has traditionally been the business of the "soft" disciplines in the humanities and social sciences. The notion of "complex artificial environments" thus implies the supposition that the theories of compl- ity and self-organization, together with the mathematical formalisms and meth- ologies developed for their study, apply beyond the domain of nature. Such a s- st position raises a whole set of questions relating to the nature of 21 century cities and urbanism, to philosophical issues regarding the natural versus the artificial, to the methodological legitimacy of interdisciplinary transfer of theories and me- odologies and to the implications that entail the use of sophisticated, state-of-t- art artifacts such as virtual reality (VR) cities and environments. The three-day workshop on the study of complex artificial environments that took place on the island of San Servolo, Venice, during April 1-3, 2004, was a gathering of scholars engaged in the study of the various aspects of CAE.

This book integrates the theories of complex self-organizing systems with the rich body of discourse and literature developed in what might be called social theory of cities and urbanism . It uses techniques from dynamical complexity and synergetics to successfully tackle open social science questions.

This book sheds light on processes associated with the construction of cognitive maps, that is to say, with the construction of internal representations of very large spatial entities such as towns, cities, neighborhoods, landscapes, metropolitan areas, environments and the like. Because of their size, such entities can never be seen in their entirety, and consequently one constructs their internal representation by means of visual, as well as non-visual, modes of sensation and information - text, auditory, haptic and olfactory means for example - or by inference. Intersensory coordination and information transfer thus play a crucial role in the construction of cognitive maps. Because it involves a multiplicity of sensational and informational modes, the issue of cognitive maps does not fall into any single traditional cognitive field, but rather into, and often in between, several of them. Thus, although one is dealing here with processes associated with almost every aspect of our daily life, the subject has received relatively marginal scientific attention. The book is directed to researchers and students of cognitive mapping and environmental cognition. In particular it focuses on the cognitive processes by which one form of information, say haptic, is being transformed into another, say a visual image, and by which multiple forms of information participate in constructing cognitive maps.

The title of the book -- Implicate Relations -- is suggested as a notion which characterizes the nature of social relations in general and the relations between Israelis and Palestinians in particular. According to it, Israelis and Palestinians, as societies and as individuals, are not definable independently of each other. In a kind of implicate relation one is enfolded within the other to the extent that Palestinian national identity can be seen as a Zionist creation. Implicate relations further implies that societies are socio-spatial entities which come into being and acquire their collective self-consciousness and self-identity through a process of spatial dialectics. As illustrated throughout the discussions in the book, spatial dialectics was the process through which European Jews were driven into an identity crisis once their (spatial) Ghetto walls disintegrated and they thus became conscious of their nationalist-political identity. And it is this process through which, several decades later, the Arabs in Israel were forced into an identity crisis and became conscious of their Palestinian national identity once the Zionists had defined the boundaries of their future Jewish state. It is also the process through which Israelis and Palestinians became engaged in implicate relations. This is illustrated in the book by reference to historical events which have led to the emergence of Israelis and Palestinians as socio-spatial entities, and by means of empirical analyses of Palestinian labour in Israel, Jewish settlement in the occupied territories, and cognititive maps of Israelis and Palestinians. These empirical analyses are based on data collected in three large-scale fieldsurveys among Palestinian workers and job hunters in Israel, and among Israeli settlers in the occupied territories.

This monograph demonstrates the interplay between Shannon information and semantic information in cognition. It shows that Shannon's information acts as driving force for the formation of semantic information; and vice versa, namely, that semantic information participates in the formation of Shannonian information. The authors show that in cognition, Shannonian and semantic information are interrelated as two aspects of a cognitive process termed as information adaptation. In the latter the mind/brain adapts to the environment by the deflating and/or inflating of the information conveyed by the environment. In the process of information adaptation, quantitative variations in Shannon's information entail different meanings while different meanings affect the quantity of information. The book illustrates the above conceptually and mathematically by reference to three cognitive processes: pattern recognition, face learning and the recognition of a moving object.

Cities are often seen as symbols of order: the existence of city walls, fortified gates, palaces, temples, roads, pavements, highways, public institutions, city centers and residential areas is interpreted as indicating the existence of a central authority that plans and controls the city. On the other hand, the very same cities are also seen as symbols of chaos, disorder and spontaneous growth. The little winding streets and alleys, the mixture of physical structures, styles and human activities have often given the impression that cities, like forests, and other natural entities are organic structures - strange, natural artefacts. Tokyo is a good example for this dual nature of cities. When you first encounter it, you get the impression of chaos: old buildings with one or two storeys next to 30-, 40- or 50-storey skyscrapers; pedestrians, cars, trains moving in all directions, each with its own trajectory and so on. But then you realise that this seemingly chaotic structure provides a context for perfectly ordered human activities: trains leave and arrive as timetabled, their doors open at the exact points that are marked with yellow lines on the platforms, every morning after midnight fishermen bring their catch to Tokyo's big fish market, auctions are held, and by six o'clock in the morning this huge amount of sea food has already been distributed among thousands of restaurants all over the city. And if you look deeper you learn that the chaotic face of Tokyo is the pre-condition for its ordered and organised life. Complexity theory or self-organisation theory are umbrella terms for a set of theories that study the interplay between chaos and order. Originating in the sciences, these theories have been applied to the study of cities in the last three decades. They show that as in natural systems, in the artificial systems that we call cities, chaos and order do not stand in opposition to each other. Rather, they coexist in an ongoing interplay of circular causality: chaos is the precondition for new urban orders to emerge and then to reproduce themselves, whereas order and organisation set the boundaries within which chaotic structures and behaviours can take place.