Random Walks and Diffusions on Graphs and Databases

Author: Philipp Blanchard
Publisher: Springer Science & Business Media
ISBN: 9783642195921
Format: PDF, ePub, Docs
Download Now
Most networks and databases that humans have to deal with contain large, albeit finite number of units. Their structure, for maintaining functional consistency of the components, is essentially not random and calls for a precise quantitative description of relations between nodes (or data units) and all network components. This book is an introduction, for both graduate students and newcomers to the field, to the theory of graphs and random walks on such graphs. The methods based on random walks and diffusions for exploring the structure of finite connected graphs and databases are reviewed (Markov chain analysis). This provides the necessary basis for consistently discussing a number of applications such diverse as electric resistance networks, estimation of land prices, urban planning, linguistic databases, music, and gene expression regulatory networks.

Semigroup Methods for Evolution Equations on Networks

Author: Delio Mugnolo
Publisher: Springer
ISBN: 3319046217
Format: PDF, Docs
Download Now
This concise text is based on a series of lectures held only a few years ago and originally intended as an introduction to known results on linear hyperbolic and parabolic equations. Yet the topic of differential equations on graphs, ramified spaces, and more general network-like objects has recently gained significant momentum and, well beyond the confines of mathematics, there is a lively interdisciplinary discourse on all aspects of so-called complex networks. Such network-like structures can be found in virtually all branches of science, engineering and the humanities, and future research thus calls for solid theoretical foundations. This book is specifically devoted to the study of evolution equations – i.e., of time-dependent differential equations such as the heat equation, the wave equation, or the Schrödinger equation (quantum graphs) – bearing in mind that the majority of the literature in the last ten years on the subject of differential equations of graphs has been devoted to elliptic equations and related spectral problems. Moreover, for tackling the most general settings - e.g. encoded in the transmission conditions in the network nodes - one classical and elegant tool is that of operator semigroups. This book is simultaneously a very concise introduction to this theory and a handbook on its applications to differential equations on networks. With a more interdisciplinary readership in mind, full proofs of mathematical statements have been frequently omitted in favor of keeping the text as concise, fluid and self-contained as possible. In addition, a brief chapter devoted to the field of neurodynamics of the brain cortex provides a concrete link to ongoing applied research.

Survival under Uncertainty

Author: Dimitri Volchenkov
Publisher: Springer
ISBN: 3319394215
Format: PDF, ePub
Download Now
This book introduces and studies a number of stochastic models of subsistence, communication, social evolution and political transition that will allow the reader to grasp the role of uncertainty as a fundamental property of our irreversible world. At the same time, it aims to bring about a more interdisciplinary and quantitative approach across very diverse fields of research in the humanities and social sciences. Through the examples treated in this work – including anthropology, demography, migration, geopolitics, management, and bioecology, among other things – evidence is gathered to show that volatile environments may change the rules of the evolutionary selection and dynamics of any social system, creating a situation of adaptive uncertainty, in particular, whenever the rate of change of the environment exceeds the rate of adaptation. Last but not least, it is hoped that this book will contribute to the understanding that inherent randomness can also be a great opportunity – for social systems and individuals alike – to help face the challenge of “survival under uncertainty”.

Grammar Of Complexity From Mathematics To A Sustainable World

Author: Volchenkov Dimitri
Publisher: World Scientific
ISBN: 981323251X
Format: PDF, Mobi
Download Now
The book is an introduction, for both graduate students and newcomers to the field of the modern theory of mesoscopic complex systems, time series, hypergraphs and graphs, scaled random walks, and modern information theory. As these are applied for the exploration and characterization of complex systems. Our self-consistent review provides the necessary basis for consistency. We discuss a number of applications such diverse as urban structures and musical compositions. Contents: Perplexity of ComplexityPreliminaries: Permutations, Partitions, Probabilities and InformationTheory of Extreme EventsStatistical Basis of Inequality and Discounting the Future and InequalityElements of Graph Theory. Adjacency, Walks, and EntropiesExploring Graph Structures by Random WalksWe Shape Our Buildings: Thereafter They Shape UsComplexity of Musical Harmony Readership: Graduate student in information theory, complex systems and mathematical modeling. Keywords: Complex Systems and Processes;Extreme Events;Discounting the Future and Inequality;Urban Environments;Complexity of Musical HarmonyReview: Key Features: The book provides the unique treatment of the modern theory of mesoscopic complex systems, time series, hypergraphs and graphs, scaled random walks, and modern information theory as applied for exploration and characterization of complex systemsThe book shows how the concepts of complexity theory is applicable to the problem fo survival, urban studies, income inequality, musical harmonyThe book might be used as recommended reading for a course

Smart City Networks

Author: Stamatina Th. Rassia
Publisher: Springer
ISBN: 3319613138
Format: PDF, ePub
Download Now
This book both analyzes and synthesizes new cutting-edge theories and methods for future design implementations in smart cities through interdisciplinary synergizing of architecture, technology, and the Internet of Things (IoT). Implementation of IoT enables the collection and data exchange of objects embedded with electronics, software, sensors, and network connectivity. Recently IoT practices have moved into uniquely identifiable objects that are able to transfer data directly into networks. This book features new technologically advanced ideas, highlighting properties of smart future city networks. Chapter contributors include theorists, computer scientists, mathematicians, and interdisciplinary planners, who currently work on identifying theories, essential elements, and practices where the IoT can impact the formation of smart cities and sustainability via optimization, network analyses, data mining, mathematical modeling and engineering. Moreover, this book includes research-based theories and real world practices aimed toward graduate researchers, experts, practitioners and the general public interested in architecture, engineering, mathematical modeling, industrial design, computer science technologies, and related fields.

Die Revolution der Bilder

Author: Vilém Flusser
Publisher:
ISBN: 9783927901674
Format: PDF, ePub
Download Now
Wohin führen uns die Neuen Medien? Der 1991 verstorbene Kommunikations- und Medienphilosoph Vilém Flusser konnte den gegenwärtigen Boom von Multimedia und Computernetzwerken nicht mehr miterleben. Seine so provokanten wie visionären Thesen und Betrachtungen zur Medienentwicklung sind dennoch Schriften von "ständig wachsender Aktualität", betreffen sie doch die Fundamente und Perspektiven der "Kommunikationsrevolution", die sich bei genauerem Hinsehen als eine "Revolution der Bilder" erweist. Diese erfasst alle Lebensumstände; ihre Drehscheiben aber sind Medien und Design, auf die der Autor den Brennspiegel seiner sprachlichen Einbildungskraft richtet.