Random Walks And Diffusions On Graphs And Databases

Random Walks And Diffusions On Graphs And Databases Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Random Walks And Diffusions On Graphs And Databases book. This book definitely worth reading, it is an incredibly well-written.

Random Walks and Diffusions on Graphs and Databases

Philipp Blanchard,Dimitri Volchenkov
Random Walks and Diffusions on Graphs and Databases Book PDF

Author : Philipp Blanchard,Dimitri Volchenkov
Publisher : Springer Science & Business Media
Page : 271 pages
File Size : 48,5 Mb
Release : 2011-05-26
Category : Science
ISBN : 9783642195921

Get Book

Random Walks and Diffusions on Graphs and Databases by Philipp Blanchard,Dimitri Volchenkov Pdf

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.

Interconnected Networks

Antonios Garas
Interconnected Networks Book PDF

Author : Antonios Garas
Publisher : Springer
Page : 229 pages
File Size : 54,9 Mb
Release : 2016-02-04
Category : Science
ISBN : 9783319239477

Get Book

Interconnected Networks by Antonios Garas Pdf

This volume provides an introduction to and overview of the emerging field of interconnected networks which include multilayer or multiplex networks, as well as networks of networks. Such networks present structural and dynamical features quite different from those observed in isolated networks. The presence of links between different networks or layers of a network typically alters the way such interconnected networks behave – understanding the role of interconnecting links is therefore a crucial step towards a more accurate description of real-world systems. While examples of such dissimilar properties are becoming more abundant – for example regarding diffusion, robustness and competition – the root of such differences remains to be elucidated. Each chapter in this topical collection is self-contained and can be read on its own, thus making it also suitable as reference for experienced researchers wishing to focus on a particular topic.

Biologically Inspired Cognitive Architectures (BICA) for Young Scientists

Alexei V. Samsonovich,Valentin V. Klimov
Biologically Inspired Cognitive Architectures BICA for Young Scientists Book PDF

Author : Alexei V. Samsonovich,Valentin V. Klimov
Publisher : Springer
Page : 358 pages
File Size : 42,5 Mb
Release : 2017-07-25
Category : Technology & Engineering
ISBN : 9783319639406

Get Book

Biologically Inspired Cognitive Architectures (BICA) for Young Scientists by Alexei V. Samsonovich,Valentin V. Klimov Pdf

This book includes papers from the second year of the prestigious First International Early Research Career Enhancement School (FIERCES) series: a successful, new format that puts a school in direct connection with a conference and a social program, all dedicated to young scientists. Reflecting the friendly, social atmosphere of excitement and opportunity, the papers represent a good mixture of cutting-edge research focused on advances towards the most inspiring challenges of our time and first ambitious attempts at major challenges by as yet unknown, talented young scientists. In this second year of FIERCES, the BICA Challenge (to replicate all the essential aspects of the human mind in the digital environment) meets the Cybersecurity Challenge (to protect all the essential assets of the human mind in the digital environment), which is equally important in our age. As a result, the book fosters lively discussions on today’s hot topics in science and technology, and stimulates the emergence of new cross-disciplinary, cross-generation and cross-cultural collaboration. FIERCES 2017, or the First International Early Research Career Enhancement School on Biologically Inspired Cognitive Architectures and Cybersecurity, was held on August 1–5 at the Baltschug Kempinski in Moscow, Russia.

Nonlinear Dynamics and Complexity

Valentin Afraimovich,Albert C. J. Luo,Xilin Fu
Nonlinear Dynamics and Complexity Book PDF

Author : Valentin Afraimovich,Albert C. J. Luo,Xilin Fu
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 46,6 Mb
Release : 2013-11-22
Category : Technology & Engineering
ISBN : 9783319023533

Get Book

Nonlinear Dynamics and Complexity by Valentin Afraimovich,Albert C. J. Luo,Xilin Fu Pdf

This important collection presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, time-delay, uncertainty, and bio-network dynamics. Nonlinear Dynamics and Complexity equips readers to appreciate this increasingly main-stream approach to understanding complex phenomena in nonlinear systems as they are examined in a broad array of disciplines. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering.

Fractional Dynamics on Networks and Lattices

Thomas Michelitsch,Alejandro Perez Riascos,Bernard Collet,Andrzej Nowakowski,Franck Nicolleau
Fractional Dynamics on Networks and Lattices Book PDF

Author : Thomas Michelitsch,Alejandro Perez Riascos,Bernard Collet,Andrzej Nowakowski,Franck Nicolleau
Publisher : John Wiley & Sons
Page : 340 pages
File Size : 53,6 Mb
Release : 2019-04-30
Category : Technology & Engineering
ISBN : 9781786301581

Get Book

Fractional Dynamics on Networks and Lattices by Thomas Michelitsch,Alejandro Perez Riascos,Bernard Collet,Andrzej Nowakowski,Franck Nicolleau Pdf

This book analyzes stochastic processes on networks and regular structures such as lattices by employing the Markovian random walk approach. Part 1 is devoted to the study of local and non-local random walks. It shows how non-local random walk strategies can be defined by functions of the Laplacian matrix that maintain the stochasticity of the transition probabilities. A major result is that only two types of functions are admissible: type (i) functions generate asymptotically local walks with the emergence of Brownian motion, whereas type (ii) functions generate asymptotically scale-free non-local “fractional” walks with the emergence of Lévy flights. In Part 2, fractional dynamics and Lévy flight behavior are analyzed thoroughly, and a generalization of Pólya's classical recurrence theorem is developed for fractional walks. The authors analyze primary fractional walk characteristics such as the mean occupation time, the mean first passage time, the fractal scaling of the set of distinct nodes visited, etc. The results show the improved search capacities of fractional dynamics on networks.

The Nature of Complex Networks

Sergey N. Dorogovtsev,José F. F. Mendes
The Nature of Complex Networks Book PDF

Author : Sergey N. Dorogovtsev,José F. F. Mendes
Publisher : Oxford University Press
Page : 456 pages
File Size : 42,5 Mb
Release : 2022-06-15
Category : Science
ISBN : 9780192693181

Get Book

The Nature of Complex Networks by Sergey N. Dorogovtsev,José F. F. Mendes Pdf

The Nature of Complex Networks provides a systematic introduction to the statistical mechanics of complex networks and the different theoretical achievements in the field that are now finding strands in common. The book presents a wide range of networks and the processes taking place on them, including recently developed directions, methods, and techniques. It assumes a statistical mechanics view of random networks based on the concept of statistical ensembles but also features the approaches and methods of modern random graph theory and their overlaps with statistical physics. This book will appeal to graduate students and researchers in the fields of statistical physics, complex systems, graph theory, applied mathematics, and theoretical epidemiology.

Semigroup Methods for Evolution Equations on Networks

Delio Mugnolo
Semigroup Methods for Evolution Equations on Networks Book PDF

Author : Delio Mugnolo
Publisher : Springer
Page : 286 pages
File Size : 42,5 Mb
Release : 2014-05-21
Category : Science
ISBN : 9783319046211

Get Book

Semigroup Methods for Evolution Equations on Networks by Delio Mugnolo Pdf

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.

Artificial Intelligence

Sergei O. Kuznetsov,Gennady S. Osipov,Vadim L. Stefanuk
Artificial Intelligence Book PDF

Author : Sergei O. Kuznetsov,Gennady S. Osipov,Vadim L. Stefanuk
Publisher : Springer
Page : 292 pages
File Size : 41,9 Mb
Release : 2018-09-07
Category : Computers
ISBN : 9783030006174

Get Book

Artificial Intelligence by Sergei O. Kuznetsov,Gennady S. Osipov,Vadim L. Stefanuk Pdf

This book constitutes the proceedings of the 16th Russian Conference on Artificial Intelligence, RCAI 2018, Moscow, Russia, in September 2018. The 22 full papers presented along with 4 short papers in this volume were carefully reviewed and selected from 75 submissions. The conference deals with a wide range of topics, including data mining and knowledge discovery, text mining, reasoning, decision making, natural language processing, vision, intelligent robotics, multi-agent systems, machine learning, ontology engineering.

Grammar Of Complexity: From Mathematics To A Sustainable World

Volchenkov Dimitri
Grammar Of Complexity From Mathematics To A Sustainable World Book PDF

Author : Volchenkov Dimitri
Publisher : World Scientific
Page : 284 pages
File Size : 49,9 Mb
Release : 2018-01-17
Category : Mathematics
ISBN : 9789813232518

Get Book

Grammar Of Complexity: From Mathematics To A Sustainable World by Volchenkov Dimitri Pdf

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

Statistical Mechanics and Random Walks

Abram Skogseid,Vicente Fasano
Statistical Mechanics and Random Walks Book PDF

Author : Abram Skogseid,Vicente Fasano
Publisher : Unknown
Page : 0 pages
File Size : 44,5 Mb
Release : 2011-10
Category : Engineering mathematics
ISBN : 1614709661

Get Book

Statistical Mechanics and Random Walks by Abram Skogseid,Vicente Fasano Pdf

In this book, the authors gather and present topical research in the study of statistical mechanics and random walk principles and applications. Topics discussed in this compilation include the application of stochastic approaches to modelling suspension flow in porous media; subordinated Gaussian processes; random walk models in biophysical science; non-equilibrium dynamics and diffusion processes; global random walk algorithm for diffusion processes and application of random walks for the analysis of graphs, musical composition and language phylogeny.

Survival under Uncertainty

Dimitri Volchenkov
Survival under Uncertainty Book PDF

Author : Dimitri Volchenkov
Publisher : Springer
Page : 238 pages
File Size : 44,7 Mb
Release : 2016-06-28
Category : Science
ISBN : 9783319394213

Get Book

Survival under Uncertainty by Dimitri Volchenkov Pdf

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”.

Network Effects of International Shocks and Spillovers

Mr. Alexei Kireyev,Andrei Leonidov
Network Effects of International Shocks and Spillovers Book PDF

Author : Mr. Alexei Kireyev,Andrei Leonidov
Publisher : International Monetary Fund
Page : 43 pages
File Size : 45,9 Mb
Release : 2015-07-07
Category : Business & Economics
ISBN : 9781513500652

Get Book

Network Effects of International Shocks and Spillovers by Mr. Alexei Kireyev,Andrei Leonidov Pdf

This paper proposes a method for assessing international spillovers from nominal demand shocks. It quantifies the impact of a shock in one country on all other countries. The paper concludes that the network effects in shock spillovers can be substantial, comparable, and often exceed the initial shock. Individual countries may amplify, absorb, or block spillovers. Most developed countries pass-through shocks, whereas low-income countries and oil exporters tend to block shock spillovers. The method is used to study demand shocks originating from a large and medium country, China and Ukraine respectively.

Elements of Random Walk and Diffusion Processes

Oliver C. Ibe
Elements of Random Walk and Diffusion Processes Book PDF

Author : Oliver C. Ibe
Publisher : John Wiley & Sons
Page : 280 pages
File Size : 53,8 Mb
Release : 2013-09-23
Category : Mathematics
ISBN : 9781118618097

Get Book

Elements of Random Walk and Diffusion Processes by Oliver C. Ibe Pdf

Presents an important and unique introduction to random walk theory Random walk is a stochastic process that has proven to be a useful model in understanding discrete-state discrete-time processes across a wide spectrum of scientific disciplines. Elements of Random Walk and Diffusion Processes provides an interdisciplinary approach by including numerous practical examples and exercises with real-world applications in operations research, economics, engineering, and physics. Featuring an introduction to powerful and general techniques that are used in the application of physical and dynamic processes, the book presents the connections between diffusion equations and random motion. Standard methods and applications of Brownian motion are addressed in addition to Levy motion, which has become popular in random searches in a variety of fields. The book also covers fractional calculus and introduces percolation theory and its relationship to diffusion processes. With a strong emphasis on the relationship between random walk theory and diffusion processes, Elements of Random Walk and Diffusion Processes features: Basic concepts in probability, an overview of stochastic and fractional processes, and elements of graph theory Numerous practical applications of random walk across various disciplines, including how to model stock prices and gambling, describe the statistical properties of genetic drift, and simplify the random movement of molecules in liquids and gases Examples of the real-world applicability of random walk such as node movement and node failure in wireless networking, the size of the Web in computer science, and polymers in physics Plentiful examples and exercises throughout that illustrate the solution of many practical problems Elements of Random Walk and Diffusion Processes is an ideal reference for researchers and professionals involved in operations research, economics, engineering, mathematics, and physics. The book is also an excellent textbook for upper-undergraduate and graduate level courses in probability and stochastic processes, stochastic models, random motion and Brownian theory, random walk theory, and diffusion process techniques.

Random Walks on Infinite Graphs and Groups

Wolfgang Woess
Random Walks on Infinite Graphs and Groups Book PDF

Author : Wolfgang Woess
Publisher : Cambridge University Press
Page : 350 pages
File Size : 51,6 Mb
Release : 2000-02-13
Category : Mathematics
ISBN : 9780521552929

Get Book

Random Walks on Infinite Graphs and Groups by Wolfgang Woess Pdf

The main theme of this book is the interplay between the behaviour of a class of stochastic processes (random walks) and discrete structure theory. The author considers Markov chains whose state space is equipped with the structure of an infinite, locally finite graph, or as a particular case, of a finitely generated group. The transition probabilities are assumed to be adapted to the underlying structure in some way that must be specified precisely in each case. From the probabilistic viewpoint, the question is what impact the particular type of structure has on various aspects of the behaviour of the random walk. Vice-versa, random walks may also be seen as useful tools for classifying, or at least describing the structure of graphs and groups. Links with spectral theory and discrete potential theory are also discussed. This book will be essential reading for all researchers working in stochastic process and related topics.

Smart City Networks

Stamatina Th. Rassia,Panos M. Pardalos
Smart City Networks Book PDF

Author : Stamatina Th. Rassia,Panos M. Pardalos
Publisher : Springer
Page : 227 pages
File Size : 53,6 Mb
Release : 2017-10-04
Category : Mathematics
ISBN : 9783319613130

Get Book

Smart City Networks by Stamatina Th. Rassia,Panos M. Pardalos Pdf

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.