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31 Livan, Giacomo Introduction to Random Matrices I09912 2018 eBook  
32 Squartini, Tiziano Maximum-Entropy Networks I09907 2017 eBook  
33 Sugiura, Sho Formulation of Statistical Mechanics Based on Thermal Pure Quantum States I09901 2017 eBook  
34 Zafeiris, Anna Why We Live in Hierarchies? I09897 2018 eBook  
35 Mantica, Giorgio Emergent Complexity from Nonlinearity, in Physics, Engineering and the Life Sciences I09877 2017 eBook  
36 Piazza, Roberto Statistical Physics I09855 2017 eBook  
37 Bertin, Eric Statistical Physics of Complex Systems I09852 2016 eBook  
38 Torres Alvarez, Pol Thermal Transport in Semiconductors I09829 2018 eBook  
39 Nolting, Wolfgang Theoretical Physics 8 I09802 2018 eBook  
40 Mart??nez-Guerra, Rafael Algorithms of Estimation for Nonlinear Systems I09780 2017 eBook  
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31.    
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TitleIntroduction to Random Matrices : Theory and Practice
Author(s)Livan, Giacomo;Novaes, Marcel;Vivo, Pierpaolo
PublicationCham, Springer International Publishing, 2018.
DescriptionIX, 124 p. 10 illus. in color : online resource
Abstract NoteModern developments of Random Matrix Theory as well as pedagogical approaches to the standard core of the discipline are surprisingly hard to find in a well-organized, readable and user-friendly fashion. This slim and agile book, written in a pedagogical and hands-on style, without sacrificing formal rigor fills this gap. It brings Ph.D. students in Physics, as well as more senior practitioners, through the standard tools and results on random matrices, with an eye on most recent developments that are not usually covered in introductory texts. The focus is mainly on random matrices with real spectrum. The main guiding threads throughout the book are the Gaussian Ensembles. In particular, Wigner???s semicircle law is derived multiple times to illustrate several techniques (e.g., Coulomb gas approach, replica theory). Most chapters are accompanied by Matlab codes (stored in an online repository) to guide readers through the numerical check of most analytical results
ISBN,Price9783319708850
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. PHYSICS 8. PROBABILITIES 9. Probability Theory and Stochastic Processes 10. STATISTICAL PHYSICS 11. Statistical Physics and Dynamical Systems
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32.     
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TitleMaximum-Entropy Networks : Pattern Detection, Network Reconstruction and Graph Combinatorics
Author(s)Squartini, Tiziano;Garlaschelli, Diego
PublicationCham, Springer International Publishing, 2017.
DescriptionXII, 116 p. 34 illus., 31 illus. in color : online resource
Abstract NoteThis book is an introduction to maximum-entropy models of random graphs with given topological properties and their applications. Its original contribution is the reformulation of many seemingly different problems in the study of both real networks and graph theory within the unified framework of maximum entropy. Particular emphasis is put on the detection of structural patterns in real networks, on the reconstruction of the properties of networks from partial information, and on the enumeration and sampling of graphs with given properties.?? After a first introductory chapter explaining the motivation, focus, aim and message of the book, chapter 2 introduces the formal construction of maximum-entropy ensembles of graphs with local topological constraints. Chapter 3 focuses on the problem of pattern detection in real networks and provides a powerful way to disentangle nontrivial higher-order structural features from those that can be traced back to simpler local constraints. Chapter 4 focuses on the problem of network reconstruction and introduces various advanced techniques to reliably infer the topology of a network from partial local information. Chapter 5 is devoted to the reformulation of certain ???hard??? combinatorial operations, such as the enumeration and unbiased sampling of graphs with given constraints, within a ???softened??? maximum-entropy framework. A final chapter offers various overarching remarks and take-home messages. By requiring no prior knowledge of network theory, the book targets a broad audience ranging from PhD students approaching these topics for the first time to senior researchers interested in the application of advanced network techniques to their field
ISBN,Price9783319694382
Keyword(s)1. Applications of Graph Theory and Complex Networks 2. COMPLEX SYSTEMS 3. COMPLEXITY 4. COMPUTATIONAL COMPLEXITY 5. EBOOK 6. EBOOK - SPRINGER 7. GRAPH THEORY 8. PHYSICS 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems 11. SYSTEM THEORY
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33.     
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TitleFormulation of Statistical Mechanics Based on Thermal Pure Quantum States
Author(s)Sugiura, Sho
PublicationSingapore, Springer Singapore, 2017.
DescriptionXII, 73 p. 4 illus. in color : online resource
Abstract NoteThis thesis introduces the concept of "thermal pure quantum (TPQ) states", which are pure quantum states in equilibrium. The author establishes a new formulation of statistical mechanics based on the TPQ states. This formulation allows us to obtain not only mechanical variables but also thermodynamic variables such as entropy and free energy from a single TPQ state. Furthermore, the formulation provides a new physical description in which all fluctuations including thermally driven ones are uniquely identified to be quantum fluctuations. The use of TPQ formulation has practical advantages in its application to numerical computations and allows for significant reduction in computation cost in numerics. For demonstration purposes, a numerical computation based on TPQ formulation is applied to a frustrated two-dimensional quantum spin model, and the result is also included in this book.
ISBN,Price9789811015069
Keyword(s)1. COMPLEX SYSTEMS 2. Condensed materials 3. DYNAMICAL SYSTEMS 4. EBOOK 5. EBOOK - SPRINGER 6. Phase transformations (Statistical physics) 7. Quantum Gases and Condensates 8. QUANTUM PHYSICS 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems 11. Strongly Correlated Systems, Superconductivity 12. SUPERCONDUCTIVITY 13. SUPERCONDUCTORS
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34.     
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TitleWhy We Live in Hierarchies? : A Quantitative Treatise
Author(s)Zafeiris, Anna;Vicsek, Tam??s
PublicationCham, Springer International Publishing, 2018.
DescriptionXIV, 110 p. 42 illus., 39 illus. in color : online resource
Abstract NoteThis book systematically interprets and documents new, unifying principles and basic laws describing the most relevant aspects of hierarchy. To do so, it discusses recent experiments and models that are simple and realistic enough to reproduce the observations, and develops concepts for a better understanding of the complexity of systems consisting of many organisms. The book covers systems ranging from flocks of birds to groups of people. ?? Although it focuses on hierarchical collective behavior??in general, two aspects pop up in the majority of cases: collective motion and dynamically changing, partially directed networks (and the natural relation between the two). In addition, it offers a brief description of the most relevant definitions and concepts involved in the context of hierarchies, presenting both a review of the current literature and a number of new experimental and computational results in more detail. It is a valuable resource for students and scholars pursuing research on the structure of interactions within the collectives of animals and humans
ISBN,Price9783319704838
Keyword(s)1. Applications of Graph Theory and Complex Networks 2. COMPLEX SYSTEMS 3. COMPLEXITY 4. COMPUTATIONAL COMPLEXITY 5. EBOOK 6. EBOOK - SPRINGER 7. PHYSICS 8. Science???Social aspects 9. Societal Aspects of Physics, Outreach and Education 10. STATISTICAL PHYSICS 11. Statistical Physics and Dynamical Systems 12. SYSTEM THEORY
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35.     
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TitleEmergent Complexity from Nonlinearity, in Physics, Engineering and the Life Sciences : Proceedings of the XXIII International Conference on Nonlinear Dynamics of Electronic Systems, Como, Italy, 7-11 September 2015
Author(s)Mantica, Giorgio;Stoop, Ruedi;Stramaglia, Sebastiano
PublicationCham, Springer International Publishing, 2017.
DescriptionXXV, 222 p. 113 illus., 86 illus. in color : online resource
Abstract NoteThis book collects contributions to the XXIII international conference ???Nonlinear dynamics of electronic systems???. Topics range from non-linearity in electronic circuits to synchronisation effects in complex networks to biological systems, neural dynamics and the complex organisation of the brain. Resting on a solid mathematical basis, these investigations address highly interdisciplinary problems in physics, engineering, biology and biochemistry
ISBN,Price9783319478104
Keyword(s)1. BIOCHEMISTRY 2. Biochemistry, general 3. COMPLEX SYSTEMS 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. ELECTRONICS 8. Electronics and Microelectronics, Instrumentation 9. Mathematical Models of Cognitive Processes and Neural Networks 10. MICROELECTRONICS 11. Neural networks (Computer science)?? 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems 14. Systems biology
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36.     
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TitleStatistical Physics : A Prelude and Fugue for Engineers
Author(s)Piazza, Roberto
PublicationCham, Springer International Publishing, 2017.
DescriptionXV, 453 p. 59 illus : online resource
Abstract NoteThis book, provides a general introduction to the ideas and methods of statistical mechanics with the principal aim of meeting the needs of Master???s students in chemical, mechanical, and materials science engineering. Extensive introductory information is presented on many general physics topics in which students in engineering are inadequately trained, ranging from the Hamiltonian formulation of classical mechanics to basic quantum mechanics, electromagnetic fields in matter, intermolecular forces, and transport phenomena. Since engineers should be able to apply physical concepts, the book also focuses on the practical applications of statistical physics to material science and to cutting-edge technologies, with brief but informative sections on, for example, interfacial properties, disperse systems, nucleation, magnetic materials, superfluidity, and ultralow temperature technologies. The book adopts a graded approach to learning, the opening four basic-level chapters being followed by advanced ???starred??? sections in which special topics are discussed. Its relatively informal style, including the use of musical metaphors to guide the reader through the text, will aid self-learning.
ISBN,Price9783319445373
Keyword(s)1. CHEMICAL ENGINEERING 2. COMPLEX SYSTEMS 3. CONDENSED MATTER 4. CONDENSED MATTER PHYSICS 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. Industrial Chemistry/Chemical Engineering 9. MECHANICS 10. Mechanics, Applied 11. Solid Mechanics 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems
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37.     
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TitleStatistical Physics of Complex Systems : A Concise Introduction
Author(s)Bertin, Eric
PublicationCham, Springer International Publishing, 2016.
DescriptionXIV, 172 p. 23 illus : online resource
Abstract NoteThis course-tested primer provides graduate students and non-specialists with a basic understanding of the concepts and methods of statistical physics and demonstrates their wide range of applications to interdisciplinary topics in the field of complex system sciences, including selected aspects of theoretical modeling in biology and the social sciences. Generally speaking, the goals of statistical physics may be summarized as follows: on the one hand to study systems composed of a large number of interacting units, and on the other to predict the macroscopic, collective behavior of the system considered from the perspective of the microscopic laws governing the dynamics of the individual entities. These two goals are essentially also shared by what is now called 'complex systems science', and as such, systems studied in the framework of statistical physics may be considered to be among the simplest examples of complex systems ??? while also offering a rather well developed mathematical treatment. The second edition has been significantly revised and expanded, featuring in particular three new chapters addressing non-conserved particles, evolutionary population dynamics, networks, properties of both individual and coupled simple dynamical systems, and convergence theorems, as well as short appendices that offer helpful hints on how to perform simple stochastic simulations in practice. Yet, the original spirit of the book ??? to remain accessible to a broad, non-specialized readership ??? has been kept throughout: the format is a set of concise, modular and self-contained topical chapters, avoiding technicalities and jargon as much as possible, and complemented by a wealth of worked-out examples, so as to make this work useful as a self-study text or as textbook for short courses. From the reviews of the first edition: ?????? a good introduction to basic concepts of statistical physics and complex systems for students and researchers with an interest in complex systems in other fields ??? .??? Georg Hebermehl, Zentralblatt MATH, Vol. 1237, 2012 ?????? this short text remains very refreshing for the mathematician.??? Dimitri Petritis, Mathematical Reviews, Issue 2012k
ISBN,Price9783319423401
Keyword(s)1. COMPLEX SYSTEMS 2. COMPLEXITY 3. COMPUTATIONAL COMPLEXITY 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. STATISTICAL PHYSICS 8. Statistical Physics and Dynamical Systems 9. SYSTEM THEORY
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38.     
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TitleThermal Transport in Semiconductors : First Principles and Phonon Hydrodynamics
Author(s)Torres Alvarez, Pol
PublicationCham, Springer International Publishing, 2018.
DescriptionXV, 163 p. 88 illus., 58 illus. in color : online resource
Abstract NoteStarting from a broad overview of heat transport based on the Boltzmann Transport Equation, this book presents a comprehensive analysis of heat transport in bulk and nanomaterials based on a kinetic-collective model (KCM). This has become key to understanding the field of thermal transport in semiconductors, and represents an important stride. The book describes how heat transport becomes hydrodynamic at the nanoscale, propagating very much like a viscous fluid and manifesting vorticity and friction-like behavior. It introduces a generalization of Fourier???s law including a hydrodynamic term based on collective behavior in the phonon ensemble. This approach makes it possible to describe in a unifying way recent experiments that had to resort to unphysical assumptions in order to uphold the validity of Fourier???s law, demonstrating that hydrodynamic heat transport is a pervasive type of behavior in semiconductors at reduced scales.
ISBN,Price9783319949833
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. NANOTECHNOLOGY 4. Nanotechnology and Microengineering 5. SEMICONDUCTORS 6. STATISTICAL PHYSICS 7. Statistical Physics and Dynamical Systems 8. THERMODYNAMICS
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39.     
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TitleTheoretical Physics 8 : Statistical Physics
Author(s)Nolting, Wolfgang
PublicationCham, Springer International Publishing, 2018.
DescriptionXIV, 638 p : online resource
Abstract NoteThis textbook offers a clear and comprehensive introduction to statistical physics, one of the core components of advanced undergraduate physics courses. It follows on naturally from the previous volumes in this series, using methods of probability theory and statistics to solve physical problems. The first part of the book gives a detailed overview on classical statistical physics and introduces all mathematical tools needed. The second part of the book covers topics related to quantized states, gives a thorough introduction to quantum statistics, followed by a concise treatment of quantum gases. Ideally suited to undergraduate students with some grounding in quantum mechanics, the book is enhanced throughout with learning features such as boxed inserts and chapter summaries, with key mathematical derivations highlighted to aid understanding. The text is supported by numerous worked examples and end of chapter problem sets. About the Theoretical Physics series Translated from the renowned and highly successful German editions, the eight volumes of this series cover the complete core curriculum of theoretical physics at undergraduate level. Each volume is self-contained and provides all the material necessary for the individual course topic. Numerous problems with detailed solutions support a deeper understanding. Nolting is famous for his refined didactical style and has been referred to as the "German Feynman" in reviews
ISBN,Price9783319738277
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. PHYSICS 8. QUANTUM PHYSICS 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems
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40.    
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TitleAlgorithms of Estimation for Nonlinear Systems : A Differential and Algebraic Viewpoint
Author(s)Mart??nez-Guerra, Rafael;Cruz-Ancona, Christopher Diego
PublicationCham, Springer International Publishing, 2017.
DescriptionXX, 197 p. 58 illus., 10 illus. in color : online resource
Abstract NoteThis book acquaints readers with recent developments in dynamical systems theory and its applications, with a strong focus on the control and estimation of nonlinear systems. Several algorithms are proposed and worked out for a set of model systems, in particular so-called input-affine or bilinear systems, which can serve to approximate a wide class of nonlinear control systems. These can either take the form of state space models or be represented by an input-output equation. The approach taken here further highlights the role of modern mathematical and conceptual tools, including differential algebraic theory, observer design for nonlinear systems and generalized canonical forms
ISBN,Price9783319530406
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. DYNAMICAL SYSTEMS 3. Dynamical Systems and Ergodic Theory 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. ERGODIC THEORY 8. STATISTICAL PHYSICS 9. Statistical Physics and Dynamical Systems 10. VIBRATION 11. Vibration, Dynamical Systems, Control
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