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  1. Introduction

    The state of a physical system is the mathematical description of our knowledge of it, and provides information on its future and past. A state...
    Matteo G.A. Paris, Jaroslav Řeháček in Quantum State Estimation
    Chapter
  2. 2 Quantum Tomographic Methods

    The state of a physical system is the mathematical object that provides a complete information on the system. The knowledge of the state is...
    Giacomo Mauro D’Ariano, Matteo G.A. Paris, Massimiliano F. Sacchi in Quantum State Estimation
    Chapter
  3. 9 Quantum Operations on Qubitsand Their Characterization

    Information encoded in quantum system has to obey rules of quantum physics which impose strict bounds on state estimation and on possible...
    Francesco De Martini, Marco Ricci, Fabio Sciarrino in Quantum State Estimation
    Chapter
  4. Extremal Properties of Random Structures

    The extremal characteristics of random structures, including trees, graphs, and networks, are discussed. A statistical physics approach is employed...
    Eli Ben-Naim, Paul L. Krapivsky, Sidney Redner in Complex Networks
    Chapter
  5. On the Analysis of Backtrack Proceduresfor the Colouring of Random Graphs

    Backtrack search algorithms are procedures capable of deciding whether a decision problem has a solution or not through a sequence of trials and...
    Rémi Monasson in Complex Networks
    Chapter
  6. Attacks and Cascades in Complex Networks

    This paper reviews two problems in the security of complex networks: cascades of overload failures on nodes and range-based attacks on links....
    Ying-Cheng Lai, Adilson E. Motter, Takashi Nishikawa in Complex Networks
    Chapter
  7. Tomography and Stability of Complex Networks

    We study the structure of generalized random graphs with a given degree distribution P(k), and review studies on their behavior under both random...
    Tomer Kalisky, Reuven Cohen, ... Shlomo Havlin in Complex Networks
    Chapter
  8. Topology, Hierarchy, and Correlations in Internet Graphs

    We present a statistical analysis of different metrics characterizing the topological properties of Internet maps, collected at two different...
    Romualdo Pastor-Satorras, Alexei Vázquez, Alessandro Vespignani in Complex Networks
    Chapter
  9. The Small World Phenomenonin Hybrid Power Law Graphs

    The small world phenomenon, that consistently occurs in numerous existing networks, refers to two similar but different properties — small average...
    Fan Chung, Linyuan Lu in Complex Networks
    Chapter
  10. 8 Characterization of Quantum Devices

    Using quantum tomography and a single entangled state it is possible to characterize completely a quantum device, a channel, or a measuring...
    Giacomo Mauro D’Ariano, Paoloplacido Lo Presti in Quantum State Estimation
    Chapter
  11. Critical Phenomena in a Small World

    We consider the behavior of various systems on a small-world network near a critical point. Our starting point is a different, nonrandom system with...
    Matthew B. Hastings, Balázs Kozma in Complex Networks
    Chapter
  12. Who Is the Best Connected Scientist?A Study of Scientific Coauthorship Networks

    Using data from computer databases of scientific papers in physics, biomedical research, and computer science, we have constructed networks of...
    Mark E.J. Newman in Complex Networks
    Chapter
  13. Scholarly Information Network

    I review the background and some recent trends of a particular scholarly information network, ar**v.org, and discuss some of its implications for new...
    Paul Ginsparg in Complex Networks
    Chapter
  14. Spectral Analysis of Random Networks

    We review a general approach that describes the spectra of eigenvalues for random graphs with a local tree-like structure. The exact equations to the...
    Sergei N. Dorogovtsev, Alexander V. Goltsev, ... Alexander N. Samukhin in Complex Networks
    Chapter
  15. Theoretical Neuroanatomy:Analyzing the Structure, Dynamics,and Function of Neuronal Networks

    The mammalian brain is an extraordinary object: its networks give rise to our conscious experiences as well as to the generation of adaptive behavior...
    Anil K. Seth, Gerald M. Edelman in Complex Networks
    Chapter
  16. Information Theory of Complex Networks: On Evolution and Architectural Constraints

    Complex networks are characterized by highly heterogeneous distributions of links, often pervading the presence of key properties such as robustness...
    Ricard V. Solé, Sergi Valverde in Complex Networks
    Chapter
  17. Evolution of the Internet Topology and Traffic Dynamics of Data Packets

    In recent years, the Internet has become one of the most influential media in our daily life, going beyond in its role as the basic infrastructure in...
    Kwang-Il Goh, Byungnam Kahng, Doochul Kim in Complex Dynamics in Communication Networks
    Chapter
  18. 9. Switched Scalable Video Coding Systems

    Scalable video coding means that a video sequence is only encoded once and the coded bitstream has the capability of sending any sub-bitstream...
    Zhengguo Li, Yengchai Soh, Changyun Wen in Switched and Impulsive Systems
    Chapter
  19. 4. Stability of Nonlinear Switched and Impulsive Systems

    In this chapter, we shall study the stability of nonlinear switched and impulsive systems of the form...
    Zhengguo Li, Yengchai Soh, Changyun Wen in Switched and Impulsive Systems
    Chapter
  20. 1. Examples and Modelling of Switched and Impulsive Systems

    When you begin to read this book, you may ask: “what is a switched and impulsive system?” This is a question that may be best answered through...
    Zhengguo Li, Yengchai Soh, Changyun Wen in Switched and Impulsive Systems
    Chapter
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