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Extremal Properties of Random Structures
The extremal characteristics of random structures, including trees, graphs, and networks, are discussed. A statistical physics approach is employed...
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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...
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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....
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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...
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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...
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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...
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13 Dynamic, One-Dimensional and Miscellaneous Problems
The previous part of this monograph makes it clear that the branch of the Mathematical Theory of Contact Mechanics, which deals with quasistatic...
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6 Mathematical Preliminaries
Part II provides mathematical formulations of the models, the assumptions that underlie them, their weak or variational formulations and the...
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11 Contact with Wear or Adhesion
In this chapter we present results on models of frictional contact when the wear of the contacting surfaces is taken into account. The importance of...
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3 Additional E.ects Involved in Contact
More is involved in contact than just friction, although it is the main process. Indeed, during a contact process elastic or plastic deformations of...
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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...
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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...
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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...
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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...
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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...
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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...
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1 Introduction
Considerable progress has been achieved recently in modeling and mathematical analysis of various processes involved in contact between deformable...
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Course 14: Hiking through Glassy Phases: Physics beyond Aging
Experiments performed on a wide range of glassy materials display many interesting phenomena, such as aging behavior. In recent years, a large body...
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Course 6: Glasses, Replicas and All That
In these lectures I will review the approach to glasses based on the replica formalism. Many of the physical ideas are very similar to those of older...
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Regulation of IP 3 Receptors by IP 3 and Ca 2+
Inositol 1,4,5-trisphosphate ( IP 3) receptors are intracellular Ca 2+ channels that mediate release of Ca 2+ from intracellular stores. The channels...