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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... -
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... -
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.... -
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... -
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... -
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... -
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... -
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... -
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... -
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... -
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... -
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... -
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... -
Polymer-Defined Semiconductor Nanostructures
Semiconductor nanostructures with sizes down to a few nanometers can be defined in different, highly parallel processes with the aid of polymers. In... -
Quantum Cascade Lasers for the Mid-infrared Spectral Range: Devices and Applications
Quantum cascade lasers emitting at λ∼5 µm based on different active region designs are investigated. Using lattice-matched GaInAs/AlInAs on InP... -
From Digital to Analogue Magnetoelectronics: Theory of Transport in Non-collinear Magnetic Nanostructures
Magnetoelectronics is mainly digital, i.e. governed by up and down magnetizations. In contrast, analogue magnetoelectronics makes use of phenomena... -
Models for Food Webs
Food webs are complex systems of many interacting biological species. After summarizing some of their properties, this contribution presents... -
Modeling of Metals and Metal Sponges via Embedded Particle Computer Simulation
In this article we review the embedded atom method when adapted to study solid friction and the mechanical behavior of model metals. The method... -
Order Out of Noise: Maximizing Coherence of Noisy Oscillators
In many nonlinear systems noise can play a constructive role, leading to an appearance of an ordered state. In this paper we describe the effects of... -
Fractional Aharonov-Bohm Oscillations in a Kondo Correlated Few-Electron Quantum Ring
We investigate a small quantum ring fabricated by local oxidation with an atomic force microscope. For strong tunnel coupling to the leads we observe...