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This volume constitutes the proceedings of NetSci-X 2020: the Sixth International School and Conference on Network Science, which was held in Tokyo, Japan, in January 2020. NetSci-X is the Network Science Society’s winter conference series that covers a wide variety of interdisciplinary topics on networks. Participants come from various fields, including (but not limited to): mathematics, physics, computer science, social sciences, management and marketing sciences, organization science, communication science, systems science, biology, ecology, neuroscience, medicine, as well as business. This volume consists of contributed papers that have been accepted to NetSc-X 2020 through a rigorous peer review process. Researchers, students, and professionals will gain first-hand information about today’s cutting-edge research frontier of network science.
The International Winter School on Electronic Properties of Polymers Orien tation and Dimensionality of Conjugated Systems, held March 9-16, 1991, in Kirchberg, ('lYrol) Austria, was a sequel to three meetings on similar subjects held there. The 1991 winter school was again organized in cooperation with the "Bundesministerium fUr Wissenschaft und Forschung" in Austria, and with the "Bundesministerium fUr Forschung und Technologie" in the Federal Republic of Germany. The basic idea of the meeting was to provide an opportunity for experienced scientists from universities and industry to discuss their most re cent results and for students and young scientists to become familiar with the present status of research and applications in the field. Like the previous winter schools on polymers, this one concentrated on the electronic structure and potential~ for application of polymers with conjugated double bonds. This time, however, special attention was paid to the effects of orientation and dimensionality. Anisotropy of the electric conductivity in stretch-oriented samples and whether the transport mechanisms are one-, two-, or three-dimensional or might even have a "fractal dimensionality" were there fore central topics. The problem of orientation was extended to systems such as Langmuir-Blodgett films and other layered structures. Accordingly, thin films were the focus of most of the application oriented contributions. Whereas in the previous winter schools discussions on applications dealt with "large volume applications" such as electromagnetic shielding and energy storage, this time "molecular materials for electronics" and prospects of "molecular electronics" were at the center of interest.
At the International Winter School on "Electronic Properties of Polymers and Related Compounds" particular attention was paid to a very new and special field in polymer research. It is concerned with the study of the electronic structure of polymers and with physical and chemical properties directly re lated to this structure. In particular, tutorial and research contributions on electrical, electrochemical, optical, magnetic, lattice dynamical and structural properties were presented. In addition, review reports on related topics such as charge transfer complexes and linear-chain compounds (transi tion-metal trichalcogenides) were included. In two discussion meEjtings, the special role of polyacetylene and possible present and future applications of the electronic properties of polymers, as e.g. conductors or as electrodes in electrochemical cells, were elucidated. The electronic properties of polymers cover a wide range of research problems which are of particular interest for polymers with a 1T-electron system. Thus, a great part of the work presented was concerned with conjuga ted systems. Additional presentations dealt with other systems such as bio polymers, photopolymers or electrets, which are of significant scientific and technical importance. It was demonstrated how their electronic proper ties are increasingly being investigated from a fundamental point of view by applying known concepts of snlid-state science.
This volume contains papers from the lectures and seminars given at the School. The lectures centered around a review and discussion of the most significant results obtained to date through the study of nuclear structure with electromagnetic and other high energy probes. Seminars of a more specialized nature were devoted to a discussion of recent results obtained in several research centers.
This volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quantum field theory. These include Hopf algebras underlying renormalization schemes in quantum field theory, noncommutative geometry with applications to index theory on one hand and the study of aperiodic solids on the other, geometry and topology of low dimensional manifolds with applications to topological field theory, Chern-Simons supergravity and the anti de Sitter/conformal field theory correspondence. It comprises seven lectures organized around three main topics, noncommutative geometry, topological field theory, followed by supergravity and string theory, complemented by some short communications by young participants of the school.