Group Theory is essentially the theory of symmetry for mathematical and physical systems, with major impact in diverse areas of mathematics. The Representation Theory of Finite Groups is a central area of Group Theory, with many fascinating and deep open problems, and significant recent successes. In 1963 R. Brauer [B] formulated a list of deep conjectures about ordinary and modular representat...

We study a dynamic game in which all players initially possess the same information and coordinate on a high level of activity. Eventually, players with a long string of bad experiences become inactive. This prospect can cause a coordination avalanche in which all activity in the population stops. Coordination avalanches are part of Pareto-efficient equilibria; they can occur at any point in th...

This thesis treats several information theoretic problems with a unified geometric approach. The development of this approach was motivated by the challenges encountered while working on these problems, and in turn, the testing of the initial tools to these problems suggested numerous refinements and improvements on the geometric methods. In ergodic probabilistic settings, Sanov's theorem gives...

We have investigated the electronic structure and carrier mobility of armchair and zigzag single-walled MoS₂ nanotubes using density functional theory combined with Boltzmann transport method with relaxation time approximation. It is shown that armchair nanotubes are indirect bandgap semiconductors, while zigzag nanotubes are direct ones. The band gaps of single-walled MoS₂ nanotubes are along ...

Wedemonstrate a cantedmagnetization of biatomic zigzag Co chains grown on the (5 × 1) reconstructed Ir(001) surface using density functional theory (DFT) calculations and spin-polarized scanning tunnelingmicroscopy (SP-STM) experiments. It is observed by STM that biatomic Co chains grow in three different structural configurations. OurDFT calculations show that they are all in a ferromagnetic (...

The properties of a graphene nanostructure are strongly influenced by the arrangement of the atoms on its edge. Growing graphene nanostructures with specified edge types in practical, scalable ways has proven challenging, with limited success to date. Here we report a method for producing graphene flakes with hexagonal shape over large areas, by a brief chemical vapor deposition growth at atmos...

Zheng Cui Rutherford Appleton Laboratory Chilton, Didcot Oxon OX11 0QX United Kingdom Abstract. A new photolithographic technique that combines the advantages of a programmable digital liquid crystal display (LCD) system and projection photolithography system to fabricate arbitrarily shaped microstructures using LCD panels as real-time masks is reported. Its principle and design method are expl...

A general conceptual framework for large-scale neocortical dynamics based on data from many laboratories is applied to a variety of experimental designs, spatial scales, and brain states. Partly distinct, but interacting local processes (e.g., neural networks) arise from functional segregation. Global processes arise from functional integration and can facilitate (top down) synchronous activity...

The energetics and electronic properties of different topology of Pt wires including linear, zigzag and ladder structures on MoSe2 monolayer have been investigated in the framework of density functional theory ( DFT). The predicted order of stability of Pt wire on MoSe2 monolayer is found to be: linear > ladder > zigzag. Pt wires induce states near the Fermi level of MoSe2 that results into met...