Multilayered vortices

Vortices ∗

I discuss in these lectures vortex-like classical solutions to the equations of motion of gauge theories with spontaneous symmetry breaking. Starting from the Nielsen-Olesen ansatz for the Abelian Higgs model, extensions to the case in which gauge dynamics is governed by Yang-Mills and Chern-Simons actions are presented. The case of semilocal vortices and also the coupling to axions is analyzed...

Multilayered Social Networks

A social network (SN) 1 is defined as a tuple , where: V – is a not-empty set of actors representing social entities: humans, organizations, departments etc., called also vertices, nodes, vertexes, members, cases, agents, instances or points; E – is a set of directed edges (relations between actors called also arcs, connections, or ties) where a single edge is represented by a tuple ,...

Local Feedback Multilayered Networks

In this paper, we investigate the capabilities of Local Feedback Multi-Layered Networks, a particular class of recurrent networks, in which feedback connections are only allowed from neurons to themselves. In this class, learning can be accomplished by an algorithm which is local in both space and time. We describe the limits and properties of these networks and give some insights on their use ...

Multilayered array computing

The objective of this paper is to develop algorithms for efficient and fast implementation in a multilayered mode of signal-processing tasks such as convolution, correlation, matrix multiplication, Fourier transformation, Hilbert transformation, etc., using structures built out of a large number of simple cells. Some of these designs are essentially conceptual, while others, such as the ones fo...

Multilayered Amorphous Silicon Structures