s of the minicourses Kenichi Konishi — Università di Pisa Advent of non-Abelian vortices Generalizing the well-known Abrikosov-Nielsen-Olesen vortex solution in the Abelian Higgs model to non-Abelian gauge theories, vortex solutions carrying continuous zeromodes (vortex moduli space) were constructed in the year 2003 inspired by supersymmetric SU(N) gauge theories, triggering an intense researc...

Important features of networks, e.g., length of shortest paths, centrality, are defined in a graph theoretical way. Bipartite graphs are frequently applied, not only in computer science (e.g. PetriNets), but in other sciences as well. They are used to represent various problems, for example, in medicine or in economy. The relations between customers and products can be represented by bipartite ...

Predictions and structure studies of superheavy elements (SHE) have been made, since the establishment of the nuclear shell model[1]. Especially in the last decade, elaborate investigations have been performed of shell correction energy and thereby of a possible location of the superheavy island in the nuclear chart. Furthermore, not only about the center of the island, but also about stability...

What does theoretical computer science have to say about human computation? We identify three problems at the intersection of crowdsourcing, operations research, and theoretical computer science whose solution would have a major impact on the design, evaluation, and construction of real crowdsourcing systems. In some cases, these problems can let us sidestep apparently difficult HCI challenges ...

Interferometry is discussed in terms of the representation of the source. In particular, scale– invariant 1–d hydrodynamics is revisited, and extended to the case of unequal transverse masses. It is argued that that kaon emission occurs over a short time interval. Exact results for models of two– and three–dimensional flow are presented, which exhibit altered scaling laws. Such qualitative tren...

The concept of the theory of continuous groups of transformations has attracted the attention of applied mathematicians and engineers to solve many physical problems in the engineering sciences. Three applications are presented in this paper. The first one is the problem of time-dependent vertical temperature distribution in a stagnant lake. Two cases have been considered for the forms of the w...

In this paper, a new approach for finding an approximate solution for discrete optimal control problems is introduced. In this method the problem is transformed to a continuous optimal control problem whose solution may give rise to a good approximate solution for the original problem. Then, a measure-theoretical approach is applied to solve the new problem. The method is extended to solve time...

We describe quantum-field-theoretical (QFT) techniques for mapping quantum problems onto c-number stochastic problems. This approach yields results which are identical to phase-space techniques [C.W. Gardiner, Quantum Noise (1991)] when the latter result in a Fokker-Planck equation for a corresponding pseudo-probability distribution. If phase-space techniques do not result in a Fokker-Planck eq...