In this talk, the focus will mainly be on geometrical apects of W algebras as they appear in string theories, rather than in integrable systems and so on. In string theory, W algebras can play a role in two ways. Either they can appear as a ‘global’ symmetry algebra in ordinary string theory, or they can be used as a local symmetry algebra to construct generalizations of string theory usually c...

Recently, a minimal domain dubbed the numbers game has been proposed to illustrate well-known issues in co-evolutionary dynamics. The domain permits controlled introduction of features like intransitivity, allowing researchers to understand failings of a co-evolutionary algorithm in terms of the domain. In this paper, we show theoretically that a large class of co-evolution problems closely res...

In this paper we present a new procedure to obtain unitary and irreducible representations of Lie groups starting from the cotangent bundle of the group (the cotangent group). We discuss some applications of the construction in quantumoptics problems.

In this paper we study generalized possibility and necessity measures on MV-algebras of [0, 1]valued functions (MV-clans) in the framework of idempotent mathematics, where the usual field of reals R is replaced by the max-plus semiring Rmax. We prove results about extendability of partial assessments to possibility and necessity measures, and we characterize the geometrical properties of the sp...

We study the transport properties of continuous-time quantum walks (CTQWs) over finite two-dimensional structures with a given number of randomly placed bonds and with different aspect ratios (ARs). Here, we focus on the transport from, say, the left side to the right side of the structure where absorbing sites are placed. We do so by analyzing the long-time average of the survival probability ...

We study disk galaxies in the framework of general relativity to focus on possibility that, even low energy limit, there are relevant corrections with respect purely Newtonian approach. Our analysis encompasses model by considering both a expansion and exact solutions, making clear connection between these different approaches. In particular, we two limits: well-known gravitomagnetic analogy ne...