In this paper we propose and analyze a new descriptive model of armed conflicts among N groups. The model is composed ofN ordinary differential equations, with 3(N+N) constant parameters that describe military characteristics and recruitment policies, ranging from pure defensivism to pure fanaticism. The results are only preliminary, but point out interesting (though not very surprising) proper...

We analyse several product measures in the space of mixed quantum states. In particular, we study measures induced by the operation of partial tracing. The natural, rotationally invariant measure on the set of all pure states of a N ×K composite system, induces a unique measure in the space of N × N mixed states (or in the space of K ×K mixed states, if the reduction takes place with respect to...

In this paper, we analyse the impact of a (small) heterogeneity of jump type on the most simple localized solutions of a 3-component FitzHugh–Nagumotype system. We show that the heterogeneity can pin a 1-front solution, which travels with constant (non-zero) speed in the homogeneous setting, to a fixed, explicitly determined, distance from the heterogeneity. Moreover, we establish the stability...

This paper argues that the renormalization group technique used to characterize phase transitions in condensed matter systems can be used to classify Boolean functions. A renormalization group transformation is presented that maps an arbitrary Boolean function ofN Boolean variables to one ofN−1 variables. Applying this transformation to a generic Boolean function (one whose output for each inpu...