We present a method to enlarge the phase space of a canonical Hamiltonian System in order to remove coordinate singularities arising from a nontrivial topology of the configuration space. This “inflation” preserves the canonical structure of the system and generates new constants of motion that realize the constraints. As a first illustrative example the spherical pendulum is inflated by embedd...

We discuss the Bose-Einstein condensation (BEC) for an ideal gas of bosons in the framework of Tsallis's nonextensive statistical mechanics. We study the corrections to the standard BEC formulas due to a weak nonextensivity of the system. In particular, we consider three cases in the D-dimensional space: the homogeneous gas, the gas in a harmonic trap and the relativistic homogenous gas. The re...

Homogenous Virtual Environments evolved into Mixed Environments thanks to recent Augmented Reality techniques. We have done research on novel interaction techniques in virtual environments exploiting the usage of 3D virtual space. We will briefly present our Augmented Reality set-up for mixed reality experiments and we will analyze two distinct mixed environment case studies, and present two ne...

A model for effects related to hysteresis in continuum mechanics is introduced. Its key idea is to consider local minimizers of Young measures describing the deformation gradient of a body. These Young measures are defined as limit of a quasi-static evolution by means of a gradient flow with respect to a special “regularized” Wasserstein metric. The model is described for the space-homogenous c...

In this paper, we propose a technique for video segmentation using non-linear diffusion, incorporating watershed transform, colour similarity merging and motion estimation. The current frame t to be segmented is spatially partition into homogenous regions based on watershed transform with colour similarity merging in the CIELUV colour space. A future frame t + x, is then used as reference to es...

with regard to the problem of time, management education discourses originate in a paradigmatic framework which leads to the assimilation of human practices in the overall economic-functionalist view of human beings and of the world as space for history. Thus, time itself is rendered into a homogenous resource to be managed according to the agenda of the corporate organisation as main unit of a...

We propose a rational quantum deformed nonlocal currents in the homogenous space SU(2)k/U(1), and in terms of it and a free boson field a representation for the Drinfeld currents of Yangian double at a general level k = c is obtained. In the classical limit h̄ → 0, the quantum nonlocal currents become SU(2)k parafermion, and the realization of Yangian double becomes the parafermion realization o...