We use methods from nonstandard analysis to give a very simple construction of a space and show that its elements can be used to represent generalized Wiener functionals. This space is large enough to include the Kontratiev space and is flexible enough to handle generalized stochastic processes,...

The extension of some classical immunization results within the framework of the generalized s-convex orders is considered. A detailed study of the special case s=3 is undertaken. A portfolio strategy, which achieves immunization against 3-convex shift factors, necessarily matches durations and...

Let Φ be a flow on a smooth, compact, finite-dimensional manifold . Consider the subset D(Φ) of (, ) consisting of diffeomorphisms of preserving the foliation of the flow Φ. Let also D(Φ) be the identity path component of D(Φ) with compact-open topology. We prove that under mild conditions...

As today, after almost 35 years the famous Graceful Trees Conjecture (GTC), remains widely open. Several unsuccessful methods have been devised in the past to settle this tree labeling conjecture. In this paper we re-formulated it as a tree embeding problem and show the equivalance of embedding...

In this paper a convergence result for the BBGKY hierarchy to a Boltzmann-like equation, in the case of anelastic collision, is shown. Boltzmann-like equations are often used to model dissipative dynamical systems such as granular x media. This convergence result aims to make a contribution...

In this paper a convergence result for the BBGKY hierarchy to a Boltzmann-like equation, in the case of anelastic collision, is shown. Boltzmann-like equations are often used to model dissipative dynamical systems such as granular x media. This convergence result aims to make a contribution...

We study Gevrey properties and summability of power series in two variables that are formal solutions of a Cauchy problem for general linear partial differential equations with constant coefficents. Doing so, we extend earlier results in two articles of , resp. , for the complex heat equation,...