The aim of the paper is to present a simple method to rederive some recent results concerning distribution identities for the so called α-quantile for a real-valued stochastic process (see [1] and [2]). Also, the first discrete time version of this result, which seems due to [4], shall appear...

The aim of the paper is to present a simple method to rederive some recent results concerning distribution identities for the so called α-quantile for a real-valued stochastic process (see [1] and [2]). Also, the first discrete time version of this result, which seems due to [4], shall appear...

Although symmetries play a major role in physics, their use in finance is relatively new and, to the best of our knowledge, can be traced to 1995 when Kholodnyi introduced the beliefs-preferences gauge symmetry. One of the main outcomes of the beliefs-preferences gauge symmetry is that it allows...

The main aim of this paper is to investigate the role of the real field in the theory of Rings of Continuous Functions. In the process the real field has been replaced by an ordered field equipped with its order topology and the function rings of continuous functions on topological spaces are...

By the use of Perron-Frobenius theory, simple proofs are given of the Fundamental Theorem of Demography and of a theorem of Cushing and Yicang on the net reproductive rate occurring in matrix models of population dynamics. The latter result, which is closely related to the Stein-Rosenberg...

The CBEM(cell boundary element method) was proposed for the generalized Poisson type equation ∇⋅( ∇ ) = by the author in an earlier paper [2001]. In this paper local error analysis for the CBEM with various scales of rectangular meshes is provided for the harmonic equation, that is a...

We introduce the cell boundary element method(CBEM) for an elliptic PDE of the type:The PDE possesses no known fundamental solution for a general , therefore, we can not solve it by using a standard boundary integral equation method. But the PDE can be approximated by the Poisson equation...