Transformations of one dimensional integral

One Dimensional p-adic Integral Value Transformations

In this paper, a set of transformations is defined on to. Some basic and naïve mathematical structure of is introduced. The concept of discrete dynamical systems through IVT and some further research scope of IVTs are highlighted. and 4]. A class of discrete transformations on named as Integral Value Transformations (IVT), corresponding to each of those CA rules, is introduced in the formation ...

On One-Sided Ideals of Rings of Linear Transformations

Transformations of the One-Dimensional Cellular Automata Rule Space

We introduce the notion of double permutation in order to study particular classes of transformations of the one-dimensional cellular automata rule space. These classes of transformations are characterized according to different sets of metrical, language theoretic, and dynamical properties they preserve. Each set of transformations we propose induces an equivalence relation over the cellular a...

Convergence of Integral Functionals of One-dimensional Diffusions

In this paper we describe the pathwise behaviour of the integral functional ∫ t 0 f(Yu) du for any t ∈ [0, ζ], where ζ is (a possibly infinite) exit time of a one-dimensional diffusion process Y from its state space, f is a nonnegative Borel measurable function and the coefficients of the SDE solved by Y are only required to satisfy weak local integrability conditions. Two proofs of the determi...

Integral representations of one-dimensional projections for multivariate stable densities

Abstract We consider the numerical evaluation of one dimensional projections of general multivariate stable densities introduced by Abdul-Hamid and Nolan (1998). In their approach higher order derivatives of one dimensional densities are used, which seem to be cumbersome in practice. Furthermore there are some difficulties for even dimensions. In order to overcome these difficulties we obtain t...