The structure of a sofic shift space is investigated, and Krieger’s embedding theorem and Boyle’s factor theorem are generalized to a large class of sofic shifts.

We present a solution of the problem of multiplication of Schwartz distributions by embedding the space of distributions into a differential algebra of generalized functions, called in the paper "asymptotic function," similar to but different from J. F Colombeau’s algebras of new generalized functions.

We present some remarks about the embedding of spaces of Schwartz distributions into spaces of Colombeau generalized functions. Following ideas of M. Nedeljkov et al., we recall how a good choice of compactly supported mollifiers allows to perform globally the embedding of D′ (Ω) into G (Ω). We show that this embedding is equal to the one obtained with local and sheaf arguments by M. Grosser et...

An explicit embedding mentioned in this problem is possible and, moreover, the finitely generated group G can in fact be two-generator. This, of course, stresses the similarity of the constructed embedding with the embedding of [4] because the latter, too, is an embedding into a two-generator group. In the current paper, we suggest two mechanisms to build the embedding mentioned. The first argu...

In this paper, we propose a new method for estimating the number of embedding changes for non-adaptive ±K embedding in images. The method uses a high-pass FIR filter and then recovers an approximate message length using a Maximum Likelihood Estimator on those stego image segments where the filtered samples can be modeled using a stationary Generalized Gaussian random process. It is shown that f...

In order to address basic questions of importance to microrheology, we study the dynamics of a rigid sphere embedded in a model viscoelastic medium consisting of an elastic network permeated by a viscous fluid. We calculate the complete response of a single bead in this medium to an external force, and compare the result to the commonly-accepted, generalized Stokes-Einstein relation (GSER). We ...