We study the problem of the rigorous computation of the stationary measure of an IFS described by a stochastic mixture of two or more dynamical systems which are either all uniformly expanding on the interval, either all contractive. In the expanding case, the associated transfer operators satisfy a LasotaYorke inequality, and we compute rigorously the approximations in the L1 norm. The rigorou...

Given a discrete-time random dynamical system represented by cocycle of non-singular measurable maps, we may obtain information on quantities studying the Perron–Frobenius operators associated to maps. Of particular interest is second-largest Lyapunov exponent for operators, λ2, which can tell us about mixing rates and decay correlations in system. We prove generalized theorem cocycles bounded ...

Inspired to the work of Ma and Wu (Discrete Contin Dyn Syst 31:545–557, 2011) Climenhaga (Ergodic Theory 31(4):1163–1182, 2011), we introduce new notions topological pressure upper (lower) capacity a free semigroup action maps for finite potential functions by using Carathéodory–Pesin structure (C-P structure) with respect non-compact sets in this paper. Meanwhile, also give some properties the...

The study of fixed points on the maps fulfilling certain contraction requirements has several applications and been focus numerous research endeavors. On other hand, as an extension idea best approximation, proximity point (ƁƤƤ) emerges. approximation theorem ensures existence approximate solution; is considered for addressing problem in order to arrive at optimum solution. This paper introduce...

metabolic alkalosis is characterized by high hco3- as it is seen in chronic respiratory acidosis, but ph differentiates the two disorders. there is no characteristic symptom or sign. orthostatic hypotension may be encountered. weakness and hyporeflexia occur if serum k+ is markerdly low. tetany and neuromuscular irritability occur rarely. we report the results of retrospective data analysis of ...

A pyramid of n-dimensional generalized maps is a hierarchical data structure. It can be used, for instance, in order to represent an irregular pyramid of n-dimensional images. A pyramid of generalized maps can be built by successively removing and/or contracting cells of any dimension. In this paper, we define generalized orbits, which extend the classical notion of receptive fields. Generalize...

Girard described two translations of intuitionistic logic into linear logic, one where A ! B maps to (!A) ? B, and another where it maps to !(A ? B). We detail the action of these translations on terms, and show that the rst corresponds to a call-by-name calculus, while the second corresponds to call-by-value. We further show that if the target of the translation is taken to be an aane calculus...

Introduction: It was shown in a previous study, that MCPIP, a cilostamide derivative, increased atrial contraction force without changing contraction rate. To improve this property, two new derivatives of cilostamide were synthesized and their effects on PDE3 activity and isolated rat atria contraction were investigated. Methods: The inhibitory effect of each compound on PDE3 enzyme was dete...