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Countable Strongly Annihilated Ideals in Commutative Rings
In this paper, we introduce and study the concept of countable strongly annihilated ideal in commutative rings, in particular in rings of continuous...
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The space of invariant measures for countable Markov shifts
It is well known that the space of invariant probability measures for transitive sub-shifts of finite type is a Poulsen simplex. In this article we...
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Relative entropy dimension for countable amenable group actions
We study the topological complexities of relative entropy zero extensions acted upon by countable-infinite amenable groups. First, for a given Følner...
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Solving Common Fixed Point Problems with a Countable Family of Operators
In this paper we study common fixed point problems. The first one is a general common fixed point problem in a metric space with a countable family...
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Some Results on Bundle Systems for a Countable Discrete Amenable Group Action
We consider the style number, independence number and entropy for a frame bundle dynamical system. The base system of which is a countable discrete...
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Countable Nonstandard Models: Following Skolem’s Approach
In 1934, Skolem gave a remarkable construction of a countable nonstandard model of arithmetic. His construction contains ideas of the ultrapower...
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Countable Markov Chains
This chapter is a self-contained mini course on Markov chains with a countable state space. The notions of recurrence and transience are introduced...
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The small index property for countable superatomic boolean algebras
It is shown that all the countable superatomic boolean algebras of finite rank have the small index property.
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Effective intrinsic ergodicity for countable state Markov shifts
For strongly positively recurrent countable state Markov shifts, we bound the distance between an invariant measure and the measure of maximal...
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Stationary local random countable sets over the Wiener noise
The times of Brownian local minima, maxima and their union are three distinct examples of local, stationary, dense, random countable sets associated...
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Mann–Dotson’s algorithm for a countable family of non-self strict pseudo-contractive map**s
The aim of this paper to present some weak and strong convergence results for countable family of non-self map**s. More precisely, we employ the...
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On the Invariant Tori of Quasilinear Countable Systems of Differential Equations Defined on Infinite–Dimensional Tori
We consider a countable quasilinear system of differential equations defined on an infinite-dimensional torus. The problem is to find sufficient...
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Differential calculus on the space of countable labelled graphs
The study of very large graphs is a prominent theme in modern-day mathematics. In this paper we develop a rigorous foundation for studying the space...
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The First Orlicz Cohomology of General Discrete Groups
We study the first Orlicz cohomology of general (not necessarily countable) discrete groups, based on the methods developed by Eastridge and other...
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Direct Limit of Shift-Invariant Measures on a Hilbert Space
AbstractA translationally invariant measure on a Hilbert space is constructed such that this measure is invariant with respect to a group of shifts...
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On some dual frames multipliers with at most countable spectra
A dual frames multiplier is an operator consisting of analysis, multiplication and synthesis processes, where the analysis and the synthesis are made...