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Asymptotic equivalence of sequences and summability [PDF]
For a sequence-to-sequence transformation A, let RmAx=∑n≥m|(Ax)n| and μmAx=supn≥m|(Ax)n|. The purpose of this paper is to study the relationship between the asymptotic equivalence of two sequences (limnxn/yn=1) and the variations of asymptotic ...
Jinlu Li
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Asymptotically J_σ-Equivalence of Sequences of Sets
In thisstudy, we introduce the concepts of Wijsman asymptotically J-invariant equivalence (WLJσ) ,Wijsman asymptotically strongly p-invariant equivalence([WLVσ)]p) and Wijsman asymptotically J*-invariant equivalence(WLJ*σ).
Uğur Ulusu, Esra Gülle
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A New Type of Generalization on W—Asymptotically Jλ—Statistical Equivalence with the Number of α
In our paper, by using the concept of W−asymptotically J− statistical equivalence of order α which has been previously defined, we present the definitions of W−asymptotically Jλ−statistical equivalence of order α
Hafize Gumus
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Asymptotically Lacunary Statistical Equivalence of Double Sequences of Sets
The concepts of Wijsman asymptotically equivalence, Wijsman asymptotically statistically equivalence, Wijsman asymptotically lacunary equivalence and Wijsman asymptotically lacunary statistical equivalence for sequences of sets were studied by Ulusu and ...
Fatih Nuray
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Asymptotically unitary equivalence and asymptotically inner automorphisms [PDF]
Let $C$ be a unital AH-algebra and let $A$ be a unital separable simple $C^*$-algebra with tracial rank zero. Suppose that $\phi_1, \phi_2\colon \ C\to A$ are two unital monomorphisms. We show that there is a continuous path of unitaries $\{u_t\colon \ t\in [0, \infty)\}$ of $A$ such that $$ \lim_{t\to\infty}u_t^*\phi_1(a)u_t=\phi_2(a)\quad\hbox{\rm ...
Huaxin Lin
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Sound approximate and asymptotic probabilistic bisimulations for PCTL [PDF]
We tackle the problem of establishing the soundness of approximate bisimilarity with respect to PCTL and its relaxed semantics. To this purpose, we consider a notion of bisimilarity inspired by the one introduced by Desharnais, Laviolette, and Tracol ...
Massimo Bartoletti +2 more
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Asymptotic equivalence of symplectic capacities [PDF]
A long-standing conjecture states that all normalized symplectic capacities coincide on the class of convex subsets of \mathbb R^{2n} . In this note we focus on an asymptotic (in the dimension) version of this conjecture, and show that when ...
Gluskin, Efim, Ostrover, Yaron
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Soft photon theorem in the small negative cosmological constant limit
We study the effect of electromagnetic interactions on the classical soft theorems on an asymptotically AdS background in 4 spacetime dimensions, in the limit of a small cosmological constant or equivalently a large AdS radius l.
Nabamita Banerjee +2 more
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f-asymptotically lacunary ideal equivalence of double sequences
In this study, we present the notions of f-asymptotically I2 $\mathcal{I}_{2}$-equivalence, strongly f-asymptotically I2 $\mathcal{I}_{2}$-equivalence, f-asymptotically lacunary I2 $\mathcal{I}_{2}$-equivalence, and strongly f-asymptotically lacunary I2 $
Nimet Pancaroǧlu Akın
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Asymptotically I-Cesaro equivalence of sequences of sets
In this paper, we defined concepts of asymptotically $\mathcal{I}$-Cesaro equivalence and investigate the relationships between the concepts of asymptotically strongly $\mathcal{I}$-Cesaro equivalence, asymptotically strongly $\mathcal{I}$-lacunary ...
Erdinç Dundar, Uğur Ulusu
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