On T-Characterized Subgroups of Compact Abelian Groups
A sequence \(\{ u_n \}_{n\in \omega}\) in abstract additively-written Abelian group \(G\) is called a \(T\)-sequence if there is a Hausdorff group topology on \(G\) relative to which \(\lim_n u_n =0\).
Saak Gabriyelyan
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Rigorous results for aperiodic and almost periodic substitution sequences [PDF]
Recent studies of the effects of geometric fluctuations, associated with aperiodic exchange inter-actions, on the critical behavior of ferromagnetic Ising models on hierarchical lattices, were the motivation to investigate some properties of two-letter sequences generated by uniform substitutions.
Pinho, S. T. R., Lobão, T. C. Petit
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On almost sure asymptotic periodicity for scalar stochastic difference equations
We consider a perturbed linear stochastic difference equation 1 X ( n + 1 ) = a ( n ) X ( n ) + g ( n ) + σ ( n ) ξ ( n + 1 ) , n = 0 , 1 , … , X 0 ∈ R , $$ X(n+1)=a(n)X(n)+g(n)+\sigma(n)\xi(n+1), \quad n=0, 1, \dots, \qquad X_{0}\in\mathbb{R}, $$ with ...
Alexandra Rodkina, Eeva Rapoo
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Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics [PDF]
A set$R\subset \mathbb{N}$is calledrationalif it is well approximable by finite unions of arithmetic progressions, meaning that for every$\unicode[STIX]{x1D716}>0$there exists a set$B=\bigcup _{i=1}^{r}a_{i}\mathbb{N}+b_{i}$, where$a_{1},\ldots ,a_{r},b_{1},\ldots ,b_{r}\in \mathbb{N}$, such that$$\begin{eqnarray}\overline{d}(R\triangle B):=\limsup ...
Bergelson, V. +3 more
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The Set of Idempotents in the Weakly Almost Periodic Compactification of the Integers is not Closed [PDF]
This paper answers negatively the question of whether the sets of idempotents in the weakly almost periodic compacti?cations of (N; +) and (Z; +) are ...
Pym, J.S., Bordbar, Behzad
core
Periodic and almost periodic flows of periodic Ito equations [PDF]
summary:Under the uniform asymptotic stability of a finite dimensional Ito equation with periodic coefficients, the asymptotically almost periodicity of the $l^p$-bounded solution and the existence of a trajectory of an almost periodic flow defined on ...
Tudor, C.
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Pediatric Idiopathic Multicentric Castleman Disease Is Often Severe But Responsive to Siltuximab
ABSTRACT Background Idiopathic multicentric Castleman disease (iMCD) is a potentially fatal immunologic disorder marked by widespread lymphadenopathy and inflammation. Siltuximab, an interleukin‐6 (IL‐6) inhibitor, is the only FDA‐approved treatment for adult patients with iMCD.
Bridget Austin +17 more
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Attosecond photoelectron spectroscopy of helium doubly excited states
We describe a numerical method that simulates the interaction of the helium atom with sequences of femtosecond and attosecond light pulses. The method, which is based on the close-coupling expansion of the electronic configuration space in a B-spline ...
Luca Argenti, Eva Lindroth
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The human gut microbiome across the life course
Despite significant individual variation and continuous change throughout life, the human gut microbiome follows some life stage‐specific trends. This article provides a brief overview of how gut microbiome composition shifts across different phases of life. Created in BioRender. Özkurt, E. (2026) https://BioRender.com/8q4nrnc.
Alise J. Ponsero +4 more
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APPROXIMATION OF CONJUGATE PERIODIC FUNCTIONS BY THEIR THREE-HARMONIC POISSON INTEGRALS
Asymptotic equalities are obtained for the upper bounds of deviations of the three-harmonic Poisson integrals from functions conjugated to functions from the Hölder classes in the uniform metric.
У.З. Грабова
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