Rigorous results for aperiodic and almost periodic substitution sequences [PDF]
Brazilian Journal of Physics, 2000 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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Gowers norms for automatic sequences
Discrete Analysis, 2023 Gowers norms for automatic sequences, Discrete Analysis 2023:4, 62 pp. There are several situations in additive and extremal combinatorics where it is useful to decompose an object $X$ into a "structured" part $S(X)$ and a "quasirandom" part $Q(X)$.
Jakub Byszewski +2 more
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Global Analysis of Almost Periodic Solution of a Discrete Multispecies Mutualism System
Journal of Applied Mathematics, 2014 This paper discusses a discrete multispecies Lotka-Volterra mutualism system. We first obtain the permanence of the system. Assuming that the coefficients in the system are almost periodic sequences, we obtain the sufficient conditions for the existence ...
Hui Zhang +3 more
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Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics [PDF]
Ergodic Theory and Dynamical Systems, 2018 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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Further properties of Stepanov--Orlicz almost periodic functions [PDF]
, 2020 summary:We revisit the concept of Stepanov--Orlicz almost periodic functions introduced by Hillmann in terms of Bochner transform. Some structural properties of these functions are investigated.
Boulahia, Fatiha +2 more
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Pediatric Idiopathic Multicentric Castleman Disease Is Often Severe But Responsive to Siltuximab
Pediatric Blood &Cancer, EarlyView.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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Almost Periodic Solutions of Differential Equations with Generalized Piecewise Constant Delay
MathematicsIn this paper, we investigate differential equations with generalized piecewise constant delay, DEGPCD in short, and establish the existence and stability of a unique almost periodic solution that is exponentially stable.
Kuo-Shou Chiu
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The Set of Idempotents in the Weakly Almost Periodic Compactification of the Integers is not Closed [PDF]
, 2000 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
Calpain small subunit homodimerization is robust and calcium‐independent
FEBS Letters, EarlyView.Calpains dimerize via penta‐EF‐hand (PEF) domains. Using single‐molecule force spectroscopy, we measured the strength and kinetics of PEF–PEF homodimer binding. The interaction is robust, shows a transient conformational step before dissociation, and remains largely insensitive to Ca2+.
Nesha May O. Andoy +4 more
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Approximation of almost periodic functions by periodic ones [PDF]
, 1998 summary:It is not the purpose of this paper to construct approximations but to establish a class of almost periodic functions which can be approximated, with an arbitrarily prescribed accuracy, by continuous periodic functions uniformly on ${\mathbb R} =
Fischer, Alexander
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