Loomis Type Theorem for Bounded Sequences
This paper extends Loomis’s classical spectral criterion for almost periodic functions to bounded sequences in discrete settings. We first establish a discrete Kadets-type theorem for bounded sequences by regarding almost periodic functions as continuous
Yuan-Yuan Chen +2 more
doaj +1 more source
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
doaj +1 more source
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
openaire +3 more sources
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
doaj +1 more source
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
openaire +2 more sources
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
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
wiley +1 more source
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
doaj +1 more source
Optimal periodic output feedback control: a continuous-time approach [PDF]
: This paper addresses the problem of optimal static output feedback control of linear periodic systems. The proposed approach, which allows to deal with both stable and unstable open loop systems, relies on a continuous-time formulation of the control ...
VIGANO', LUCA +8 more
core +1 more source
Calpain small subunit homodimerization is robust and calcium‐independent
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
wiley +1 more source

