<p style='text-indent:20px;'>We present a general approach to proving the existence of spectral gaps and asynchronous exponential growth for growth-fragmentation semigroups in moment spaces <inline-formula><tex-math id="M1">\begin{document}$ L^{1}( \mathbb{R} _{+};\ x^{\alpha }dx) $\end{document}</tex-math></inline-formula> id="M2">\begin{document}$ \left( 1+x\r...

Investigating the occurrence of defects in structures is currently a major issue significant interest. In this paper, we present experimental research findings on relationship between moments power spectrum and presence damage bridge beam structures. The study based analysing random oscillation signal structure under effect displacement loads. results demonstrate that value spectral moment sens...

Let $alpha$ be an automorphism of a ring $R$. The authors [On skewinverse Laurent-serieswise Armendariz rings, Comm. Algebra 40(1)(2012) 138-156] applied the concept of Armendariz rings to inverseskew Laurent series rings and introduced skew inverseLaurent-serieswise Armendariz rings. In this article, we study on aspecial type of these rings and introduce strongly Armendariz ringsof inverse ske...

Abstract We study global-local mixing for a family of accessible skew products with an exponentially base and non-compact fibers, preserving infinite measure. For dense set almost periodic global observables, we prove rapid mixing, observables vanishing at infinity, polynomial mixing. More generally, relate the speed to “low frequency behavior” spectral measure associated our observables. Our s...