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On the macroscopic elastic moduli of nanoporous materials with surface tensile and bending rigidity [PDF]
Scientific ReportsThis study develops a theoretical framework to evaluate the equivalent bulk and shear moduli of nanoporous materials, incorporating nanoscale surface effects through the Steigmann–Ogden surface mechanics model. By decomposing the spatial gradient into in-
Chenyi Zheng +7 more
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Advances on a construction related to the non-abelian tensor square of a group [PDF]
International Journal of Group Theory, 2023 This is a survey on a group construction in connection with the non-abelian tensor square of groups. We report on the developments obtained in the last decade emphasizing the results from a commutator point of view.
Raimundo Bastos, Carmine Monetta
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Boundedly finite conjugacy classes of tensors [PDF]
International Journal of Group Theory, 2021 Let $n$ be a positive integer and let $G$ be a group. We denote by $\nu(G)$ a certain extension of the non-abelian tensor square $G \otimes G$ by $G \times G$. Set $T_{\otimes}(G) = \{g \otimes h \mid g,h \in G\}$.
Raimundo Bastos, Carmine Monetta
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Galois coverings of one-sided bimodule problems
Pracì Mìžnarodnogo Geometričnogo Centru, 2021 Applying geometric methods of 2-dimensional cell complex theory, we construct a Galois covering of a bimodule problem satisfying some structure, triangularity and finiteness conditions in order to describe the objects of finite representation type.
Vyacheslav Babych, Nataliya Golovashchuk
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Steklov problem for a linear ordinary fractional delay differential equation with the Riemann-Liouville derivative [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This paper studies a nonlocal boundary value problem with Steklov’s conditions of the first type for a linear ordinary delay differential equation of a fractional order with constant coefficients.
M.G. Mazhgikhova
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A note on randomly stopped sums with zero mean increments
Modern Stochastics: Theory and Applications, 2023 In this paper, the asmptotics is considered for the distribution tail of a randomly stopped sum ${S_{\nu }}={X_{1}}+\cdots +{X_{\nu }}$ of independent identically distributed consistently varying random variables with zero mean, where ν is a counting ...
Remigijus Leipus, Jonas Šiaulys
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Maximal Existential and Universal Width
Scientific Annals of Computer Science, 2023 The tree width of an alternating finite automaton (AFA) measures the parallelism in all computations of the AFA on a given input. The maximal existential (respectively, universal) width of an AFA A on string w measures the maximal number of ...
Casey Keeler, Kai Salomaa
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Some remarks on the ergodic theorem for $U$-statistics
Comptes Rendus. Mathématique, 2023 In this note, we investigate the convergence of a $U$-statistic of order two having stationary ergodic data. We will find sufficient conditions for the almost sure and $L^1$ convergence and present some counter-examples showing that the $U$-statistic ...
Dehling, Herold +2 more
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Tilting preserves finite global dimension
Comptes Rendus. Mathématique, 2020 Given a tilting object of the derived category of an abelian category of finite global dimension, we give (under suitable finiteness conditions) a bound for the global dimension of its endomorphism ring.
Keller, Bernhard, Krause, Henning
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New classes of infinite groups [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2008 In this article, we consider some new classes of groups, namely, Mp-groups, T0-groups,Ø-groups,Ø0-groups, groups with finitely embedded involution, which were appeared at the end of twenties century.
V.I. Senashov, V.P. Shunkov
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