Three-dimensional slope stability based on the finite element limit equilibrium method
工程科学学报, 2022 A finite element limit equilibrium method was proposed based on finite element stress analysis combined with a limit equilibrium condition to analyze the slope stability.
Zhen-ning SU, Long-tan SHAO
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A spectral approach for quenched limit theorems for random expanding dynamical systems [PDF]
, 2017 We prove quenched versions of (i) a large deviations principle (LDP), (ii) a central limit theorem (CLT), and (iii) a local central limit theorem (LCLT) for non-autonomous dynamical systems. A key advance is the extension of the spectral method, commonly
Dragicevic, Davor +3 more
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The local limit theorem for complex valued sequences: the parabolic case
Comptes Rendus. MathématiqueWe give a complete expansion, at any accuracy order, for the iterated convolution of a complex valued integrable sequence in one space dimension. The remainders are estimated sharply with generalized Gaussian bounds.
Coulombel, Jean-François +1 more
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A local limit theorem for densities of the additive component of a finite Markov Additive Process [PDF]
, 2013 In this paper, we are concerned with centered Markov Additive Processes {(Xt,Yt)}t∈T where the driving Markov process {Xt}t∈T has a finite state space.
Loic Herv'e, J. Ledoux
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A local limit theorem assuming finite second moments via Stein’s method
Arab Journal of Basic and Applied SciencesLet [Formula: see text] be independent but not necessarily identically distributed integer-valued random variables and let [Formula: see text] Estimation of the point probabilities [Formula: see text] is a common problem that occurs in many applied ...
Graeme Auld, Kritsana Neammanee
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On strong and almost sure local limit theorems for a probabilistic model of the Dickman distribution [PDF]
, 2021 Régis de la Bretèche +1 more
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The almost sure local central limit theorem for products of partial sums under negative association
Journal of Inequalities and Applications, 2018 Let {Xn,n≥1} $\{X_{n}, n\geq1\}$ be a strictly stationary negatively associated sequence of positive random variables with EX1=μ>0 $\mathrm{E}X_{1}=\mu>0$ and Var(X1 ...
Yuanying Jiang, Qunying Wu
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Local limit theorems via Landau–Kolmogorov inequalities
Bernoulli, 2015 Published at http://dx.doi.org/10.3150/13-BEJ590 in the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)
Roellin, Adrian, Ross, Nathan
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Unstable Limit Cycles and Singular Attractors in a Two-Dimensional Memristor-Based Dynamic System
Entropy, 2019 This paper reports the finding of unstable limit cycles and singular attractors in a two-dimensional dynamical system consisting of an inductor and a bistable bi-local active memristor. Inspired by the idea of nested intervals theorem, a new programmable
Hui Chang +4 more
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Dynamics of an HIV model with cytotoxic T-lymphocyte memory
Advances in Difference Equations, 2020 We consider a four-dimensional HIV model that includes healthy cells, infected cells, primary cytotoxic T-lymphocyte response (CTLp), and secondary cytotoxic T-lymphocyte response (CTLe).
Chunhua Liu, Lei Kong
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