Data fusion methods for the heterogeneity of treatment effect and confounding function. [PDF]
Yang S, Liu S, Zeng D, Wang X.
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An Approach to Fisher-Rao Metric for Infinite Dimensional Non-Parametric Information Geometry. [PDF]
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Stability analysis of the incompressible porous media equation and the Stokes transport system via energy structure. [PDF]
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Bayesian and non-bayesian approaches for estimating the Epanechnikov-Weibull distribution with applications in engineering and electronics data. [PDF]
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What Is a Pattern in Statistical Mechanics? Formalizing Structure and Patterns in One-Dimensional Spin Lattice Models with Computational Mechanics. [PDF]
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On the asymptotic regularity of nonexpansive mappings
Acta Mathematica Hungarica, 1986Given a normed vector space X, a self-mapping P of X is said to be asymptotically regular if for every point x of X we have \(\| P^{n+1}x-P^ nx\| \to 0\) as \(n\to \infty\). First, a new and simple proof is given to the theorem of S. Ishikawa, namely: Theorem B: Let D be a subset of a normed space X and \(T: X\to X\) be a nonexpansive mapping.
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Asymptotic regularity for p-Laplacian equation
Journal of Mathematical Physics, 2010This paper is devoted to proving some asymptotic regularity of the solutions of the p-Laplacian equation ut−div(|∇u|p−2∇u)+f(u)=g(x) (p∊(2,N)) considered on a bounded domain Ω⊂RN(N≥3). The nonlinear term f satisfies the polynomial growth condition of arbitrary order c1|u|q−k≤f(u)u≤c2|u|q+k, where q≥2 is arbitrary.
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Asymptotically Regular Mappings
1997We shall study in this chapter the existence of fixed points for a different class of mappings, called asymptotically regular mappings. The concept of asymptotically regular mappings is due to Browder and Petryshyn [BP]. Some fixed point theorems for this class of mappings can be found in [Gr1], [Gr2] and references therein.
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Sobolev regularity for quasilinear parabolic equations with asymptotically regular nonlinearity
Applied Mathematics Letters, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Regularity of the Asymptotic Variance
2012In this last chapter of Part II, we show that the asymptotic variance of the central limit theorem derived in Chap. 5 depends smoothly on the density of particles of the exclusion process. The smooth dependence of the diffusion coefficient on the density, illustrated here in a simpler context, is a crucial step in the proof of the hydrodynamic limit of
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