Operator Inequalities of Morrey Spaces Associated with Karamata Regular Variation [PDF]
Journal of Function Spaces, 2017 Karamata regular variation is a basic tool in stochastic process and the boundary blow-up problems for partial differential equations (PDEs). Morrey space is closely related to study of the regularity of solutions to elliptic PDEs.
Jiajia Wang +3 more
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From random to regular: Variation in the patterning of retinal mosaics. [PDF]
J Comp Neurol, 2020 Keeley PW, Eglen SJ, Reese BE.
europepmc +3 more sources
General inverse problems for regular variation [PDF]
, 2013 Regular variation of distributional tails is known to be preserved by various linear transformations of some random structures. An inverse problem for regular variation aims at understanding whether the regular variation of a transformed random object is
Damek, Ewa +3 more
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Singular solutions for divergence-form elliptic equations involving regular variation theory: Existence and classification [PDF]
, 2016 We generalise and sharpen several recent results in the literature regarding the existence and complete classification of the isolated singularities for a broad class of nonlinear elliptic equations of the form \begin{equation} -{\rm div}\,(\mathcal A(|x|
Chang, Ting-Ying, Cîrstea, Florica
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Multivariate Regular Variation on Cones: Application to Extreme Values, Hidden Regular Variation and Conditioned Limit Laws [PDF]
, 2007 Multivariate Regular Variation on Cones: Application to Extreme Values, Hidden Regular Variation and Conditioned Limit ...
Resnick, S.
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A Seneta's Conjecture and the Williamson Transform [PDF]
Sahand Communications in Mathematical Analysis, 2023 Considering slowly varying functions (SVF), %Seneta (2019) Seneta in 2019 conjectured the following implication, for $\alpha\geq1$,$$\int_0^x y^{\alpha-1}(1-F(y))dy\textrm{\ is SVF}\ \Rightarrow\ \int_{0}^x y^{\alpha}dF(y)\textrm{\ is SVF, as $x\to\infty$
Edward Omey, Meitner Cadena
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Asymptotic analysis of positive solutions of generalized Emden-Fowler differential equations in the framework of regular variation [PDF]
Open Mathematics, 2013 Jaroš Jaroslav +2 more
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On solutions of the distributional Bellman equation
Electronic Research Archive, 2023 In distributional reinforcement learning (RL), not only expected returns but the complete return distributions of a policy are taken into account. The return distribution for a fixed policy is given as the solution of an associated distributional Bellman
Julian Gerstenberg +2 more
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Cauchy's functional equation and extensions: Goldie's equation and inequality, the Go{\l}\k{a}b-Schinzel equation and Beurling's equation [PDF]
, 2014 The Cauchy functional equation is not only the most important single functional equation, it is also central to regular variation. Classical Karamata regular variation involves a functional equation and inequality due to Goldie; we study this, and its ...
Bingham, N. H., Ostaszewski, A. J.
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Truncated Moments for Heavy-Tailed and Related Distribution Classes
Mathematics, 2023 Suppose that ξ+ is the positive part of a random variable defined on the probability space (Ω,F,P) with the distribution function Fξ. When the moment Eξ+p of order p>0 is finite, then the truncated moment F¯ξ,p(x)=min1,Eξp1I{ξ>x}, defined for all x⩾0, is
Saulius Paukštys +2 more
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