Regularity and asymptotics of densities of inverse subordinators
Transactions of the London Mathematical Society, Volume 11, Issue 1, December 2024.Abstract In this article, densities (and their derivatives) of subordinators and inverse subordinators are considered. Under minor restrictions, generally milder than the existing in the literature, employing a useful modification of the saddle point method, we obtain the large asymptotic behaviour of these densities (and their derivatives) for a ...
Giacomo Ascione +2 more
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GENERAL CONTROL MODULO AND TAUBERIAN REMAINDER THEOREMS FOR (C, 1) SUMMABILITY
Mathematical Modelling and Analysis, 2013 We prove for the (C, 1) summability method several Tauberian remainder theorems using the general control modulo of the oscillatory behavior.
Meronen, Olga, Tammeraid, Ivar
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Géza Freud's work on Tauberian remainder theorems
Journal of Approximation Theory, 1986 This illuminating survey paper, dedicated to the memory of Géza Freud, states the Tauberian theorems of Tauber, Hardy and Littlewood; next Freud's Tauberian remainder theorem, and, as an essential tool for the proof, Freud's approximation theorem are given. Finally, more general Tauberian remainder theorems, due to the author, are discussed.
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A revisited proof of the Seneta-Heyde norming for branching random walks under optimal assumptions
, 2019 We introduce a set of tools which simplify and streamline the proofs of limit theorems concerning near-critical particles in branching random walks under optimal assumptions. We exemplify our method by giving another proof of the Seneta-Heyde norming for
Boutaud, Pierre, Maillard, Pascal
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Tauberian remainder theorems for iterations of methods of weighted means
, 2019 ###EgeUn###
Sezer, Sefa Anil, Canak, Ibrahim
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Local decay of $C_0$-semigroups with a possible singularity of logarithmic type at zero
, 2017 We prove decay rates for a vector-valued function $f$ of a non-negative real variable with bounded weak derivative, under rather general conditions on the Laplace transform $\hat{f}$.
Stahn, Reinhard
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Asymptotic analysis for personalized Web search [PDF]
, 2008 Personalized PageRank is used in Web search as an importance measure for Web documents. The goal of this paper is to characterize the tail behavior of the PageRank distribution in the Web and other complex networks characterized by power laws.
Litvak, N., Volkovich, Y.V.
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On Transient Queue-Size Distribution in a Model of WSN Node with Threshold-Type Power-Saving Algorithm. [PDF]
Sensors (Basel), 2022 Kempa WM, Kurzyk D.
europepmc +1 more source
Small deviations in p-variation for stable processes
, 2003 Let $\{Z_t, t\geq 0\}$ be a strictly stable process on $\R$ with index $\alpha\in (0,2]$. We prove that for every $p > \alpha$, there exists $\gamma = \gamma (\alpha, p)$ and $\k = \k (\alpha, p)\in (0, +\infty)$ such that $$\lim_{\ee\downarrow 0}\ee ...
Simon, T.
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Irreducible compositions and the first return to the origin of a random walk
, 2004 Let $n = b_1 + ... + b_k = b_1' + \cdot + b_k'$ be a pair of compositions of $n$ into $k$ positive parts. We say this pair is {\em irreducible} if there is no positive $j < k$ for which $b_1 + ... b_j = b_1' + ... b_j'$.
Bender, Edward A. +3 more
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