Results 31 to 40 of about 2,787 (88)
Tauberian theorems for (N̄, p, q, w) summable triple sequences of fuzzy numbers
CQD Revista Eletrônica Paulista de MatemáticaIn this paper, we introduce the notion of weighted mean method (N̄, p, q, w) of triple sequences of fuzzy numbers and and show necessary and sufficient Tauberian conditions under which convergence in Pringsheim's sense of a triple sequence of fuzzy ...
Carlos Bernal Granados +2 more
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A tauberian theorem for the conformal bootstrap
, 2017 For expansions in one-dimensional conformal blocks, we provide a rigorous link between the asymptotics of the spectral density of exchanged primaries and the leading singularity in the crossed channel. Our result has a direct application to systems of SL(
Qiao, Jiaxin, Rychkov, Slava
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Numerical Computation of the Rosenblatt Distribution and Applications
Stat, Volume 14, Issue 4, December 2025.ABSTRACT The Rosenblatt distribution plays a key role in the limit theorems for non‐linear functionals of stationary Gaussian processes with long‐range dependence. We derive new expressions for the characteristic function of the Rosenblatt distribution.
Nikolai N. Leonenko, Andrey Pepelyshev
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Convergence Rates and Limit Theorems for the Dual Markov Branching Process
Journal of Probability and Statistics, Volume 2017, Issue 1, 2017., 2017 This paper studies aspects of the Siegmund dual of the Markov branching process. The principal results are optimal convergence rates of its transition function and limit theorems in the case that it is not positive recurrent. Additional discussion is given about specifications of the Markov branching process and its dual. The dualising Markov branching
Anthony G. Pakes +1 more
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MathematicsThe Fibonacci sequence has broad applications in mathematics, where its inherent patterns and properties are utilized to solve various problems. The sequence often emerges in areas involving growth patterns, series, and recursive relationships.
Ibrahim S. Ibrahim +1 more
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Euclidean algorithms are Gaussian over imaginary quadratic fields
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We prove that the distribution of the number of steps of the Euclidean algorithm of rationals in imaginary quadratic fields with denominators bounded by N$N$ is asymptotically Gaussian as N$N$ goes to infinity, extending a result by Baladi and Vallée for the real case.
Dohyeong Kim, Jungwon Lee, Seonhee Lim
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A Tauberian Theorem for Double Cesàro Summability Method
International Journal of Mathematics and Mathematical Sciences, Volume 2016, Issue 1, 2016., 2016 We have generalized Littlewood Tauberian theorems for (C, k, r) summability of double sequences by using oscillating behavior and de la Vallée‐Poussin mean. Further, the generalization of (C, r) summability from (C, k, r) summability is given as corollaries which were earlier established by the authors.
Bidu Bhusan Jena +3 more
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Simple Barban–Davenport–Halberstam type asymptotics for general sequences
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We prove two estimates for the Barban–Davenport–Halberstam type variance of a general complex sequence in arithmetic progressions. The proofs are elementary, and our estimates are capable of yielding an asymptotic for the variance when the sequence is sufficiently nice, and is either somewhat sparse or is sufficiently like the integers in its ...
Adam J. Harper
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Optimal Bounds for the Variance of Self‐Intersection Local Times
International Journal of Stochastic Analysis, Volume 2016, Issue 1, 2016., 2016 For a Zd‐valued random walk (Sn) n∈N0, let l(n, x) be its local time at the site x∈Zd. For α∈N, define the α‐fold self‐intersection local time as Ln(α)≔∑xl(n, x) α. Also let LnSRW(α) be the corresponding quantities for the simple random walk in Zd. Without imposing any moment conditions, we show that the variance of the self‐intersection local time of ...
George Deligiannidis +2 more
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Tauberian and Abelian theorems for long-range dependent random fields
, 2012 This paper surveys Abelian and Tauberian theorems for long-range dependent random fields. We describe a framework for asymptotic behaviour of covariance functions or variances of averaged functionals of random fields at infinity and spectral densities at
Leonenko, Nikolai, Olenko, Andriy
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