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Almost sure local limit theorems
Statistica Neerlandica, 2002 CHUNG ERDÖS (1951) are among the first to prove some form of an almost sure local limit theorem (cf. CSÁKI et al., 1993). Here we propose a formulation of such statements and discuss related problems.
Denker, Manfred, Koch, S.
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The central limit theorem for the Smoluchovski coagulation model [PDF]
, 2010 The general model of coagulation is considered. For basic classes of unbounded coagulation kernels the central limit theorem (CLT) is obtained for the fluctuations around the dynamic law of large numbers (LLN) described by the Smoluchovski equation.
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
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The height of random binary unlabelled trees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 This extended abstract is dedicated to the analysis of the height of non-plane unlabelled rooted binary trees. The height of such a tree chosen uniformly among those of size $n$ is proved to have a limiting theta distribution, both in a central and local
Nicolas Broutin, Philippe Flajolet
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The Annals of Probability, 1974 Conditions are given which imply that the partial sums of a sequence of independent integer-valued random variables, suitably normalized, converge in distribution to a stable law of exponent $\alpha, 0 < \alpha < 2$, and imply as well that a strong version of the corresponding local limit theorem holds.
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Local limit theorem for coefficients of modified Borwein’s algorithm, proved by the ratio method
Lietuvos Matematikos Rinkinys, 2019 The paper continues the research of the modified Borwein method for the evaluation of the Riemann zeta-function. It provides a different perspective on the derivation of the local limit theorem for coefficients of the method.
Igoris Belovas
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Local distributions of multiplicative functions
Lietuvos Matematikos Rinkinys, 1999 In the present paper the local distribution laws of values of multiplicative arithmetic functions g : G → R defined on arithmetical semigroups G and belonging to the class M(G) is considered.
Rimantas Skrabutėnas
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On multidimensional local limit theorem
Lithuanian Mathematical Journal, 1964 The abstracts (in two languages) can be found in the pdf file of the article. Original author name(s) and title in Russian and Lithuanian: А. К. Рауделюнас. О многомерной локальной предельной теореме A. Raudeliūnas.
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A pointwise ergodic theorem for Fuchsian groups [PDF]
, 2010 We use Series' Markovian coding for words in Fuchsian groups and the Bowen-Series coding of limit sets to prove an ergodic theorem for Cesaro averages of spherical averages in a Fuchsian ...
Bufetov, Alexander I. +3 more
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High‐Throughput Discovery of Quantum Frustrated Materials
Advanced Functional Materials, EarlyView.Physics‐guided discovery of frustrated kagome and triangular magnets. ABSTRACT Geometrical frustration provides a fertile platform for realizing exotic quantum phases such as spin liquids, yet, the predictive identification of frustrated magnets remains limited.
Byeong‐Hyeon Jeong +4 more
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Journal of Inequalities and Applications, 2019 The almost sure local central limit theorem is a general result which contains the almost sure global central limit theorem. Let {Xk,k≥1} $\{X_{k},k\geq 1\}$ be a strictly stationary negatively associated sequence of positive random variables.
Feng Xu, Binhui Wang, Yawen Hou
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