Results 31 to 40 of about 240,621 (277)
Core forging and local limit theorems for the k-core of random graphs [PDF]
J. Comb. Theory B, 2017 We establish a multivariate local limit theorem for the order and size as well as several other parameters of the k-core of the Erdos-Renyi graph. The proof is based on a novel approach to the k-core problem that replaces the meticulous analysis of the ...
A. Coja-Oghlan +3 more
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Local limit theorems for suspended semiflows [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2017 We prove local limit theorems for a cocycle over a semiflow by establishing topological, mixing properties of the associated skew product semiflow. We also establish conditional rational weak mixing of certain skew product semiflows and order 2 rational ...
J. Aaronson, D. Terhesiu
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Conditioned local limit theorems for random walks defined on finite Markov chains [PDF]
Probability theory and related fields, 2017 Let (Xn)n⩾0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(X_n)_{n ...
Ion Grama +2 more
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Central limit theorems for local network statistics [PDF]
Biometrika, 2020 Subgraph counts, in particular the number of occurrences of small shapes such as triangles, characterize properties of random networks. As a result, they have seen wide use as network summary statistics. Subgraphs are typically counted globally, making
P. Maugis
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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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Anti-concentration of random variables from zero-free regions
Discrete Analysis, 2022 Anti-concentration of random variables from zero-free regions, Discrete Analysis 2022:13, 29 pp. In recent years there have been a number of breakthroughs concerning the probability that a random matrix is singular. There are several natural notions of "
Marcus Michelen, Julian Sahasrabudhe
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Local Limit Theorems for Sample Extremes
The Annals of Probability, 1981 Assuming von Mises type conditions, we can prove the density of the normalized maximum of i.i.d. random variables converges to the density of the appropriate extreme value distribution in the Lp metric, p≤∞ provided both F’ and the limit extreme value density are in the space Lp.
de Haan, L., Resnick, S. I.
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Local limit theorems and renewal theory with no moments [PDF]
, 2016 We study i.i.d. sums $\tau_k$ of nonnegative variables with index $0$: this means $\mathbf{P}(\tau_1=n) = \varphi(n) n^{-1}$, with $\varphi(\cdot)$ slowly varying, so that $\mathbf{E}(\tau_1^\varepsilon)=\infty$ for all $\varepsilon>0$.
K. S. Alexander, Q. Berger
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Modelling Complex Chemical Processes in Homogeneous Solutions: Automatic Numerical Simulation
Nonlinear Analysis, 2006 Two algorithms for the determination of the necessary limit of local error for the numerical solution of ordinary differential equation (ODE) systems describing homogeneous chemical and biochemical processes, and for the evaluation of their stiffness are
O. V. Klymenko, I. B. Svir
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Local limit theorems in some random models from number theory [PDF]
, 2015 We study the local limit theorem for weighted sums of Bernoulli variables. We show on examples that this is an important question in the general theory of the local limit theorem, and which turns up to be not well explored. The examples we consider arise
R. Giuliano, Michel J. G. Weber
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