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Limit theorems in free probability theory II
Open Mathematics, 2008 Chistyakov G, Götze F. Limit theorems in free probability theory II. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS. 2008;6(1):87-117.Based on an analytical approach to the definition of multiplicative free convolution on probability measures on the nonnegative
Chistyakov Gennadii, Götze Friedrich
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Central limit theorems for multicolor urns with dominated colors [PDF]
, 2009 An urn contains balls of d≥2 colors. At each time n≥1, a ball is drawn and then replaced together with a random number of balls of the same color. Let A n = diag (An,1,…,An,d) be the n-th reinforce matrix. Assuming that EAn,j=EAn,1 for all n and j, a few
L. Pratelli +8 more
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On limit theorems for random fields
Lietuvos Matematikos Rinkinys, 2009 A complete separable metric space of functions defined on the positive quadrant of the plane is constructed. The characteristic property of these functions is that at every point x there exist two lines intersecting at this point such that limits limy→x ...
Rimas Banys
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Generalized continuous-time random walks, subordination by hitting times, and fractional dynamics [PDF]
, 2009 Functional limit theorems for continuous-time random walks (CTRW) are found in the general case of dependent waiting times and jump sizes that are also position dependent.
Kolokoltsov, V. N. (Vasiliĭ Nikitich) +1 more
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Critical branching processes in a sparse random environment
Modern Stochastics: Theory and Applications, 2023 We introduce a branching process in a sparse random environment as an intermediate model between a Galton–Watson process and a branching process in a random environment.
Dariusz Buraczewski +3 more
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Mathematics, 2023 In this paper, the representability of the generalized Student’s distribution as uniform and normal-scale mixtures is considered. It is also shown that the generalized Burr and the Snedecor–Fisher distributions can be represented as the scale mixtures of
Victor Korolev, Alexander Zeifman
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Soft radiation from scattering amplitudes revisited
Journal of High Energy Physics, 2021 We apply the recently developed formalism by Kosower, Maybee and O’Connell (KMOC) [12] to analyse the soft electromagnetic and soft gravitational radiation emitted by particles without spin in D ≥ 4 dimensions.
A. Manu +3 more
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On the Dependence of the Limit Functions on the Random Parameters in Random Ergodic Theorems
Abstract and Applied Analysis, 2013 We study the structure of the ergodic limit functions determined in random ergodic theorems. When the r random parameters are shifted by the -shift transformation with , the major finding is that the (random) ergodic limit functions determined in random ...
Takeshi Yoshimoto
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Limit theorems for Floyd's triangle: a new approach to not a new problem
Lietuvos Matematikos Rinkinys, 2021 Floyd's triangle is often presented to computer science students as an exercise or example to illustrate the concepts of text formatting and loop constructs. The paper proposes to look at an object from a different angle and to examine limit theorems for
Igoris Belovas
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Random polytopes: Central limit theorems for intrinsic volumes [PDF]
, 2018 Short and transparent proofs of central limit theorems for intrinsic volumes of random polytopes in smooth convex bodies are presented. They combine different tools such as estimates for floating bodies with Stein’s method from probability theory.
Nicola Turchi +5 more
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