Results 41 to 50 of about 32,526 (310)
Bound for the maximal probability in the Littlewood-Offord problem
, 2016 The paper deals with studying a connection of the Littlewood--Offord problem with estimating the concentration functions of some symmetric infinitely divisible distributions.
Zaitsev, Andrei Yu.
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Infinite Divisibility and Max-Infinite Divisibility with Random Sample Size
, 2003 Continuing the study reported in Satheesh (2001),(math.PR/0304499 dated 01 May 2003) and Satheesh (2002)(math.PR/0305030 dated 02May 2003), here we study generalizations of infinitely divisible (ID) and max-infinitely divisible (MID) laws. We show that these generalizations appear as limits of random sums and random maximums respectively.
Satheesh, S., Sandhya, E.
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Advanced Engineering Materials, EarlyView.The work demonstrates that strategic wall‐thickness grading in diamond triply periodic minimal surface lattices enables precise tuning of deformation and failure behavior under compression. Different gradation patterns guide how and where the structure collapses, improving energy absorption or promoting controlled brittle failure.
Giovanni Rizza +3 more
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MathematicsInequalities are obtained which connect the probability tails and moments of functions of the nth partial sums of independent random variables taking values in a separable Banach space and those for the accompanying infinitely divisible laws.
Igor Borisov
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Journal of Educational Research in Mathematics, 2020 This study conducted historical and mathematical analyses of the composition of continuum and infinite division. Regarding the results of the historical analysis, first, it can be seen that mathematicians struggled with the problems related to Zeno’s ...
Seungju Baek, Younggi Choi
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Infinite Divisibility of Information [PDF]
IEEE Transactions on Information Theory, 2021 We study an information analogue of infinitely divisible probability distributions, where the i.i.d. sum is replaced by the joint distribution of an i.i.d. sequence. A random variable $X$ is called informationally infinitely divisible if, for any $n\ge1$, there exists an i.i.d.
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Light‐Controlled Reversible Coassembly of Hybrid Functional Nanostructures
Advanced Functional Materials, EarlyView.Light‐responsive hybrid nanostructures are formed by coassembling azobenzene‐ and PAH‐functionalized nanoparticles through reversible an tunable π interactions. The system enables tunable coupling between distinct components such as gold and magnetite or carbon nanotubes, producing switchable optical and magnetic properties under light and magnetic ...
Michal Sawczyk +5 more
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Journal of Probability and Statistics, 2023 The explosion of time series count data with diverse characteristics and features in recent years has led to a proliferation of new analysis models and methods.
Confort Kollie +2 more
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Non-Debye Relaxations: Two Types of Memories and Their Stieltjes Character
Mathematics, 2021 In this paper, we show that spectral functions relevant for commonly used models of the non-Debye relaxation are related to the Stieltjes functions supported on the positive semi-axis.
Katarzyna Górska, Andrzej Horzela
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Classical and free infinitely divisible distributions and random matrices
, 2005 We construct a random matrix model for the bijection \Psi between clas- sical and free infinitely divisible distributions: for every d\geq1, we associate in a quite natural way to each *-infinitely divisible distribution \mu a distribution P_d^{\mu} on ...
Benaych-Georges, Florent
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