Results 51 to 60 of about 2,121 (306)
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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Equivalence of Infinitely Divisible Distributions
The Annals of Probability, 1975 If $F$ is an infinitely divisible distribution function without a Gaussian component whose Levy spectral measure $M$ is absolutely continuous and $M(\mathbb{R}^1\backslash\{0\}) = \infty$, then $F$ is shown to have an a.e. positive density over its support; this support of $F$ is always an interval of the form $(-\infty, \infty), (-\infty, a\rbrack$ or
Hudson, William N., Tucker, Howard G.
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Simulation of infinitely divisible random fields [PDF]
, 2009 Two methods to approximate infinitely divisible random fields are presented. The methods are based on approximating the kernel function in the spectral representation of such fields, leading to numerical integration of the respective integrals.
Scheffler, Hans-Peter +2 more
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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
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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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Association of infinitely divisible random vectors [PDF]
, 1995 We show that the Lévy measure of an associated infinitely divisible random vector in Rd may charge those quadrants of the space where the coordinates have different signs.
Samorodnitsky, Gennady
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Microstructure Evolution of a VMnFeCoNi High‐Entropy Alloy After Synthesis, Swaging, and Annealing
Advanced Engineering Materials, EarlyView.The synthesis and processing (rotary swaging and annealing) of the novel VMnFeCoNi alloy is investigated, alongside the estimation of the grain size effect on hardness. Analysis of a wide grain size range of recrystallized microstructures (12–210 µm) reveals a low annealing twin density.
Aditya Srinivasan Tirunilai +6 more
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Control of the transient subdiffusion exponent at short and long times
Physical Review Research, 2019 We consider a simple, physically and biologically motivated model of transient subdiffusion having different exponents in the mean squared displacement at short and long times. For this purpose, the sum of two independent stable processes (with different
Aleksander Stanislavsky +1 more
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Logarithmic Lévy process directed by Poisson subordinator
Modern Stochastics: Theory and Applications, 2019 Let $\{L(t),t\ge 0\}$ be a Lévy process with representative random variable $L(1)$ defined by the infinitely divisible logarithmic series distribution. We study here the transition probability and Lévy measure of this process.
Penka Mayster, Assen Tchorbadjieff
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