Results 51 to 60 of about 353,414 (194)
On the anti-commutator of two free random variables
Indiana University Mathematics Journal, 2023 Let $(κ_n(a))_{n\geq 1}$ denote the sequence of free cumulants of a random variable $a$ in a non-commutative probability space $(\mathcal{A},φ)$. Based on some considerations on bipartite graphs, we provide a formula to compute the cumulants $(κ_n(ab+ba))_{n\geq 1}$ in terms of $(κ_n(a))_{n\geq 1}$ and $(κ_n(b))_{n\geq 1}$, where $a$ and $b$ are freely
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EnergiesThe aim of this paper is to study the impact of the variability of inertia of interconnected electrical systems on transient stability. In the first part of the paper, after formulating the transient stability problem as a boundary value problem, we ...
Elio Chiodo +2 more
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International Journal of Mathematics and Mathematical Sciences, 2003 This paper addresses the two-machine flowshop scheduling problem with separate setup times to minimize makespan or total completion time (TCT). Setup times are relaxed to be random variables rather than deterministic as commonly used in the OR literature.
Ali Allahverdi +2 more
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Absence of phase transition in random language model
Physical Review Research, 2022 The random language model, proposed as a simple model of human languages, is defined by the averaged model of a probabilistic context-free grammar. This grammar expresses the process of sentence generation as a tree graph with nodes having symbols as ...
Kai Nakaishi, Koji Hukushima
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Royal Society Open ScienceWe explore an extension of the memoryless property for continuous random variables by using the concept of pseudo-sum. Subsequently, we demonstrate the practicality of this approach through two financial applications in which pseudo-sums characterize the
Peter Carr, Pasquale Cirillo
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Symmetries, variational principles, and quantum dynamics
Discrete Dynamics in Nature and Society, 2004 We describe the role of symmetries in formation of quantum dynamics. A quantum version of d'Alembert's principle is proposed to take into account the symmetry constrains more exact.
J. Manjavidze, A. Sissakian
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Probabilistic approaches and reliability design of power modules [PDF]
International Journal for Simulation and Multidisciplinary Design Optimization, 2008 The weak point for the standard power IGBT modules in terms of reliability is thermal fatigue in solder joints due to the thermal stress induced by constitutive materials with different coefficients of thermal expansion (CTE). So far, many researches are
Micol A. +4 more
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Some Identities Involving Derangement Polynomials and Numbers and Moments of Gamma Random Variables
Journal of Function Spaces, 2020 The problem of counting derangements was initiated by Pierre Rémond de Montmort in 1708. A derangement is a permutation that has no fixed points, and the derangement number Dn is the number of fixed point free permutations on an n element set ...
Lee-Chae Jang +3 more
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On the multiplication of free N -tuples of noncommutative random variables
American Journal of Mathematics, 1996 Let a 1 ,..., a n , b 1 ,..., b n be random variables in a noncommutative probability space, such that { a 1 ,..., a n } is free from { b 1 ,..., b n }. We show how the joint distribution of the n -tuple ( a 1 b 1 ,..., a n b n ) can be described in terms of the joint distributions of ( a 1 ,..., a n ) and ( b 1 ,..., b n ), by using the combinatorics
Nica, Alexandru, Speicher, Roland
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Forces in MechanicsThis study presents the development of the stochastic finite element method (SFEM) to investigate the random free vibrations of beams with three-dimensional (3D) random field of material properties.
Diem Dang Nguyen, Hien Duy Ta
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