Results 21 to 30 of about 11,521 (168)
Limit Theorem for Spectra of Laplace Matrix of Random Graphs
Mathematics, 2023 We consider the limit of the empirical spectral distribution of Laplace matrices of generalized random graphs. Applying the Stieltjes transform method, we prove under general conditions that the limit spectral distribution of Laplace matrices converges ...
Alexander N. Tikhomirov
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Freezing limits for Calogero–Moser–Sutherland particle models
Studies in Applied Mathematics, Volume 151, Issue 4, Page 1230-1281, November 2023., 2023 Abstract One‐dimensional interacting particle models of Calogero–Moser–Sutherland type with N particles can be regarded as diffusion processes on suitable subsets of RN$\mathbb {R}^N$ like Weyl chambers and alcoves with second‐order differential operators as generators of the transition semigroups, where these operators are singular on the boundaries ...
Michael Voit
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The
IEEE Access, 2022 This study investigates a multi-server queueing-inventory system in a random environment. The system has an unlimited waiting space and an inventory capacity of $S$ units.
N. Anbazhagan +6 more
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Statistica Neerlandica, Volume 77, Issue 4, Page 429-443, November 2023., 2023 We propose a new class of goodness‐of‐fit tests for the logistic distribution based on a characterization related to the density approach in the context of Stein's method. This characterization‐based test is a first of its kind for the logistic distribution. The asymptotic null distribution of the test statistic is derived and it is shown that the test
James S. Allison +2 more
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Aspects of the screw function corresponding to the Riemann zeta‐function
Journal of the London Mathematical Society, Volume 108, Issue 4, Page 1448-1487, October 2023., 2023 Abstract We introduce a screw function corresponding to the Riemann zeta‐function and study its properties from various aspects. Typical results are several equivalent conditions for the Riemann hypothesis in terms of the screw function. One of them can be considered an analog of so‐called Weil's positivity or Li's criterion.
Masatoshi Suzuki
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Mathematics, 2020 The paper provides reliability analysis of a cold double redundant renewable system assuming that both life-time and repair time distributions are arbitrary. The proposed approach is based on the theory of decomposable semi-regenerative processes.
Vladimir Rykov +3 more
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Single–server queueing system with limited queue, random volume customers and unlimited sectorized memory buffer [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2022 In the present paper, we analyze the model of a single–server queueing system with limited number of waiting positions, random volume customers and unlimited sectorized memory buffer.
Marcin Ziółkowski, Oleg Tikhonenko
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Journal of the London Mathematical Society, Volume 108, Issue 1, Page 273-308, July 2023., 2023 Abstract We study the finite‐temperature deformation of the discrete Bessel point process. We show that its largest particle distribution satisfies a reduction of the 2D Toda equation, as well as a discrete version of the integro‐differential Painlevé II equation of Amir–Corwin–Quastel, and we compute initial conditions for the Poissonization parameter
Mattia Cafasso, Giulio Ruzza
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The M/G/1 queueing model with preemptive random priorities [PDF]
EAI Endorsed Transactions on Internet of Things, 2015 For the M/G/1 model, we look into a preemptive priority scheme in which the priority level is decided by a lottery. Such a scheme has no effect on the mean waiting time in the non-preemptive case (in comparison with the First Come First Served (FCFS ...
Moshe Haviv
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Characterization of Probability Distributions via Functional Equations of Power-Mixture Type
Mathematics, 2021 We study power-mixture type functional equations in terms of Laplace–Stieltjes transforms of probability distributions on the right half-line [0,∞).
Chin-Yuan Hu +2 more
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