Results 1 to 10 of about 26,927 (261)
Information Geometry of Nonlinear Stochastic Systems
Entropy, 2018 We elucidate the effect of different deterministic nonlinear forces on geometric structure of stochastic processes by investigating the transient relaxation of initial PDFs of a stochastic variable x under forces proportional to -xn (n=3,5,7) and ...
Rainer Hollerbach +2 more
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Stochastic Geometry to Generalize the Mondrian Process
SIAM Journal on Mathematics of Data Science, 2022 The stable under iterated tessellation (STIT) process is a stochastic process that produces a recursive partition of space with cut directions drawn independently from a distribution over the sphere. The case of random axis-aligned cuts is known as the Mondrian process.
O'Reilly, Eliza, Tran, Ngoc Mai
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HOW MANY LOBSTERS ARE IN THE SEA?
Image Analysis and Stereology, 2011 A lobster fishery must have a reasonable estimate of the number of lobsters within the fishery in order to regulate the annual harvest. Stereological sampling procedures are used to estimate the number of lobsters in a defined region of the sea.
Ernest Enns, Bruce Smith
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Information Geometry of Spatially Periodic Stochastic Systems
Entropy, 2019 We explore the effect of different spatially periodic, deterministic forces on the information geometry of stochastic processes. The three forces considered are f 0 = sin ( π x ) / π and f ± = sin ( π x ) / π
Rainer Hollerbach, Eun-jin Kim
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Dimensioning of 5G Networks by Using Stochastic Geometry
International Journal of Information and Communication Technology Research, 2021 In this paper, we propose an analytical model for dimensioning of Orthogonal Frequency Division Multiple Access (OFDMA) systems in 5G networks by considering Internet of Thing (IoT) application using stochastic geometry.
Siminfar Samakoush Galougah +1 more
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Stochastic quantization on Lorentzian manifolds
Journal of High Energy Physics, 2021 We embed Nelson’s theory of stochastic quantization in the Schwartz-Meyer second order geometry framework. The result is a non-perturbative theory of quantum mechanics on (pseudo-)Riemannian manifolds.
Folkert Kuipers
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Image Analysis and Stereology, 2023 The main goal of this paper is to propose a method for the 3D morphological characterization of compact aggregates using 2D image analysis. The problem at hand is the 3D morphometric characterization of latex nanoparticle aggregates.
Leo Theodon +2 more
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U-Statistics in Stochastic Geometry [PDF]
, 2016 This survey will appear as a chapter of the forthcoming book [19]. A U-statistic of order $k$ with kernel $f:\X^k \to \R^d$ over a Poisson process is defined in \cite{ReiSch11} as$$ \sum\_{x\_1, \dots , x\_k \in η^k\_{\neq}} f(x\_1, \dots, x\_k) $$ under appropriate integrability assumptions on $f$.
Lachièze-Rey, Raphaël +1 more
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Indonesian Journal of Science and Mathematics Education, 2023 Jamik Sumenep Mosque, a heritage site of the Sumenep Kingdom, was built to emphasize the acculturation of Chinese, Islamic, and Madurese cultures. This ethnomathematics research aims to reveal and explore the fractal geometry forms in the gateway of ...
Muhammad Zia Alghar, Marhayati Marhayati
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A tractable closed form approximation of the ergodic rate in Poisson cellular networks
EURASIP Journal on Wireless Communications and Networking, 2019 The employment of stochastic geometry for the analysis and design of ultra dense networks (UDNs) has provided significant insights into network densification.
Alexis I. Aravanis +4 more
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