Results 1 to 10 of about 1,911,572 (273)
Noncommutative geometry and stochastic processes [PDF]
, 2017 The recent analysis on noncommutative geometry, showing quantization of the volume for the Riemannian manifold entering the geometry, can support a view of quantum mechanics as arising by a stochastic process on it. A class of stochastic processes can be
A Dimakis +13 more
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Stochastic axial compressor variable geometry schedule optimisation [PDF]
, 2011 The design of axial compressors is dictated by the maximisation of flow efficiency at on design conditions whereas at part speed the requirement for operation stability prevails.
Arias, M. +3 more
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Local central limit theorems in stochastic geometry [PDF]
, 2011 We give a general local central limit theorem for the sum of two independent random variables, one of which satisfies a central limit theorem while the other satisfies a local central limit theorem with the same order variance.
Penrose, Mathew D., Peres, Yuval
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U-statistics in stochastic geometry [PDF]
, 2015 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 \eta^k\_{\neq}} f(x\_1, \dots, x\_k ...
Lachèze-Rey, Raphaël +1 more
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Information Geometry of Nonlinear Stochastic Systems [PDF]
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
doaj +6 more sources
A Stochastic Geometry Approach to EMF Exposure Modeling
IEEE Access, 2021 Downlink exposure to electromagnetic fields due to cellular base stations in urban environments is studied using the stochastic geometry framework. A two-dimensional Poisson Point Process is assumed for the base station distribution.
Quentin Gontier +6 more
doaj +2 more sources
Stochastic geometry and topology of non-Gaussian fields. [PDF]
Proc Natl Acad Sci U S A, 2012 Gaussian random fields pervade all areas of science. However, it is often the departures from Gaussianity that carry the crucial signature of the nonlinear mechanisms at the heart of diverse phenomena, ranging from structure formation in condensed matter
Beuman TH, Turner AM, Vitelli V.
europepmc +3 more sources
Stochastic Geometry to Generalize the Mondrian Process [PDF]
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
openaire +5 more sources
Stochastic Geometry and Its Applications.
Biometrics, 1987 Mathematical Foundation. Point Processes I--The Poisson Point Process. Random Closed Sets I--The Boolean Model. Point Processes II--General Theory. Point Processes III--Construction of Models. Random Closed Sets II--The General Case.
Wilfrid S. Kendall +2 more
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Stochastic Geometry Modeling of Cellular Networks: Analysis, Simulation and Experimental Validation [PDF]
, 2015 Due to the increasing heterogeneity and deployment density of emerging cellular networks, new flexible and scalable approaches for their modeling, simulation, analysis and optimization are needed.
Di Renzo, Marco, Lu, Wei
core +4 more sources