Results 21 to 30 of about 45,297 (262)
A Note on Branching Random Walks on Finite Sets [PDF]
Journal of Applied Probability, 2005 We show that a branching random walk that is supercritical onis also supercritical, in a rather strong sense, when restricted to a large enough finite ball ofThis implies that the critical value of branching random walks on finite balls converges to the critical value of branching random walks onas the radius increases to infinity. Our main result also
Mountford, Thomas, Schinazi, Rinaldo B.
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The Hausdorff dimension and exact Hausdorff measure of random recursive sets with overlapping
International Journal of Mathematics and Mathematical Sciences, 2002 We weaken the open set condition and define a finite intersection property in the construction of the random recursive sets. We prove that this larger class of random sets are fractals in the sense of Taylor, and give conditions when these sets have ...
Hongwen Guo, Dihe Hu
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Multi-Sensor Space Debris Tracking for Space Situational Awareness With Labeled Random Finite Sets
IEEE Access, 2019 As a result of the dependence worldwide on satellite technology, it is now necessary to use advanced multi-target tracking algorithms for space debris tracking systems to maintain custody of space objects around the earth.
Baishen Wei, Brett D. Nener
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An overview of particle methods for random finite set models [PDF]
Information Fusion, 2016 50 pages including 6 figures in Information Fusion ...
Branko Ristic 0001 +2 more
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Robust Distributed Fusion With Labeled Random Finite Sets [PDF]
IEEE Transactions on Signal Processing, 2018 17pages, 23 ...
Suqi Li +5 more
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The Mean Minkowski Content of Homogeneous Random Fractals
Mathematics, 2020 Homogeneous random fractals form a probabilistic generalisation of self-similar sets with more dependencies than in random recursive constructions.
Martina Zähle
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Sensors, 2019 This paper presents a novel Track-Before-Detect (TBD) Labeled Multi-Bernoulli (LMB) filter tailored for industrial mobile platform safety applications.
Tharindu Rathnayake +4 more
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Random sets of finite perimeter [PDF]
Mathematische Nachrichten, 2014 An approach to modelling random sets with locally finite perimeter as random elements in the corresponding subspace ofL1functions is suggested. A Crofton formula for flat sections of the perimeter is shown. Finally, random processes of particles with finite perimeter are introduced and it is shown that their union sets are random sets with locally ...
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Fractal Dimension of a Random Invariant Set and Applications
Journal of Applied Mathematics, 2013 We prove an abstract result on random invariant sets of finite fractal dimension. Then this result is applied to a stochastic semilinear degenerate parabolic equation and an upper bound is obtained for the random attractors of fractal dimension.
Gang Wang, Yanbin Tang
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Probability on Finite Set and Real-Valued Random Variables [PDF]
Formalized Mathematics, 2009 Probability on Finite Set and Real-Valued Random Variables In the various branches of science, probability and randomness provide us with useful theoretical frameworks. The Formalized Mathematics has already published some articles concerning the probability: [23], [24], [25], and [30].
Hiroyuki Okazaki, Yasunari Shidama
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