Nonhomogeneous Stochastic Geometry Analysis of Massive LEO Communication Constellations [PDF]
IEEE Transactions on Communications, 2021 Providing truly ubiquitous connectivity requires development of low Earth orbit (LEO) satellite Internet, whose theoretical study is lagging behind network-specific simulations.
N. Okati, T. Riihonen
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Stochastic Geometry Analysis of Spatial-Temporal Performance in Wireless Networks: A Tutorial [PDF]
IEEE Communications Surveys and Tutorials, 2021 The performance of wireless networks is fundamentally limited by the aggregate interference, which depends on the spatial distributions of the interferers, channel conditions, and user traffic patterns (or queueing dynamics).
Xiao Lu +4 more
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Performance Analysis of Satellite Communication System Under the Shadowed-Rician Fading: A Stochastic Geometry Approach [PDF]
IEEE Transactions on Communications, 2021 In this paper, we consider downlink low Earth orbit (LEO) satellite communication systems where multiple LEO satellites are uniformly distributed over a sphere at a certain altitude according to a homogeneous binomial point process (BPP).
D. Jung, J. Ryu, WooSub Byun, Junil Choi
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Stochastic Geometry Analysis of IRS-Assisted Downlink Cellular Networks [PDF]
IEEE Transactions on Communications, 2021 Using stochastic geometry tools, we develop a comprehensive framework to analyze the downlink performance of various types of users (e.g., users served by direct base station (BS) transmissions and indirect intelligent reflecting surface (IRS)-assisted ...
Taniya Shafique, H. Tabassum, E. Hossain
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Orbits in a stochastic Schwarzschild geometry [PDF]
Physical Review D, 2019 REVTeX 23 pages, 20 ...
Casadio, Roberto +2 more
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Stochastic Geometry-Based Analysis of LEO Satellite Communication Systems [PDF]
IEEE Communications Letters, 2020 This letter studies the performance of a low-earth-orbit (LEO) satellite communication system where the locations of the LEO satellites are modeled as a binomial point process (BPP) on a spherical surface.
Anna Talgat +2 more
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Hidden Geometry of Bidirectional Grid-Constrained Stochastic Processes
Journal of Probability and Statistics, 2021 Bidirectional Grid Constrained (BGC) stochastic processes (BGCSPs) are constrained Itô diffusions with the property that the further they drift away from the origin, the more the resistance to movement in that direction they undergo.
Aldo Taranto, Shahjahan Khan
doaj +1 more source
LIV effects on the quantum stochastic motion in an acoustic FRW-geometry
European Physical Journal C: Particles and Fields, 2022 It is well known in the literature that vacuum fluctuations can induce a random motion of particles which is sometimes called quantum Brownian motion or quantum stochastic motion.
M. A. Anacleto +5 more
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Eikonal equations and pathwise solutions to fully non-linear SPDEs [PDF]
, 2016 We study the existence and uniqueness of the stochastic viscosity solutions of fully nonlinear, possibly degenerate, second order stochastic pde with quadratic Hamiltonians associated to a Riemannian geometry.
Friz, Peter K. +3 more
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The Foundations of Stochastic Geometry [PDF]
The Annals of Probability, 1976 We show how to build models of random collections of geometrical objects: lines, circles, line segments, etc. This basic problem in stochastic geometry is solved using the theory of point processes on abstract spaces.
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