Search results for "Stochastic geometry"

showing 6 items of 6 documents

A laplace type problem for three lattices with non-convex cell

2016

In this paper we consider three lattices with cells represented in Fig. 1, 3 and 5 and we determine the probability that a random segment of constant length intersects a side of lattice. c ⃝2016 All rights reserved.

0209 industrial biotechnologyAlgebra and Number TheoryLaplace transformHigh Energy Physics::Lattice020208 electrical & electronic engineeringMathematical analysisRegular polygon02 engineering and technologyGeometric probabilityRandom setsGeometric probability stochastic geometry random sets random convex sets and integral geometry020901 industrial engineering & automationRandom convex sets and integral geometrySettore MAT/05 - Analisi MatematicaLattice (order)0202 electrical engineering electronic engineering information engineeringStochastic geometrySettore MAT/03 - GeometriaAnalysisMathematics
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Performance analysis of user-centric SBS deployment with load balancing in heterogeneous cellular networks: A Thomas cluster process approach

2020

Abstract In conventional heterogeneous cellular networks (HCNets), the locations of user equipments (UEs) and base stations (BSs) are modeled randomly using two different homogeneous Poisson point processes (PPPs). However, this might not be a suitable assumption in case of UE distribution because UE density is not uniform everywhere in HCNets. Keeping in view the existence of nonuniform UEs, the small base stations (SBSs) are assumed to be deployed in the areas with high UE density, which results in correlation between UEs and BS locations. In this paper, we analyse the performance of HCNets with nonuniform UE deployment containing a union of clustered and uniform UE sets. The clustered UE…

Computer Networks and CommunicationsComputer scienceDistributed computing020206 networking & telecommunications02 engineering and technologyLoad balancing (computing)Poisson distributionsymbols.namesakeBase station0202 electrical engineering electronic engineering information engineeringsymbolsCellular network020201 artificial intelligence & image processingNetwork performanceStochastic geometryComputer Networks
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A Laplace type problem for a lattice with cell composed by two trapezius and a triangle

2014

In the previous papers, [1], [2], [3], [4], [5], [6], [7], [8], [9] and [10] the authors study some Laplace problem for different lattices. In this paper we determine the probability that a random segment of constant length intersects a side of lattice with cell represented in fig.1

Pure mathematicsLaplace transformSettore MAT/05 - Analisi MatematicaApplied MathematicsLattice (order)GeometryGeometric Probability stochastic geometry random sets random convex sets and integral geometryMathematicsApplied Mathematical Sciences
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Analysis of the railway network operations safety, with of different obstacles along the route, by the study of Buffon-Laplace type problems: the cas…

2016

In this paper we use an approach based on a Buffon-Laplace type problem for an irregular hexagonal lattice and obstacles to study some problems about analysis of the railway network operations safety in the presence of different obstacles on the route.

Random setsRandom convex sets and integral geometryLaplace transformSettore MAT/05 - Analisi MatematicaComputer scienceHexagonal crystal systemApplied MathematicsStochastic geometrySettore MAT/03 - GeometriaType (model theory)TopologyGeometric ProbabilityNetwork operations centerApplied Mathematical Sciences
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Deducing self-interaction in eye movement data using sequential spatial point processes

2016

Eye movement data are outputs of an analyser tracking the gaze when a person is inspecting a scene. These kind of data are of increasing importance in scientific research as well as in applications, e.g. in marketing and man-machine interface planning. Thus the new areas of application call for advanced analysis tools. Our research objective is to suggest statistical modelling of eye movement sequences using sequential spatial point processes, which decomposes the variation in data into structural components having interpretation. We consider three elements of an eye movement sequence: heterogeneity of the target space, contextuality between subsequent movements, and time-dependent behaviou…

Statistics and ProbabilitymallintaminenFOS: Computer and information sciencesrecurrenceComputer sciencestochastic geometrylikelihoodcoverageVariation (game tree)Management Monitoring Policy and Lawheterogeneous media01 natural sciences050105 experimental psychologyPoint processMethodology (stat.ME)010104 statistics & probabilitysilmänliikkeetStatistical inference0501 psychology and cognitive sciences0101 mathematicsComputers in Earth SciencesStatistics - Methodologytietojärjestelmätstokastiset prosessitta112self-interacting random walkbusiness.industry05 social sciencesEye movementPattern recognitionStatistical modelRandom walkkatseenseurantakatseArtificial intelligenceGeometric modelingbusinessStochastic geometry
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The Poisson Point Process

2020

Poisson point processes can be used as a cornerstone in the construction of very different stochastic objects such as, for example, infinitely divisible distributions, Markov processes with complex dynamics, objects of stochastic geometry and so forth.

symbols.namesakeCompound Poisson distributionComputer sciencePoisson point processCompound Poisson processsymbolsMarkov processStatistical physicsFractional Poisson processLévy processStochastic geometryPoint process
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