Search results for "Poisson proce"

showing 4 items of 24 documents

Hysteretic Systems Subjected to Delta Correlated Input

1994

The paper deals with the evaluation of the probabilistic response of a single degree of freedom elastic-perfectly plastic system subjected to a delta correlated input process. The probabilistic characterisation of the response is here obtained by considering the accumulated plastic deformations as a compound homogeneous Poisson process independent of the external input. In this case the former can be considered as an external noise acting on the linear system. A closed form solution is also obtained and the analytic expression is compared with the customary Monte-Carlo method.

symbols.namesakeAnalytical expressionsMathematical analysisLinear systemsymbolsProbabilistic logicProcess (computing)Poisson processExternal noiseClosed-form expressionSingle degree of freedomMathematics
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The Homogeneous Poisson Point Process

2008

symbols.namesakeComplete spatial randomnessUniqueness theorem for Poisson's equationCompound Poisson processMathematical analysisDiscrete Poisson equationHomogeneous poisson point processsymbolsFractional Poisson processMathematics
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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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Regularity of a Degenerated Convolution Semi-Group Without to Use the Poisson Process

2011

We translate in semi-group theory our regularity result for a degenerated convolution semi-group got by the Malliavin Calculus of Bismut type for Poisson processes.

symbols.namesakePure mathematicsMathematics::ProbabilityGroup (mathematics)symbolsPoisson processType (model theory)Poisson distributionMalliavin calculusMathematicsConvolution
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