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The Poisson Process, Compound Poisson Process, and Poisson Random Field
2021Poisson processes broadly refer to stochastic processes that are the result of counting occurrences of some random phenomena (points) in time or space such that occurrences of points in disjoint regions are statistically independent, and counts of two or more occurrences in an infinitesimally small region are negligible.
Rabi Bhattacharya, Edward C. Waymire
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Exact results on Poisson noise, Poisson flights, and Poisson fluctuations
Journal of Mathematical Physics, 2021We study non-Markovian stochastic differential equations with additive noise characterized by a Poisson point process with arbitrary pulse shapes and exponentially distributed intensities. Specifically, analytic results concerning transitions between different correlation regimes and the long-time asymptotic probability distribution functions are shown
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Formal Poisson Cohomology of Quadratic Poisson Structures
Letters in Mathematical Physics, 2002The author computes the formal Poisson cohomology of a quadratic Poisson structure on a vector space that can be transformed into diagonal form \(\sum_ ...
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Poisson point and Poisson processes
2017This chapter starts with a general description of Poisson point processes. These processes are defined from four natural axioms describing the spatial distribution of so-called Poisson points scattered homogeneously in a random manner across the d-dimensional Euclidean space.
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2016
In the present Master's thesis we study the reduction problem in the category of symplectic and Poisson manifolds. After a presentation of elementary theory of symplectic and Poisson manifolds we prove the Reduction Theorem in both case and we present some characteristic examples.
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In the present Master's thesis we study the reduction problem in the category of symplectic and Poisson manifolds. After a presentation of elementary theory of symplectic and Poisson manifolds we prove the Reduction Theorem in both case and we present some characteristic examples.
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2018
Poisson as a personal relation of Leibniz’s: The resource presents biographical information on a correspondent of Leibniz ...
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Poisson as a personal relation of Leibniz’s: The resource presents biographical information on a correspondent of Leibniz ...
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, 2008