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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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Poisson Numbers and Poisson Distributions in Subset Surprisology
Annals of Combinatorics, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dress, Andreas W. M. +3 more
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Computing in Science & Engineering, 2001
Scientists and engineers often use Poisson's probability distribution to characterize the statistics of rare events whose average number is small. Using it correctly is crucial if we are to validate claims of discovery of new phenomena, such as a new fundamental particle (few candidate collision events among millions), a remote galaxy (few photons in ...
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Scientists and engineers often use Poisson's probability distribution to characterize the statistics of rare events whose average number is small. Using it correctly is crucial if we are to validate claims of discovery of new phenomena, such as a new fundamental particle (few candidate collision events among millions), a remote galaxy (few photons in ...
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Reduction of generalized poisson and Nambu-Poisson manifolds
Reports on Mathematical Physics, 1998The Marsden-Ratiu geometrical reduction for Poisson manifolds is extended to Nambu-Poisson and generalized Poisson manifolds. If in addition a set of Hamiltonians on a Nambu-Poisson manifold is given, the corresponding Hamiltonian system is also reduced. Several applications are given.
Ibáñez, Raúl +3 more
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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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Dirac structures and poisson reductions on poisson groupoids
Reports on Mathematical Physics, 2004The author characterizes Dirac structures on Poissob actions in terms of their characteristic pairs. Using the characteristic pairs introduced by Liu, the author gives a characterization of Dirac structures and provides new proofs of the properties concerning pullback Dirac structures on the actions of Poisson groupoids.
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Properties of a chiral honeycomb with a poisson's ratio of — 1
International Journal of Mechanical Sciences, 1997R S Lakes
exaly