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Poisson Noether's Problem and Poisson rationality
Journal of Algebra, 2022Let \(G\subset \mathrm{GL}(h)\) be a complex reflection group. Then \(G\) acts by Poisson-algebra automorphisms on the coordinate ring \(\mathbb{C}[h^*\oplus h]\) endowed with the natural Poisson bracket (here \(h^*\) stands for the dual space of the finite dimensional complex vector space \(h\)).
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Poisson on the poisson distribution
Statistics & Probability Letters, 1982Abstract A translation of the totality of Poisson's own 1837 discussion of the Poisson distribution is presented, and its relation to earlier work of De Moivre is briefly noted.
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IEEE Transactions on Visualization and Computer Graphics, 2013
Harmonic functions are the critical points of a Dirichlet energy functional, the linear projections of conformal maps. They play an important role in computer graphics, particularly for gradient-domain image processing and shape-preserving geometric computation.
Xian-Ying, Li, Shi-Min, Hu
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Harmonic functions are the critical points of a Dirichlet energy functional, the linear projections of conformal maps. They play an important role in computer graphics, particularly for gradient-domain image processing and shape-preserving geometric computation.
Xian-Ying, Li, Shi-Min, Hu
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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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