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These are things named after Siméon Denis Poisson (1781 – 1840), a French mathematician.


Physics

* ''Poisson’s Equations'' (thermodynamics) * ''Poisson’s Equation'' (rotational motion) * Schrödinger–Poisson equation * Vlasov–Poisson equation ;Hamiltonian mechanics *
Poisson bracket In mathematics and classical mechanics, the Poisson bracket is an important binary operation in Hamiltonian mechanics, playing a central role in Hamilton's equations of motion, which govern the time evolution of a Hamiltonian dynamical system. Th ...
;Electrostatics * Poisson equation ** Euler–Poisson–Darboux equation ** Poisson–Boltzmann equation ** Screened Poisson equation ;Optics * Poisson's spot ;Elasticity * Poisson's ratio


Mathematics

* Dirichlet–Poisson problem * Poisson algebra ** Poisson superalgebra *
Poisson boundary In mathematics, the Poisson boundary is a measure space associated to a random walk. It is an object designed to encode the asymptotic behaviour of the random walk, i.e. how trajectories diverge when the number of steps goes to infinity. Despite be ...
*
Poisson bracket In mathematics and classical mechanics, the Poisson bracket is an important binary operation in Hamiltonian mechanics, playing a central role in Hamilton's equations of motion, which govern the time evolution of a Hamiltonian dynamical system. Th ...
, see Hamiltonian mechanics header * Poisson games * Poisson manifold *
Poisson ring In mathematics, a Poisson ring is a commutative ring on which an anticommutative and distributive binary operation cdot,\cdot/math> satisfying the Jacobi identity and the product rule is defined. Such an operation is then known as the Poisson brac ...
**
Poisson supermanifold In differential geometry a Poisson supermanifold is a differential supermanifold M such that the supercommutative algebra of smooth functions over it (to clarify this: M is not a point set space and so, doesn't "really" exist, and really, this alg ...
* Poisson–Charlier polynomials * Poisson-Hopf algebra * Poisson–Mellin–Newton cycle * Poisson–Lie group ;Probability theory * Boolean-Poisson model * Poisson bootstrap * Poisson distribution ** Compound Poisson distribution ** Conditional Poisson distribution ** Conway–Maxwell–Poisson distribution **
Displaced Poisson distribution In statistics, the displaced Poisson, also known as the hyper-Poisson distribution, is a generalization of the Poisson distribution. The probability mass function is : P(X=n) = \begin e^\dfrac\cdot\dfrac, \quad n=0,1,2,\ldots &\text r\geq 0\\0p ...
**
Geometric Poisson distribution In probability theory and statistics, the geometric Poisson distribution (also called the Pólya–Aeppli distribution) is used for describing objects that come in clusters, where the number of clusters follows a Poisson distribution and the number ...
**
Poisson binomial distribution In probability theory and statistics, the Poisson binomial distribution is the discrete probability distribution of a sum of independent Bernoulli trials that are not necessarily identically distributed. The concept is named after Siméon Denis ...
**
Poisson clumping Poisson may refer to: People *Siméon Denis Poisson, French mathematician Places * Poissons, a commune of Haute-Marne, France * Poisson, Saône-et-Loire, a commune of Saône-et-Loire, France Other uses * Poisson (surname), a French surname * Poi ...
** Super-Poissonian distribution * Poisson process ** Compound Poisson process ** Mixed Poisson process * Poisson sampling * Poisson scatter theorem * Poisson random measure ** Poisson-type random measure * Poisson regression ** Fixed-effect Poisson model *
Poisson limit theorem In probability theory, the law of rare events or Poisson limit theorem states that the Poisson distribution may be used as an approximation to the binomial distribution, under certain conditions. The theorem was named after Siméon Denis Poisson ...
* Poisson zeros


Mathematical analysis

*''Poisson's (differential) equation'', ''Poisson (differential) equation''; see Electrostatics header **''Poisson solver'', numerical software designed to solve Poisson's differential equation **''Poisson differential operator'' ** Dirichlet–Poisson problem ** Discrete Poisson equation * Poisson kernel ** Poisson integral formula * Poisson–Jensen formula ;Fourier analysis * Poisson summation formula (Poisson resummation) ;Wavelet theory *
Poisson wavelet In mathematics, in functional analysis, several different wavelets are known by the name Poisson wavelet. In one context, the term "Poisson wavelet" is used to denote a family of wavelets labeled by the set of positive integers, the members of w ...


Computer science

* Poisson disk *
Poisson image editing Gradient domain image processing, also called Poisson image editing, is a type of digital image processing that operates on the differences between neighboring pixels, rather than on the pixel values directly. Mathematically, an image gradient repre ...


Other

* Advanced Poisson-Boltzmann Solver *
Poisson (crater) Poisson is a lunar impact crater that is located in the southern highlands of the Moon's near side. It was named after French mathematician Siméon Denis Poisson. It lies to the east of the crater Aliacensis and northwest of Gemma Frisius. To ...
on the Moon *Collège Denis PoissonCollège Denis Poisson
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References

{{DEFAULTSORT:List of things named after Simeon Denis Poisson Poisson