A Gaussian random field is a
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Random field — A random field is a generalization of a stochastic process such that the underlying parameter need no longer be a simple real, but can instead be a multidimensional vector space or even a manifold.At its most basic, discrete case, a random field… … Wikipedia
Gaussian free field — The Gaussian free field is a lattice subject studied in statistical mechanics.Let Omega be Re, mu Lebesgue measure and let P ( x , y ) be the transition kernel of a random walk on lattice. The Hamiltonian is then given by: H( varphi ) =… … Wikipedia
Large deviations of Gaussian random functions — A random function ndash; of either one variable (a random process), or two or more variables(a random field) ndash; is called Gaussian if every finite dimensional distribution is a multivariate normal distribution. Gaussian random fields on the… … Wikipedia
Markov random field — A Markov random field, Markov network or undirected graphical model is a set of variables having a Markov property described by an undirected graph. A Markov random field is similar to a Bayesian network in its representation of dependencies. It… … Wikipedia
Random matrix — In probability theory and mathematical physics, a random matrix is a matrix valued random variable. Many important properties of physical systems can be represented mathematically as matrix problems. For example, the thermal conductivity of a… … Wikipedia
Gaussian function — In mathematics, a Gaussian function (named after Carl Friedrich Gauss) is a function of the form::f(x) = a e^{ { (x b)^2 over 2 c^2 } }for some real constants a > 0, b , c > 0, and e ≈ 2.718281828 (Euler s number).The graph of a Gaussian is a… … Wikipedia
Polymer field theory — A polymer field theory within the framework of statistical mechanics is a statistical field theory, describing the statistical behavior of a neutral or charged polymer system within the field theoretic approach.It can be derived by transforming… … Wikipedia
Electromagnetic field solver — Electromagnetic field solvers (or sometimes just field solvers) are specialized programs that solve (a subset of) Maxwell s equations directly. They form a part of the field of electronic design automation, or EDA, and are commonly used in the… … Wikipedia
Point process — In statistics and probability theory, a point process is a type of random process for which any one realisation consists of a set of isolated points either in time or geographical space, or in even more general spaces. For example, the occurrence … Wikipedia
List of stochastic processes topics — In the mathematics of probability, a stochastic process can be thought of as a random function. In practical applications, the domain over which the function is defined is a time interval ( time series ) or a region of space ( random field… … Wikipedia
