In probability theory, an interacting particle system (IPS) is a stochastic process ( X ( t ) ) t ∈ R + {\displaystyle (X(t))_{t\in \mathbb {R} ^{+}}}...

Weakly interacting massive particles (WIMPs) are hypothetical particles that are one of the proposed candidates for dark matter. There exists no formal...

A particle system is a technique in game physics, motion graphics, and computer graphics that uses many minute sprites, 3D models, or other graphic objects...

theory, the asymmetric simple exclusion process (ASEP) is an interacting particle system introduced in 1970 by Frank Spitzer. Many articles have been...

touching each other Contact process (mathematics), a model of an interacting particle system Electrical contacts Sparśa, a concept in Buddhism that in Sanskrit/Indian...

observations. The term "particle filters" was first coined in 1996 by Pierre Del Moral about mean-field interacting particle methods used in fluid mechanics...

problems pertaining to the properties of microscopic systems made of many interacting particles. Microscopic here implies that quantum mechanics has to...

coupled solids, and cellular structures (see cellular Potts model, interacting particle systems, McKean–Vlasov processes, kinetic models of gases). Other examples...

hypothetical. Composite particles are bound states of elementary particles. Hadrons are defined as strongly interacting composite particles. Hadrons are either:...

{\displaystyle \mathbb {Z} ^{d}} , and a special case of an interacting particle system. More specifically, the dynamics of the basic contact process...

the mathematical theory of probability, the voter model is an interacting particle system introduced by Richard A. Holley and Thomas M. Liggett in 1975...

Poisson process in a different direction than that of CTMCs Interacting particle system, an example of a jump process Kolmogorov equations (continuous-time...

Poisson processes are also Markov processes. Mark V. Shaney Interacting particle system Stochastic cellular automata Øksendal, B. K. (Bernt Karsten)...

grand canonical ensemble. In statistical physics textbooks for interacting particle systems the three ensembles are assumed to be thermodynamically equivalent:...

situation when the state space has a (Cartesian-) product form. See interacting particle system and stochastic cellular automata (probabilistic cellular automata)...

needed] Covariance Kriging Variogram Resel Stochastic process Interacting particle system Stochastic cellular automata Vanmarcke, Erik (2010). Random Fields:...

between the highest and lowest occupied single-particle states in a quantum system of non-interacting fermions at absolute zero temperature. In a Fermi...

Mean-field particle methods are a broad class of interacting type Monte Carlo algorithms for simulating from a sequence of probability distributions satisfying...

procedure by which a system of interacting fermions in (1+1) dimensions can be transformed to a system of massless, non-interacting bosons. The method of...

a microscopically complicated system such as a solid behaves as if it contained different weakly interacting particles in vacuum. For example, as an electron...

(graphical model) Hammersley–Clifford theorem Hopfield network Interacting particle system Ising model Log-linear analysis Markov chain Markov logic network...

non-interacting Schrödinger equation (more clearly, Schrödinger-like equation) of a fictitious system (the "Kohn–Sham system") of non-interacting particles...

Deterministic system Dynamics of Markovian particles Entropy rate (for a stochastic process) Ergodic process Gillespie algorithm Interacting particle system Markov...

For simplicity, consider a system composed of two particles that are not interacting with each other. Suppose that one particle is in the state n1, and the...

cellular automata over Z k {\displaystyle \mathbb {Z} ^{k}} or interacting particle systems when some randomness is included), as well as GDSs with infinite...

interacting Markov chain Monte Carlo samplers is only related to the number of interacting Markov chain Monte Carlo samplers. These advanced particle...

Maxwell–Boltzmann statistics of classical gases (systems of non-interacting particles) In particle systems, many particles share the same space and regularly change...

Los Angeles. He worked in probability theory, specializing in interacting particle systems. Thomas Milton Liggett was born on March 29, 1944, in Danville...

distribution Exponential family Gibbs algorithm Gibbs sampling Interacting particle system Potential game Softmax Stochastic cellular automata "Gibbs measures"...

dynamical system. It is often analyzed within the frameworks of interacting particle systems and Markov chains, where it may be called a system of locally...