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random-walk process

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  • Random walk — A random walk, sometimes denoted RW, is a mathematical formalization of a trajectory that consists of taking successive random steps. The results of random walk analysis have been applied to computer science, physics, ecology, economics and a… …   Wikipedia

  • random walk — 1. Statistics. the path taken by a point or quantity that moves in steps, where the direction of each step is determined randomly. 2. Physics. the tendency of particles in random motion to achieve a net displacement or to drift in a particular… …   Universalium

  • random walk — noun a stochastic process consisting of a sequence of changes each of whose characteristics (as magnitude or direction) is determined by chance • Hypernyms: ↑stochastic process …   Useful english dictionary

  • random walk — noun Date: 1905 a process (as Brownian motion or genetic drift) consisting of a sequence of steps (as movements or changes in gene frequency) each of whose characteristics (as magnitude and direction) is determined by chance …   New Collegiate Dictionary

  • Loop-erased random walk — In mathematics, loop erased random walk is a model for a random simple path with important applications in combinatorics and, in physics, quantum field theory. It is intimately connected to the uniform spanning tree, a model for a random tree.… …   Wikipedia

  • Biased random walk (biochemistry) — In cell biology, a biased random walk enables bacteria to search for food and flee from harm. Bacteria propel themselves with the aid of flagella in a process called chemotaxis, and a typical bacteria trajectory has many charactistics of a random …   Wikipedia

  • Quantum random walk — Quantum random walks are a mathematical model for quantum mechanical systems that correspond to classical random walks under the process of continuous measurement, and as a source of algorithms for quantum computing. They are distinguished from… …   Wikipedia

  • Wiener process — In mathematics, the Wiener process is a continuous time stochastic process named in honor of Norbert Wiener. It is often called Brownian motion, after Robert Brown. It is one of the best known Lévy processes (càdlàg stochastic processes with… …   Wikipedia

  • Continuous-time quantum walk — A Continuous time quantum walk (CTQW) is a walk on a given connected graph that is dictated by a time varying unitary matrix that relies on the Hamiltonian of the quantum system and the adjacency matrix. CTQW belongs to what is known as Quantum… …   Wikipedia

  • Stochastic process — A stochastic process, or sometimes random process, is the counterpart to a deterministic process (or deterministic system) in probability theory. Instead of dealing with only one possible reality of how the process might evolve under time (as is… …   Wikipedia

  • Ornstein–Uhlenbeck process — Not to be confused with Ornstein–Uhlenbeck operator. In mathematics, the Ornstein–Uhlenbeck process (named after Leonard Ornstein and George Eugene Uhlenbeck), is a stochastic process that, roughly speaking, describes the velocity of a massive… …   Wikipedia

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