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- Random_walk abstract "A random walk is a mathematical formalization of a path that consists of a succession of random steps. For example, the path traced by a molecule as it travels in a liquid or a gas, the search path of a foraging animal, the price of a fluctuating stock and the financial status of a gambler can all be modeled as random walks, although they may not be truly random in reality. The term random walk was first introduced by Karl Pearson in 1905. Random walks have been used in many fields: ecology, economics, psychology, computer science, physics, chemistry, and biology. Random walks explain the observed behaviors of processes in these fields, and thus serve as a fundamental model for the recorded stochastic activity.Various different types of random walks are of interest. Often, random walks are assumed to be Markov chains or Markov processes, but other, more complicated walks are also of interest. Some random walks are on graphs, others on the line, in the plane, or in higher dimensions, while some random walks are on groups. Random walks also vary with regard to the time parameter. Often, the walk is in discrete time, and indexed by the natural numbers, as in . However, some walks take their steps at random times, and in that case the position is defined for the continuum of times . Specific cases or limits of random walks include the Lévy flight. Random walks are related to the diffusion models and are a fundamental topic in discussions of Markov processes. Several properties of random walks, including dispersal distributions, first-passage times and encounter rates, have been extensively studied.".
- Random_walk thumbnail Random_Walk_example.svg?width=300.
- Random_walk wikiPageExternalLink 0810.4113.
- Random_walk wikiPageExternalLink index.php?id=11&PPN=PPN235181684_0084&DMDID=DMDLOG_0016&L=1.
- Random_walk wikiPageExternalLink Shlomo%20Havlin%20books_d_r.php.
- Random_walk wikiPageExternalLink PolyasRandomWalkConstants.html.
- Random_walk wikiPageExternalLink book.html.
- Random_walk wikiPageExternalLink Random_walk_25000.svg.
- Random_walk wikiPageExternalLink Random_walk_2500_animated.svg.
- Random_walk wikiPageExternalLink random-walk.
- Random_walk wikiPageExternalLink ?id=137&month=04&year=2006&date=2006-04-29..
- Random_walk wikiPageExternalLink 1883.
- Random_walk wikiPageExternalLink www2006.org.
- Random_walk wikiPageID "235451".
- Random_walk wikiPageRevisionID "606250002".
- Random_walk date "April 2011".
- Random_walk hasPhotoCollection Random_walk.
- Random_walk reason "no sources in this entire section".
- Random_walk subject Category:Concepts_in_physics.
- Random_walk subject Category:Stochastic_processes.
- Random_walk subject Category:Variants_of_random_walks.
- Random_walk comment "A random walk is a mathematical formalization of a path that consists of a succession of random steps. For example, the path traced by a molecule as it travels in a liquid or a gas, the search path of a foraging animal, the price of a fluctuating stock and the financial status of a gambler can all be modeled as random walks, although they may not be truly random in reality. The term random walk was first introduced by Karl Pearson in 1905.".
- Random_walk label "Błądzenie losowe".
- Random_walk label "Camino aleatorio".
- Random_walk label "Marche aléatoire".
- Random_walk label "Passeggiata aleatoria".
- Random_walk label "Passeio aleatório".
- Random_walk label "Random Walk".
- Random_walk label "Random walk".
- Random_walk label "Toevalsbeweging".
- Random_walk label "Случайное блуждание".
- Random_walk label "سير عشوائي".
- Random_walk label "ランダムウォーク".
- Random_walk label "隨機漫步".
- Random_walk sameAs Náhodná_procházka.
- Random_walk sameAs Random_Walk.
- Random_walk sameAs Camino_aleatorio.
- Random_walk sameAs Marche_aléatoire.
- Random_walk sameAs Passeggiata_aleatoria.
- Random_walk sameAs ランダムウォーク.
- Random_walk sameAs 무작위_행보.
- Random_walk sameAs Toevalsbeweging.
- Random_walk sameAs Błądzenie_losowe.
- Random_walk sameAs Passeio_aleatório.
- Random_walk sameAs m.01j6by.
- Random_walk sameAs Q856741.
- Random_walk sameAs Q856741.
- Random_walk wasDerivedFrom Random_walk?oldid=606250002.
- Random_walk depiction Random_Walk_example.svg.
- Random_walk isPrimaryTopicOf Random_walk.