See Markov process on Wiktionary
{
"etymology_text": "Named after Russian mathematician Andrey Markov (Андре́й Андре́евич Ма́рков) (1856—1922), who researched the processes.",
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"name": "Probability theory",
"orig": "en:Probability theory",
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"derived": [
{
"word": "Markov renewal process"
},
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"word": "semi-Markov process"
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"ref": "2007, N. G. Van Kampen, Stochastic Processes in Physics and Chemistry, 3rd edition, page 81:",
"text": "It has been remarked in 1 that a Markov process with time reversal is again a Markov process.",
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"ref": "2009, Yuri Kifer, “Large Deviations and Adiabatic Transitions for Dynamical Systems and Markov Processes in Fully Coupled Averaging”, in Memoirs of the American Mathematical Society, number 944, page vii:",
"text": "The second part is written for probabilists and it studies the case where fast motions are certain Markov processes such as random evolutions and, in particular, diffusions.",
"type": "quote"
},
{
"text": "2013, M. G. Shur, Markov Process, entry in Michiel Hazewinkel (editor), Encyclopaedia of Mathematics, Volume 6, page 102,\nIn the theory of Markov processes most attention is given to homogeneous (in time) processes."
}
],
"glosses": [
"Any stochastic process for which the conditional probability distribution of future states depends only on the current state (and not on past states)."
],
"hyponyms": [
{
"word": "Markov chain"
}
],
"id": "en-Markov_process-en-noun-B2mDiKmD",
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"probability theory"
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"stochastic process",
"stochastic process"
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"conditional probability distribution",
"conditional probability distribution"
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],
"raw_glosses": [
"(probability theory) Any stochastic process for which the conditional probability distribution of future states depends only on the current state (and not on past states)."
],
"related": [
{
"word": "Markovian"
},
{
"word": "Markov model"
},
{
"word": "Markov property"
},
{
"word": "memoryless"
},
{
"word": "recurrence time"
}
],
"topics": [
"mathematics",
"probability-theory",
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"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "Mǎěrkěfū guòchéng",
"sense": "stochastic process",
"word": "馬爾可夫過程 /马尔可夫过程"
},
{
"code": "cs",
"lang": "Czech",
"sense": "stochastic process",
"tags": [
"masculine"
],
"word": "Markovův proces"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "stochastic process",
"word": "Markovin prosessi"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "stochastic process",
"word": "Markov-prosessi"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "stochastic process",
"tags": [
"neuter"
],
"word": "Markov-ferli"
},
{
"code": "it",
"lang": "Italian",
"sense": "stochastic process",
"tags": [
"masculine"
],
"word": "processo markoviano"
},
{
"code": "it",
"lang": "Italian",
"sense": "stochastic process",
"tags": [
"masculine"
],
"word": "processo di Markov"
},
{
"code": "ru",
"lang": "Russian",
"roman": "markovskíj procéss",
"sense": "stochastic process",
"tags": [
"masculine"
],
"word": "марковски́й проце́сс"
}
],
"wikipedia": [
"Andrey Markov",
"Markov process"
]
}
],
"word": "Markov process"
}
{
"derived": [
{
"word": "Markov renewal process"
},
{
"word": "semi-Markov process"
}
],
"etymology_text": "Named after Russian mathematician Andrey Markov (Андре́й Андре́евич Ма́рков) (1856—1922), who researched the processes.",
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"pos": "noun",
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"word": "memoryless"
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"ref": "2007, N. G. Van Kampen, Stochastic Processes in Physics and Chemistry, 3rd edition, page 81:",
"text": "It has been remarked in 1 that a Markov process with time reversal is again a Markov process.",
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"ref": "2009, Yuri Kifer, “Large Deviations and Adiabatic Transitions for Dynamical Systems and Markov Processes in Fully Coupled Averaging”, in Memoirs of the American Mathematical Society, number 944, page vii:",
"text": "The second part is written for probabilists and it studies the case where fast motions are certain Markov processes such as random evolutions and, in particular, diffusions.",
"type": "quote"
},
{
"text": "2013, M. G. Shur, Markov Process, entry in Michiel Hazewinkel (editor), Encyclopaedia of Mathematics, Volume 6, page 102,\nIn the theory of Markov processes most attention is given to homogeneous (in time) processes."
}
],
"glosses": [
"Any stochastic process for which the conditional probability distribution of future states depends only on the current state (and not on past states)."
],
"links": [
[
"probability theory",
"probability theory"
],
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"stochastic process",
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"conditional probability distribution",
"conditional probability distribution"
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"raw_glosses": [
"(probability theory) Any stochastic process for which the conditional probability distribution of future states depends only on the current state (and not on past states)."
],
"topics": [
"mathematics",
"probability-theory",
"sciences"
],
"wikipedia": [
"Andrey Markov",
"Markov process"
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"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "Mǎěrkěfū guòchéng",
"sense": "stochastic process",
"word": "馬爾可夫過程 /马尔可夫过程"
},
{
"code": "cs",
"lang": "Czech",
"sense": "stochastic process",
"tags": [
"masculine"
],
"word": "Markovův proces"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "stochastic process",
"word": "Markovin prosessi"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "stochastic process",
"word": "Markov-prosessi"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "stochastic process",
"tags": [
"neuter"
],
"word": "Markov-ferli"
},
{
"code": "it",
"lang": "Italian",
"sense": "stochastic process",
"tags": [
"masculine"
],
"word": "processo markoviano"
},
{
"code": "it",
"lang": "Italian",
"sense": "stochastic process",
"tags": [
"masculine"
],
"word": "processo di Markov"
},
{
"code": "ru",
"lang": "Russian",
"roman": "markovskíj procéss",
"sense": "stochastic process",
"tags": [
"masculine"
],
"word": "марковски́й проце́сс"
}
],
"word": "Markov process"
}
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-06-01 from the enwiktionary dump dated 2025-05-20 using wiktextract (3dadd05 and f1c2b61). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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