"Markov process" meaning in English

{
  "etymology_text": "Named after Russian mathematician Andrey Markov (Андре́й Андре́евич Ма́рков) (1856—1922), who researched the processes.",
  "forms": [
    {
      "form": "Markov processes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Markov process (plural Markov processes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Probability theory",
          "orig": "en:Probability theory",
          "parents": [
            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "Markov renewal process"
        },
        {
          "word": "semi-Markov process"
        }
      ],
      "examples": [
        {
          "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.",
          "type": "quotation"
        },
        {
          "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": "quotation"
        },
        {
          "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",
      "links": [
        [
          "probability theory",
          "probability theory"
        ],
        [
          "stochastic process",
          "stochastic process"
        ],
        [
          "conditional probability distribution",
          "conditional probability distribution"
        ]
      ],
      "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"
        }
      ],
      "topics": [
        "mathematics",
        "probability-theory",
        "sciences"
      ],
      "translations": [
        {
          "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.",
  "forms": [
    {
      "form": "Markov processes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Markov process (plural Markov processes)",
      "name": "en-noun"
    }
  ],
  "hyponyms": [
    {
      "word": "Markov chain"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Markovian"
    },
    {
      "word": "Markov model"
    },
    {
      "word": "Markov property"
    },
    {
      "word": "memoryless"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "English terms with quotations",
        "en:Probability theory"
      ],
      "examples": [
        {
          "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.",
          "type": "quotation"
        },
        {
          "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": "quotation"
        },
        {
          "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"
        ],
        [
          "stochastic process",
          "stochastic process"
        ],
        [
          "conditional probability distribution",
          "conditional probability distribution"
        ]
      ],
      "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"
      ]
    }
  ],
  "translations": [
    {
      "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"
}