| 词条 | Aleksandr Khinchin |
| 释义 |
| name = Aleksandr Khinchin | image = Aleksandr Khinchin.gif | image_size = 200px | alt = | caption = Aleksandr Ya. Khinchin | birth_date = {{Birth date|1894|07|19|mf=y}} | birth_place = Kondrovo, Russian Empire (present-day Kaluga Oblast, Russia) | death_date = {{Death date and age|1959|11|18|1894|07|19|mf=y}} | death_place = Moscow, Russian SFSR (present-day Russia) | nationality = Russian, Soviet | fields = Mathematics | workplaces = Moscow State University | alma_mater = Moscow State University | doctoral_advisor = Nikolai Luzin | doctoral_students = Alexander Buchstab Alexander Gelfond | known_for = | awards = }} Aleksandr Yakovlevich Khinchin ({{lang-ru|Алекса́ндр Я́ковлевич Хи́нчин}}, {{lang-fr|Alexandre Khintchine}}; July 19, 1894 – November 18, 1959) was a Soviet mathematician and one of the most significant contributors to the Soviet school of probability theory. Life and careerHe was born in the village of Kondrovo, Kaluga Governorate, Russian Empire. While studying at Moscow State University, he became one of the first followers of the famous Luzin school. Khinchin graduated from the university in 1916 and six years later he became a full professor there, retaining that position until his death. Khinchin's early works focused on real analysis. Later he applied methods from the metric theory of functions to problems in probability theory and number theory. He became one of the founders of modern probability theory, discovering the law of the iterated logarithm in 1924, achieving important results in the field of limit theorems, giving a definition of a stationary process and laying a foundation for the theory of such processes. Khinchin made significant contributions to the metric theory of Diophantine approximations and established an important result for simple real continued fractions, discovering a property of such numbers that leads to what is now known as Khinchin's constant. He also published several important works on statistical physics, where he used the methods of probability theory, and on information theory, queuing theory and mathematical analysis. In 1939 Khinchin was elected as a Correspondent Member of the Academy of Sciences of the USSR. He was awarded the Stalin Prize (1941), the Order of Lenin, three other orders, and medals. {{Citation needed|date=November 2018}} See also
Bibliography
References1. ^{{cite journal|author=Rietz, H. L.|authorlink=Henry Louis Rietz|title=Review: Asymptotische Gesetze der Wahrscheinlichkeitsrechnung by A. Khintchine|journal=Bull. Amer. Math. Soc.|year=1934|volume=40|issue=7|pages=518–519|url=http://www.ams.org/journals/bull/1934-40-07/S0002-9904-1934-05880-4/S0002-9904-1934-05880-4.pdf|doi=10.1090/s0002-9904-1934-05880-4}} 2. ^{{cite journal|author=Brauer, Alfred|authorlink=Alfred Brauer|title=Review: Three Pearls of Number Theory by A. Y. Khinchin|journal=Bull. Amer. Math. Soc.|year=1955|volume=61|issue=4|pages=351–353|url=http://www.ams.org/journals/bull/1955-61-04/S0002-9904-1955-09940-3/S0002-9904-1955-09940-3.pdf|doi=10.1090/S0002-9904-1955-09940-3}} 3. ^{{cite journal|author=Mackey, George W.|authorlink=George Mackey|title=Review: Mathematical Foundations of Quantum Statistics by Y. A. Khinchin, trans. by Irwin Shapiro|journal=Bull. Amer. Math. Soc.|year=1962|volume=68|issue=3|pages=169–172|url=http://www.ams.org/journals/bull/1962-68-03/S0002-9904-1962-10731-9/S0002-9904-1962-10731-9.pdf|doi=10.1090/s0002-9904-1962-10731-9}} 4. ^{{Cite book|title=Mathematical Foundations of Information Theory|last=Khinchin|first=Aleksandr|publisher=Dover Publications|year=1957|isbn=9780486604343|location=|pages=}} External links
12 : 20th-century mathematicians|Russian mathematicians|Soviet mathematicians|Number theorists|Probability theorists|Queueing theorists|Stalin Prize winners|Moscow State University alumni|Moscow State University faculty|Corresponding Members of the USSR Academy of Sciences|1894 births|1959 deaths |
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