Share to: share facebook share twitter share wa share telegram print page

Anatoliy Skorokhod

Anatoliy Volodymyrovych Skorokhod
BornSeptember 10, 1930
Nikopol', USSR (now Dnipropetrovsk Oblast, Ukraine)
DiedJanuary 3, 2011(2011-01-03) (aged 80)
NationalityUkrainian
Alma materKyiv University, Moscow State University
Known forSkorokhod integral,
Skorokhod's embedding theorem,
Skorokhod's representation theorem,
Skorokhod space,
Skorokhod problem
Scientific career
FieldsMathematics, Stochastic differential equation, Markovian processes
InstitutionsMichigan State University
Academic advisorsEugene Dynkin

Anatoliy Volodymyrovych Skorokhod (Ukrainian: Анато́лій Володи́мирович Скорохо́д; September 10, 1930 – January 3, 2011)[1] was a Soviet and Ukrainian mathematician.

Skorokhod is well-known for a comprehensive treatise on the theory of stochastic processes, co-authored with Gikhman.[2][3][4]

Career

Skorokhod worked at Kyiv University from 1956 to 1964. He was subsequently at the Institute of Mathematics of the National Academy of Sciences of Ukraine from 1964 until 2002. Since 1993, he had been a professor at Michigan State University in the US, and a member of the American Academy of Arts and Sciences.[5]

He was an academician of the National Academy of Sciences of Ukraine from 1985 to his death in 2011.[6][7]

His scientific works are on the theory of:

Skorokhod authored over 450 scientific works, including more than 40 monographs and books.

Many terms and concepts have his name, specifically

Selected works

  • with I. I. Gikhman: Introduction to the theory of random processes, W. B. Saunders 1969,[8] Dover 1996
  • with I. I. Gikhman: Stochastic Differential Equations,[9] Springer Verlag 1972
  • with I. I. Gikhman: Controlled stochastic processes,[10] Springer Verlag 1979
  • with I. I. Gikhman: The Theory of Stochastic Processes,[2][3][4] Springer Verlag, 3 vols., 2004–2007
  • Random processes with independent increments, Kluwer 1991
  • Asymptotic methods in the theory of stochastic differential equations , American Mathematical Society 1989
  • Random linear operators, Reidel 1984
  • Studies in the theory of random processes, Dover 1982[11]
  • Stochastic equations for complex systems, Reidel/Kluwer 1988 ISBN 90-277-2408-3[12]
  • Stochastische Differentialgleichungen, Berlin, Akademie Verlag 1971
  • Integration in Hilbert Space, Springer Verlag 1974[13]
  • with Yu. V. Prokhorov: Basic principles and applications of probability theory, Springer Verlag 2005
  • with Frank C. Hoppensteadt, Habib Salehi: Random perturbation methods with applications in science and engineering, Springer Verlag 2002

See also

Notes

  1. ^ "Skorkhod, Anatoli". Michigan State University News. January 11, 2011. Retrieved 5 March 2011.
  2. ^ a b Iosif Ilyich Gikhman; Anatoly Vladimirovich Skorokhod (2004). The Theory of Stochastic Processes I. Springer-Verlag. ISBN 9783540202844.
  3. ^ a b Iosif Ilyich Gikhman; Anatoly Vladimirovich Skorokhod (2004). The Theory of Stochastic Processes II. Springer-Verlag. ISBN 9783540202851.
  4. ^ a b Iosif Ilyich Gikhman; Anatoly Vladimirovich Skorokhod (2007). The Theory of Stochastic Processes III. Springer-Verlag. ISBN 9783540499411.
  5. ^ "To Anatolii Volodymyrovych Skorokhod's memory". Archived from the original on 18 April 2011. Retrieved 5 March 2011.
  6. ^ Ibragimov, I.A. (2012). "In memory of Anatolii Vladimirovich Skorokhod (1930–2011)". Theory Probab. Appl. 56: 116–119. doi:10.1137/S0040585X97985248.
  7. ^ "Obituary: Anatolii Skorokhod, 1930–2011". IMS Bulletin Online. Institute of Mathematical Statistics. September 9, 2011. Archived from the original on 6 March 2013. Retrieved 9 March 2013.
  8. ^ Iosif Ilyich Gikhman; Anatoly Vladimirovich Skorokhod (1969). Introduction to the Theory of Random Processes. Courier Corporation. ISBN 978-0-486-69387-3.
  9. ^ Iosif Ilyich Gikhman; Anatoly Vladimirovich Skorokhod (1972). Stochastic Differential Equations. Springer-Verlag.
  10. ^ Iosif Ilyich Gikhman; Anatoly Vladimirovich Skorokhod (1979). Controlled stochastic processes. Springer-Verlag. ISBN 9781461262022.
  11. ^ Getoor, R. K. (1967). "Review: Studies in the Theory of Random Processes by A. V. Skorokhov". Ann. Math. Statist. 38 (1): 287. doi:10.1214/aoms/1177699087.
  12. ^ Dawson, Donald A. (1989). "Review of Stochastic equations for complex systems by A. V. Skorohod". Bull. Amer. Math. Soc. (N.S.). 20 (2): 259–267. doi:10.1090/S0273-0979-1989-15790-X. MR 1567763.
  13. ^ Stroock, D. W. (1976). "joint review of The theory of stochastic processes, vol. I by I. I. Gihman and A. V. Skorohod; Stochastic calculus and stochastic models by E. J. McShane; Mesures cylindriques, espaces de Wiener, et fonctions aléatoires Gaussiennes by Albert Badrikian and Simone Chevet; Almost sure convergence by William F. Stout; Integration in Hilbert space by A. V. Skorohod". Bull. Amer. Math. Soc. 82: 227–232. doi:10.1090/S0002-9904-1976-13996-1. MR 1566848.

Read other articles:

Hedy LamarrHedy Lamarr (1940)LahirHedwig Eva Maria Kiesler(1914-11-09)9 November 1914Vienna, Austria-HungariaMeninggal19 Januari 2000(2000-01-19) (umur 85)Casselberry, Florida, A.S.PekerjaanAktris, penemuTahun aktif1930–1958Suami/istriFritz Mandl (m.1933–1937; bercerai) Gene Markey (m.1939–1941; bercerai) John Loder (m.1943–1947; bercerai) Teddy Stauffer (m.1951–1952; bercerai) W. Howard Lee (m.1953–1960; bercerai) Lewis J. Boies (m.1963–1965; bercerai) Hedy Lamarr (/ˈhe…

Temple complex in Cambodia For the band, see Angkor Wat (band). For the Yes song, see Union (Yes album). Angkor Watអង្គរវត្តFront side of the main complexLocation in CambodiaLocationSiem Reap, CambodiaCoordinates13°24′45″N 103°52′0″E / 13.41250°N 103.86667°E / 13.41250; 103.86667Altitude65 m (213 ft)HistoryBuilderStarted by Suryavarman II Completed by Jayavarman VIIFounded1150[1]CulturesKhmer EmpireArchitectureArchitectural …

Expert or enthusiast obsessed with a hobby or intellectual pursuit For other uses, see Geek (disambiguation). Geek girl at the Geek Picnic (Moscow) wearing a Geek shirt and a VR headset The word geek is a slang term originally used to describe eccentric or non-mainstream people; in current use, the word typically connotes an expert or enthusiast obsessed with a hobby or intellectual pursuit. In the past, it had a generally pejorative meaning of a peculiar person, especially one who is perceived …

العلاقات الفرنسية الكوستاريكية فرنسا كوستاريكا   فرنسا   كوستاريكا تعديل مصدري - تعديل   العلاقات الفرنسية الكوستاريكية هي العلاقات الثنائية التي تجمع بين فرنسا وكوستاريكا.[1][2][3][4][5] مقارنة بين البلدين هذه مقارنة عامة ومرجعية للدولتين: وجه …

Not to be confused with Melrose/Cedar Park station. Melrose ParkGeneral informationLocation800 Valley RoadMelrose Park, Pennsylvania 19027Coordinates40°03′34″N 75°07′45″W / 40.0595°N 75.1293°W / 40.0595; -75.1293Owned bySEPTALine(s)SEPTA Main LinePlatforms2 side platformsTracks2ConnectionsSEPTA City Bus: 28ConstructionParking185 space parking lotAccessibleYesOther informationFare zone2HistoryRebuilt2005ElectrifiedJuly 26, 1931[1]Previous namesOak …

Les ministres des Affaires étrangères des nations du P5+1, le Haut Représentant de l'Union pour les affaires étrangères et la politique de sécurité, et le ministre iranien des Affaires étrangères en novembre 2013, lorsque le plan d'action conjoint, un accord intérimaire sur le programme nucléaire iranien, a été adopté à Genève. Les ministres des Affaires étrangères de la France, l'Allemagne, l'Union européenne, l'Iran, le Royaume-Uni et les États-Unis ainsi que des diplomates…

This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: Shootaround – news · newspapers · books · scholar · JSTOR (December 2009) (Learn how and when to remove this template message) Pregame shootaround of the 2012–13 Michigan Wolverines in their 2012–13 Big Ten Conference season opener at Welsh-Ryan Arena on Janua…

Sony Pictures Entertainment, Inc.JenisSubsidiari Sony CorporationIndustriFilmAcara televisiSindikat komunikasiOnline gamesMobile EntertainmentVideo on demandDigital distributionDidirikan1987 (sebagai Columbia Pictures Entertainment, Inc.)[1] 1991 (sebagai Sony Pictures Entertainment)Kantorpusat Culver City, California, Amerika SerikatTokohkunciTony Vinciquerra, CEO dan ChairmanPendapatanUS$8.58 billion (2007)Laba operasiUS$540 million (2007)Situs websonypictures.com Sony Pictures Enterta…

Синелобый амазон Научная классификация Домен:ЭукариотыЦарство:ЖивотныеПодцарство:ЭуметазоиБез ранга:Двусторонне-симметричныеБез ранга:ВторичноротыеТип:ХордовыеПодтип:ПозвоночныеИнфратип:ЧелюстноротыеНадкласс:ЧетвероногиеКлада:АмниотыКлада:ЗавропсидыКласс:Птиц…

National Defence University of MalaysiaUniversiti Pertahanan Nasional MalaysiaLambang dari Universitas Pertahanan Nasional MalaysiaNama sebelumnyaAkademi Tentera Malaysia (ATMA)MotoKewajipan, Maruah, IntegritiMoto dalam bahasa InggrisDuty, Honour, IntegrityJenisPublikDidirikan1995 (sebagai Akademi Tentera Malaysia), 2006 (sebagai Universiti Pertahanan Nasional Malaysia)KanselirYang di-Pertuan Agong Al-Sultan Abdullah of Pahang (Supreme Ruler of Malaysia)Wakil KanselirLieutenant General Dato…

Constituency of Bangladesh's Jatiya Sangsad BandarbanConstituencyfor the Jatiya SangsadDistrictRangamati Hill DistrictDivisionChittagong DivisionElectorate418,217 (2018)Current constituencyCreated1973PartyBangladesh Awami LeagueMember of ParliamentDipankar TalukdarPrev. ConstituencyKhagrachari (Constituency 298)Next ConstituencyBandarban (Constituency 300) Rangamati is a constituency of the Jatiya Sangsad (National Parliament) of Bangladesh,[1] represented, since 2018 June, by Dipankar T…

Questa voce sugli argomenti politici statunitensi e militari statunitensi è solo un abbozzo. Contribuisci a migliorarla secondo le convenzioni di Wikipedia. Segui i suggerimenti dei progetti di riferimento 1, 2. Benjamin LincolnRitratto di Lincoln del 1784, opera di Charles Willson PealeNascitaHingham, 24 gennaio 1733 MorteHingham, 9 maggio 1810 Dati militariPaese servito Stati Uniti Forza armataMilizia del Massachusetts Esercito continentale United States Army Anni di se…

Cricket team This article is about the men's team. For the women's team, see Uganda women's national cricket team. UgandaUganda Cricket Association logoNickname(s)Cricket CranesAssociationUganda Cricket AssociationPersonnelCaptainBrian MasabaCoachAbhay SharmaInternational Cricket CouncilICC statusAssociate member (1998; 26 years ago (1998))ICC regionAfricaICC Rankings Current[1] Best-everT20I 23rd 22nd (26 Nov 2023)Twenty20 InternationalsFirst T20Iv.  Botswana…

この項目には、一部のコンピュータや閲覧ソフトで表示できない文字が含まれています(詳細)。 数字の大字(だいじ)は、漢数字の一種。通常用いる単純な字形の漢数字(小字)の代わりに同じ音の別の漢字を用いるものである。 概要 壱万円日本銀行券(「壱」が大字) 弐千円日本銀行券(「弐」が大字) 漢数字には「一」「二」「三」と続く小字と、「壱」「弐」…

French ballet dancer Little Dancer of Fourteen Years, detail of Degas' statue of van Goethem. Marie Geneviève van Goethem (or Goetham or Goeuthen; born 7 June 1865) was a French ballet student and dancer with the Paris Opera Ballet, and the model for Edgar Degas's statue Little Dancer of Fourteen Years (La Petite Danseuse de Quatorze Ans). Early life Marie was the daughter of a laundress and a tailor, who came to Paris in the early 1860s from Belgium. She was born in 1865 in the diverse 9th arr…

For the Damascus municipality, see Qanawat (Damascus). For the Iranian town, see Qanavat. Canatha redirects here. For the genus of moths, see Canatha (moth). Village in as-Suwayda, SyriaQanawat قَنَوَاتVillageQanawatLocation in SyriaCoordinates: 32°45′20″N 36°37′00″E / 32.75556°N 36.61667°E / 32.75556; 36.61667Grid position301/240Country SyriaGovernorateas-SuwaydaDistrictas-SuwaydaSubdistrictas-SuwaydaElevation1,200 m (3,900 ft)Popu…

This article uses bare URLs, which are uninformative and vulnerable to link rot. Please consider converting them to full citations to ensure the article remains verifiable and maintains a consistent citation style. Several templates and tools are available to assist in formatting, such as reFill (documentation) and Citation bot (documentation). (September 2022) (Learn how and when to remove this message) This article needs additional citations for verification. Please help improve this article b…

土库曼斯坦总统土库曼斯坦国徽土库曼斯坦总统旗現任谢尔达尔·别尔德穆哈梅多夫自2022年3月19日官邸阿什哈巴德总统府(Oguzkhan Presidential Palace)機關所在地阿什哈巴德任命者直接选举任期7年,可连选连任首任萨帕尔穆拉特·尼亚佐夫设立1991年10月27日 土库曼斯坦土库曼斯坦政府与政治 国家政府 土库曼斯坦宪法 国旗 国徽 国歌 立法機關(英语:National Council of Turkmenistan) 土…

1994 film by Gillian Armstrong Little WomenTheatrical release posterDirected byGillian ArmstrongScreenplay byRobin SwicordBased onLittle Women1868 novelby Louisa May AlcottProduced byDenise Di NoviStarring Winona Ryder Gabriel Byrne Trini Alvarado Samantha Mathis Kirsten Dunst Claire Danes Christian Bale Eric Stoltz Mary Wickes Susan Sarandon CinematographyGeoffrey SimpsonEdited byNicholas BeaumanMusic byThomas NewmanProductioncompanyDiNovi PicturesDistributed byColumbia PicturesRelease date Dec…

Nauplia redirects here. For other uses, see Nauplius. Municipality in GreeceNafplio ΝαύπλιοMunicipalityClockwise from top right: Palamidi Fortress, Acronauplia Clock Tower, Nafplio Old Town, Constitution Square, Bourtzi Castle, Othonos Street, Nafplio Town Hall. Bottom of the photo of the central square of Nafplio: View of Nafplio and the surrounding areas.NafplioLocation within the region Coordinates: 37°33′57″N 22°48′00″E / 37.56583°N 22.80000°E / 37.…

Kembali kehalaman sebelumnya