Iosif Gikhman: Difference between revisions

From Wikipedia, the free encyclopedia
Browse history interactively
← Previous editNext edit →
Content deleted Content added
VisualWikitext
No edit summary
Citation bot (talk | contribs)
Bots
4,912,563 edits
Alter: title. Add: isbn, s2cid. | Use this bot. Report bugs. | Suggested by Headbomb | Linked from Wikipedia:WikiProject_Academic_Journals/Journals_cited_by_Wikipedia/Sandbox | #UCB_webform_linked 229/499
Line 42: Line 42:
In 1965, Gikhman was elected a Corresponding Member of the [[National Academy of Sciences of Ukraine]]. Since 1966 he had been in charge of the Department of Probability Theory of the Institute of Applied Mathematics and Mechanics of the [[National Academy of Sciences of Ukraine]] in Donetsk and directed the scientific work of the Department of Probability Theory at [[Donetsk State University]].
In 1965, Gikhman was elected a Corresponding Member of the [[National Academy of Sciences of Ukraine]]. Since 1966 he had been in charge of the Department of Probability Theory of the Institute of Applied Mathematics and Mechanics of the [[National Academy of Sciences of Ukraine]] in Donetsk and directed the scientific work of the Department of Probability Theory at [[Donetsk State University]].


His scientific works are devoted mainly to various problems of mathematical statistics and the theory of random processes. He co-authored with [[Anatoliy Skorokhod|A.V. Skorokhod]] several books that were translated into English and played an important role in the development of modern probability theory and the theory of stochastic processes. Gikhman was important to the Ukrainian school of probability, and a brilliant mathematician and teacher.<ref name="Portenko2008">{{cite journal|last1=Portenko|first1=M. I.|title=BEGINNING OF THE UKRAINIAN SCHOOL OF PROBABILITY THEORY: A HISTORICAL SKETCH|journal=Theor. Probability and Math. Statist.|volume=79|year=2009|pages=1–5|doi=10.1090/S0094-9000-09-00786-8|url=https://www.ams.org/journals/tpms/2009-79-00/S0094-9000-09-00786-8/S0094-9000-09-00786-8.pdf|doi-access=free}}</ref><ref name="SkorokhodYadrenko1995">{{cite journal|last1=Skorokhod|first1=A. V.|last2=Yadrenko|first2=M. I.|title=I. I. Gikhman: A brief review of scientific and pedagogic activity|journal=Theor. Probability and Math. Statist|volume=50|year=1995|pages=1–6}}</ref><ref name="Daniluk1968">{{cite journal|last1=Danilyuk|first1=I. I.|last2=Korolyuk|first2=V. S.|last3=Mitropolskij|first3=Yu. A.|last4=Skorokhod|first4=A. V.|last5=Yadrenko|first5=M. I.|title=Fiftieth birthday of Iosif Illich Gikhman|journal= Ukr. Math. J.|volume=20|year=1968|issue=3|pages= 316–319|doi=10.1007/BF01085946}}</ref>
His scientific works are devoted mainly to various problems of mathematical statistics and the theory of random processes. He co-authored with [[Anatoliy Skorokhod|A.V. Skorokhod]] several books that were translated into English and played an important role in the development of modern probability theory and the theory of stochastic processes. Gikhman was important to the Ukrainian school of probability, and a brilliant mathematician and teacher.<ref name="Portenko2008">{{cite journal|last1=Portenko|first1=M. I.|title=Beginning of the Ukrainian School of Probability Theory: A historical sketch|journal=Theor. Probability and Math. Statist.|volume=79|year=2009|pages=1–5|doi=10.1090/S0094-9000-09-00786-8|url=https://www.ams.org/journals/tpms/2009-79-00/S0094-9000-09-00786-8/S0094-9000-09-00786-8.pdf|doi-access=free}}</ref><ref name="SkorokhodYadrenko1995">{{cite journal|last1=Skorokhod|first1=A. V.|last2=Yadrenko|first2=M. I.|title=I. I. Gikhman: A brief review of scientific and pedagogic activity|journal=Theor. Probability and Math. Statist|volume=50|year=1995|pages=1–6}}</ref><ref name="Daniluk1968">{{cite journal|last1=Danilyuk|first1=I. I.|last2=Korolyuk|first2=V. S.|last3=Mitropolskij|first3=Yu. A.|last4=Skorokhod|first4=A. V.|last5=Yadrenko|first5=M. I.|title=Fiftieth birthday of Iosif Illich Gikhman|journal= Ukr. Math. J.|volume=20|year=1968|issue=3|pages= 316–319|doi=10.1007/BF01085946|s2cid=121036519}}</ref>
<ref name="LinkovYadrenko1998">{{cite journal|last1= Linkov|first1=Yurii N.|last2=Yadrenko|first2=Mikhail I.|title=To the 80th birthday of Iosif I. Gikhman|journal=Theory Stoch. Process.|volume=20|issue=4|year=1998|pages=1–16}}</ref>
<ref name="LinkovYadrenko1998">{{cite journal|last1= Linkov|first1=Yurii N.|last2=Yadrenko|first2=Mikhail I.|title=To the 80th birthday of Iosif I. Gikhman|journal=Theory Stoch. Process.|volume=20|issue=4|year=1998|pages=1–16}}</ref>


Line 48: Line 48:
*with A. V. Skorokhod: ''Introduction to the theory of random processes'', W. B. Saunders 1969,<ref name="GikhmanSkorokhod1969">{{cite book|author1=Iosif Ilyich Gikhman|author2=Anatoly Vladimirovich Skorokhod|title=Introduction to the Theory of Random Processes|url=https://books.google.com/books?id=yJyLzG7N7r8C|year=1969|publisher=W. B. Saunders|isbn=978-0-486-69387-3}}</ref> Dover 1996
*with A. V. Skorokhod: ''Introduction to the theory of random processes'', W. B. Saunders 1969,<ref name="GikhmanSkorokhod1969">{{cite book|author1=Iosif Ilyich Gikhman|author2=Anatoly Vladimirovich Skorokhod|title=Introduction to the Theory of Random Processes|url=https://books.google.com/books?id=yJyLzG7N7r8C|year=1969|publisher=W. B. Saunders|isbn=978-0-486-69387-3}}</ref> Dover 1996
*with A. V. Skorokhod: ''Stochastic Differential Equations'',<ref name="GikhmanSkorokhod1972">{{cite book|author1=Iosif Ilyich Gikhman|author2=Anatoly Vladimirovich Skorokhod|title=Stochastic Differential Equations|url=https://www.google.co.uk/books/edition/Stochastic_Differential_Equations_by_I_I/E08KtAEACAAJ?hl=en|year=1972|publisher=Springer-Verlag}}</ref> Springer Verlag 1972
*with A. V. Skorokhod: ''Stochastic Differential Equations'',<ref name="GikhmanSkorokhod1972">{{cite book|author1=Iosif Ilyich Gikhman|author2=Anatoly Vladimirovich Skorokhod|title=Stochastic Differential Equations|url=https://www.google.co.uk/books/edition/Stochastic_Differential_Equations_by_I_I/E08KtAEACAAJ?hl=en|year=1972|publisher=Springer-Verlag}}</ref> Springer Verlag 1972
*with A. V. Skorokhod: ''Controlled stochastic processes'',<ref name="GikhmanSkorokhod1979">{{cite book|author1=Iosif Ilyich Gikhman|author2=Anatoly Vladimirovich Skorokhod|title=Controlled stochastic processes|url=https://www.google.co.uk/books/edition/_/aYjTBwAAQBAJ?hl=en&gbpv=0|year=1979|publisher=Springer-Verlag}}</ref> Springer Verlag 1979
*with A. V. Skorokhod: ''Controlled stochastic processes'',<ref name="GikhmanSkorokhod1979">{{cite book|author1=Iosif Ilyich Gikhman|author2=Anatoly Vladimirovich Skorokhod|title=Controlled stochastic processes|url=https://www.google.co.uk/books/edition/_/aYjTBwAAQBAJ?hl=en&gbpv=0|year=1979|publisher=Springer-Verlag|isbn=9781461262022}}</ref> Springer Verlag 1979
*with A. V. Skorokhod: ''The Theory of Stochastic Processes'',<ref name="GikhmanSkorokhod2004_I">{{cite book|author1=Iosif Ilyich Gikhman|author2=Anatoly Vladimirovich Skorokhod|title=The Theory of Stochastic Processes I|url=https://www.google.co.uk/books/edition/_/HBDiMpORJkoC?hl=en&gbpv=0|year=2004|publisher=Springer-Verlag}}</ref><ref name="GikhmanSkorokhod2004_II">{{cite book|author1=Iosif Ilyich Gikhman|author2=Anatoly Vladimirovich Skorokhod|title=The Theory of Stochastic Processes II|url=https://www.google.co.uk/books/edition/_/apr1AOlLTbgC?hl=en&gbpv=0|year=2004|publisher=Springer-Verlag}}</ref><ref name="GikhmanSkorokhod2007_III">{{cite book|author1=Iosif Ilyich Gikhman|author2=Anatoly Vladimirovich Skorokhod|title=The Theory of Stochastic Processes III|url=https://www.google.co.uk/books/edition/_/4G57CwAAQBAJ?hl=en&gbpv=0|year=2007|publisher=Springer-Verlag}}</ref> Springer Verlag, 3 vols., 2004–2007
*with A. V. Skorokhod: ''The Theory of Stochastic Processes'',<ref name="GikhmanSkorokhod2004_I">{{cite book|author1=Iosif Ilyich Gikhman|author2=Anatoly Vladimirovich Skorokhod|title=The Theory of Stochastic Processes I|url=https://www.google.co.uk/books/edition/_/HBDiMpORJkoC?hl=en&gbpv=0|year=2004|publisher=Springer-Verlag|isbn=9783540202844}}</ref><ref name="GikhmanSkorokhod2004_II">{{cite book|author1=Iosif Ilyich Gikhman|author2=Anatoly Vladimirovich Skorokhod|title=The Theory of Stochastic Processes II|url=https://www.google.co.uk/books/edition/_/apr1AOlLTbgC?hl=en&gbpv=0|year=2004|publisher=Springer-Verlag|isbn=9783540202851}}</ref><ref name="GikhmanSkorokhod2007_III">{{cite book|author1=Iosif Ilyich Gikhman|author2=Anatoly Vladimirovich Skorokhod|title=The Theory of Stochastic Processes III|url=https://www.google.co.uk/books/edition/_/4G57CwAAQBAJ?hl=en&gbpv=0|year=2007|publisher=Springer-Verlag|isbn=9783540499411}}</ref> Springer Verlag, 3 vols., 2004–2007


==See also==
==See also==

Revision as of 22:16, 29 December 2021

Iosif Ilyich Gikhman
BornMay 26, 1918
Uman, Kiev province, USSR (now Cherkasy region, Ukraine)
DiedSeptember 30, 1985(1985-09-30) (aged 67)
NationalityUkrainian
Alma materKiev State University
Scientific career
FieldsMathematical statistics, Stochastic differential equation, Markovian processes
InstitutionsDonetsk State University
Academic advisorsNikolay Bogolyubov

Iosif Ilyich Gikhman (Ukrainian: Іосиф Ілліч Гіхман; May 26, 1918 – July 30, 1985)[1] was a Soviet mathematician.

Gikhman is well-known for a comprehensive treatise on the theory of stochastic processes, co-authored with Skorokhod.[2][3][4] In the words of mathematician and probability theorist Daniel W. Stroock[5] “Gikhman and Skorokhod have done an excellent job of presenting the theory in its present state of rich imperfection.”

Career

Gikhman graduated in 1939 from the Physics and Mathematics Faculty of Kiev University and began his scientific career in postgraduate studies under the supervision of N.N. Bogolyubov.

After the war, Gikhman worked first at the Kiev Automobile and Highway Institute, and from 1948 to 1966 he worked at the Kiev State University first as an assistant professor, then later as professor, and later as head of the Department of Probability Theory. In 1955, he defended his doctoral dissertation “Markov processes and some problems of mathematical statistics”, and in 1959 he received the title of professor.

In 1965, Gikhman was elected a Corresponding Member of the National Academy of Sciences of Ukraine. Since 1966 he had been in charge of the Department of Probability Theory of the Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine in Donetsk and directed the scientific work of the Department of Probability Theory at Donetsk State University.

His scientific works are devoted mainly to various problems of mathematical statistics and the theory of random processes. He co-authored with A.V. Skorokhod several books that were translated into English and played an important role in the development of modern probability theory and the theory of stochastic processes. Gikhman was important to the Ukrainian school of probability, and a brilliant mathematician and teacher.[6][7][8] [9]

Selected works

  • with A. V. Skorokhod: Introduction to the theory of random processes, W. B. Saunders 1969,[10] Dover 1996
  • with A. V. Skorokhod: Stochastic Differential Equations,[11] Springer Verlag 1972
  • with A. V. Skorokhod: Controlled stochastic processes,[12] Springer Verlag 1979
  • with A. V. Skorokhod: The Theory of Stochastic Processes,[2][3][4] Springer Verlag, 3 vols., 2004–2007

See also

Notes

  1. ^ "Modern Stochastics: Theory and Application. IV. Dedicated to the 100-th anniversary of I. I. Gikhman" (PDF). Kiev State University Conference Materials. May 24–26, 2018. Retrieved 5 March 2021.{{cite web}}: CS1 maint: date format (link)
  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. ^ Stroock, Daniel W. (1980). "Review: The theory of stochastic processes, by I. I. Gihman and A. V. Skorokhod" (PDF). Bull. Amer. Math. Soc. (N.S.). 2 (2): 388–390. doi:10.1090/s0273-0979-1980-14773-4.
  6. ^ Portenko, M. I. (2009). "Beginning of the Ukrainian School of Probability Theory: A historical sketch" (PDF). Theor. Probability and Math. Statist. 79: 1–5. doi:10.1090/S0094-9000-09-00786-8.
  7. ^ Skorokhod, A. V.; Yadrenko, M. I. (1995). "I. I. Gikhman: A brief review of scientific and pedagogic activity". Theor. Probability and Math. Statist. 50: 1–6.
  8. ^ Danilyuk, I. I.; Korolyuk, V. S.; Mitropolskij, Yu. A.; Skorokhod, A. V.; Yadrenko, M. I. (1968). "Fiftieth birthday of Iosif Illich Gikhman". Ukr. Math. J. 20 (3): 316–319. doi:10.1007/BF01085946. S2CID 121036519.
  9. ^ Linkov, Yurii N.; Yadrenko, Mikhail I. (1998). "To the 80th birthday of Iosif I. Gikhman". Theory Stoch. Process. 20 (4): 1–16.
  10. ^ Iosif Ilyich Gikhman; Anatoly Vladimirovich Skorokhod (1969). Introduction to the Theory of Random Processes. W. B. Saunders. ISBN 978-0-486-69387-3.
  11. ^ Iosif Ilyich Gikhman; Anatoly Vladimirovich Skorokhod (1972). Stochastic Differential Equations. Springer-Verlag.
  12. ^ Iosif Ilyich Gikhman; Anatoly Vladimirovich Skorokhod (1979). Controlled stochastic processes. Springer-Verlag. ISBN 9781461262022.

External links


Flag of UkraineScientist icon Stub icon

This article about a Ukrainian scientist is a stub. You can help Wikipedia by expanding it.

Retrieved from "https://en.wikipedia.org/w/index.php?title=Iosif_Gikhman&oldid=1062680143"