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Rostislav Ivanovich Grigorchuk ((ウクライナ語:Ростислав Івaнович Григорчук), (ロシア語:Ростисла́в Ива́нович Григорчу́к); b. February 23, 1953) is a Soviet and Ukrainian mathematician working in the area of group theory. He holds the rank of Distinguished Professor in the Mathematics Department of Texas A&M University. Grigorchuk is particularly well known for having constructed, in a 1984 paper,〔 the first example of a finitely generated group of intermediate growth, thus answering an important problem posed by John Milnor in 1968. This group is now known as the Grigorchuk group〔Pierre de la Harpe. ''Topics in geometric group theory.'' Chicago Lectures in Mathematics. University of Chicago Press, Chicago. ISBN 0-226-31719-6〕〔Laurent Bartholdi. ''The growth of Grigorchuk's torsion group.'' International Mathematics Research Notices, 1998, no. 20, pp. 1049-1054〕〔Tullio Ceccherini-Silberstein, Antonio Machì, and Fabio Scarabotti. ''The Grigorchuk group of intermediate growth.'' Rendiconti del Circolo Matematico di Palermo (2), vol. 50 (2001), no. 1, pp. 67-102〕〔Yu. G. Leonov. ''On a lower bound for the growth function of the Grigorchuk group.'' (in Russian). Matematicheskie Zametki, vol. 67 (2000), no. 3, pp. 475-477; translation in: Mathematical Notes, vol. 67 (2000), no. 3-4, pp. 403-405〕〔Roman Muchnik, and Igor Pak. ''Percolation on Grigorchuk groups.'' Communications in Algebra, vol. 29 (2001), no. 2, pp. 661-671.〕 and it is one of the important objects studied in geometric group theory, particularly in the study of branch groups, automata groups and iterated monodromy groups. ==Biographical data== Grigorchuk was born on February 23, 1953 in Ternopil oblast, Ukraine (in 1953 part of the USSR).〔 He received his undergraduate degree in 1975 from Moscow State University. He obtained a PhD (Candidate of Science) in Mathematics in 1978, also from Moscow State University, where his thesis advisor was A. M. Stepin. Grigorchuk received a habilitation (Doctor of Science) degree in Mathematics in 1985 at the Steklov Institute of Mathematics in Moscow.〔 During the 1980s and 1990s, Rostislav Grigorchuk held positions at the Moscow State University of Transportation, and subsequently at the Steklov Institute of Mathematics and Moscow State University.〔 In 2002 Grigorchuk joined the faculty of Texas A&M University as a Professor of Mathematics, and he was promoted to the rank of Distinguished Professor in 2008.〔(2008 Personal News ), Department of Mathematics, Texas A&M University. Accessed January 15, 2010.〕 Rostislav Grigorchuk gave an invited address at the 1990 International Congress of Mathematicians in Kyoto〔R. I. Grigorchuk. ''On growth in group theory.'' Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990), pp. 325-338, Math. Soc. Japan, Tokyo, 1991〕 an AMS Invited Address at the March 2004 meeting of the American Mathematical Society in Athens, Ohio〔(Spring Central Section Meeting, Athens, OH, March 26-27, 2004. ) American Mathematical Society. Accessed January 15, 2010.〕 and a plenary talk at the 2004 Winter Meeting of the Canadian Mathematical Society.〔(2004 Winter Meeting, ) Canadian Mathematical Society. Accessed January 15, 2010.〕 Grigorchuk is the Editor-in-Chief of the journal ''"Groups, Geometry and Dynamics"'',〔(''Groups, Geometry and Dynamics'' )〕 published by the European Mathematical Society, and a member of the editorial boards of the journals ''"International Journal of Algebra and Computation"'',〔(Editorial Board, International Journal of Algebra and Computation )〕 ''"Journal of Modern Dynamics"'',〔(Editorial Board, Journal of Moden Dynamics )〕 ''"Geometriae Dedicata"'',〔(Editorial Board, Geometriae Dedicata )〕 ''"Algebra and Discrete Mathematics",''〔(Editorial Board, Algebra and Discrete Mathematics )〕 ''"Bulletin of Chernivtsi University"'' and ''"Matematychni Studii"''. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Rostislav Grigorchuk」の詳細全文を読む スポンサード リンク
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