Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Shizuo_Kakutani> ?p ?o }
- Shizuo_Kakutani abstract "Shizuo Kakutani (角谷 静夫, Kakutani Shizuo, August 28, 1911 in Ōsaka – August 17, 2004 in New Haven, Connecticut) was a Japanese-born American mathematician, best known for his eponymous fixed-point theorem.Kakutani attended Tohoku University in Sendai, where his advisor was Tatsujirō Shimizu. At one point he spent two years at the Institute for Advanced Study in Princeton at the invitation of the mathematician Hermann Weyl. While there, he also met John von Neumann.Kakutani received his Ph.D. in 1941 from Osaka University and taught there through World War II. He returned to the Institute for Advanced Study in 1948, and was given a professorship by Yale in 1949, where he won a students choice award for excellence in teaching.Kakutani received two awards of the Japan Academy, the Imperial Prize and the Academy Prize in 1982, for his scholarly achievements in general and his work on functional analysis in particular.The Kakutani fixed-point theorem is a generalization of Brouwer's fixed-point theorem, holding for generalized correspondences instead of functions. Its most important uses are in proving the existence of Nash equilibria in game theory, and the Arrow–Debreu–McKenzie model of general equilibrium theory.Kakutani's other mathematical contributions include the Kakutani skyscraper, a concept in ergodic theory (a branch of mathematics that studies dynamical systems with an invariant measure and related problems). They also include his solution of the Poisson equation using the methods of stochastic analysis.The Collatz conjecture is also known as the Kakutani conjecture.His daughter, Michiko Kakutani, is a Pulitzer Prize-winning literary critic for the New York Times.".
- Shizuo_Kakutani almaMater Tohoku_University.
- Shizuo_Kakutani birthDate "1911".
- Shizuo_Kakutani birthDate "1911-08-28".
- Shizuo_Kakutani birthPlace Osaka.
- Shizuo_Kakutani birthPlace Ōsaka.
- Shizuo_Kakutani birthYear "1911".
- Shizuo_Kakutani deathDate "2004".
- Shizuo_Kakutani deathPlace New_Haven,_Connecticut.
- Shizuo_Kakutani deathYear "2004".
- Shizuo_Kakutani doctoralStudent Alexandra_Bellow.
- Shizuo_Kakutani doctoralStudent Anatole_Beck.
- Shizuo_Kakutani doctoralStudent Arshag_Hajian.
- Shizuo_Kakutani doctoralStudent James_Rovnyak.
- Shizuo_Kakutani doctoralStudent Roy_Adler.
- Shizuo_Kakutani field Mathematics.
- Shizuo_Kakutani knownFor Kakutani_fixed-point_theorem.
- Shizuo_Kakutani nationality Japanese_Americans.
- Shizuo_Kakutani thumbnail Shizuo_Kakutani.jpg?width=300.
- Shizuo_Kakutani wikiPageExternalLink Kakutani.html.
- Shizuo_Kakutani wikiPageExternalLink 18kakutani.html.
- Shizuo_Kakutani wikiPageExternalLink MathInTheNews.htm.
- Shizuo_Kakutani wikiPageExternalLink story10.html.
- Shizuo_Kakutani wikiPageID "2572542".
- Shizuo_Kakutani wikiPageLength "4729".
- Shizuo_Kakutani wikiPageOutDegree "66".
- Shizuo_Kakutani wikiPageRevisionID "682537589".
- Shizuo_Kakutani wikiPageWikiLink Academy_Prize.
- Shizuo_Kakutani wikiPageWikiLink Alexandra_Bellow.
- Shizuo_Kakutani wikiPageWikiLink Anatole_Beck.
- Shizuo_Kakutani wikiPageWikiLink Arrow–Debreu_model.
- Shizuo_Kakutani wikiPageWikiLink Arrow–Debreu–McKenzie_model.
- Shizuo_Kakutani wikiPageWikiLink Arshag_Hajian.
- Shizuo_Kakutani wikiPageWikiLink Brouwer_fixed-point_theorem.
- Shizuo_Kakutani wikiPageWikiLink Brouwers_fixed-point_theorem.
- Shizuo_Kakutani wikiPageWikiLink Category:1911_births.
- Shizuo_Kakutani wikiPageWikiLink Category:2004_deaths.
- Shizuo_Kakutani wikiPageWikiLink Category:20th-century_Japanese_mathematicians.
- Shizuo_Kakutani wikiPageWikiLink Category:21st-century_Japanese_mathematicians.
- Shizuo_Kakutani wikiPageWikiLink Category:American_people_of_Japanese_descent.
- Shizuo_Kakutani wikiPageWikiLink Category:Japanese_emigrants_to_the_United_States.
- Shizuo_Kakutani wikiPageWikiLink Category:Laureates_of_the_Imperial_Prize.
- Shizuo_Kakutani wikiPageWikiLink Category:Osaka_University_alumni.
- Shizuo_Kakutani wikiPageWikiLink Category:Osaka_University_faculty.
- Shizuo_Kakutani wikiPageWikiLink Category:Probability_theorists.
- Shizuo_Kakutani wikiPageWikiLink Category:Tohoku_University_alumni.
- Shizuo_Kakutani wikiPageWikiLink Collatz_conjecture.
- Shizuo_Kakutani wikiPageWikiLink Correspondence_(mathematics).
- Shizuo_Kakutani wikiPageWikiLink Doctor_of_Philosophy.
- Shizuo_Kakutani wikiPageWikiLink Dynamical_system.
- Shizuo_Kakutani wikiPageWikiLink Ergodic_theory.
- Shizuo_Kakutani wikiPageWikiLink Function_(mathematics).
- Shizuo_Kakutani wikiPageWikiLink Game_theory.
- Shizuo_Kakutani wikiPageWikiLink General_equilibrium_theory.
- Shizuo_Kakutani wikiPageWikiLink Hermann_Weyl.
- Shizuo_Kakutani wikiPageWikiLink Imperial_Prize.
- Shizuo_Kakutani wikiPageWikiLink Institute_for_Advanced_Study.
- Shizuo_Kakutani wikiPageWikiLink Invariant_measure.
- Shizuo_Kakutani wikiPageWikiLink James_Rovnyak.
- Shizuo_Kakutani wikiPageWikiLink Japan.
- Shizuo_Kakutani wikiPageWikiLink Japan_Academy.
- Shizuo_Kakutani wikiPageWikiLink Japanese_American.
- Shizuo_Kakutani wikiPageWikiLink Japanese_Americans.
- Shizuo_Kakutani wikiPageWikiLink John_von_Neumann.
- Shizuo_Kakutani wikiPageWikiLink Kakutani_fixed-point_theorem.
- Shizuo_Kakutani wikiPageWikiLink Kakutani_fixed_point_theorem.
- Shizuo_Kakutani wikiPageWikiLink Kakutani_skyscraper.
- Shizuo_Kakutani wikiPageWikiLink Kakutanis_theorem_(geometry).
- Shizuo_Kakutani wikiPageWikiLink Mathematician.
- Shizuo_Kakutani wikiPageWikiLink Mathematics.
- Shizuo_Kakutani wikiPageWikiLink Michiko_Kakutani.
- Shizuo_Kakutani wikiPageWikiLink Nash_equilibria.
- Shizuo_Kakutani wikiPageWikiLink Nash_equilibrium.
- Shizuo_Kakutani wikiPageWikiLink New_Haven,_Connecticut.
- Shizuo_Kakutani wikiPageWikiLink New_York_Times.
- Shizuo_Kakutani wikiPageWikiLink Osaka.
- Shizuo_Kakutani wikiPageWikiLink Osaka_University.
- Shizuo_Kakutani wikiPageWikiLink Ph.D..
- Shizuo_Kakutani wikiPageWikiLink Poisson_equation.
- Shizuo_Kakutani wikiPageWikiLink Poissons_equation.
- Shizuo_Kakutani wikiPageWikiLink Princeton,_New_Jersey.
- Shizuo_Kakutani wikiPageWikiLink Pulitzer_Prize.
- Shizuo_Kakutani wikiPageWikiLink Rokhlin_lemma.
- Shizuo_Kakutani wikiPageWikiLink Roy_Adler.
- Shizuo_Kakutani wikiPageWikiLink Sendai.
- Shizuo_Kakutani wikiPageWikiLink Sendai,_Miyagi.
- Shizuo_Kakutani wikiPageWikiLink Stochastic_processes_and_boundary_value_problems.
- Shizuo_Kakutani wikiPageWikiLink Tatsujirō_Shimizu.
- Shizuo_Kakutani wikiPageWikiLink The_New_York_Times.
- Shizuo_Kakutani wikiPageWikiLink Tohoku_University.
- Shizuo_Kakutani wikiPageWikiLink World_War_II.
- Shizuo_Kakutani wikiPageWikiLink Yale_University.
- Shizuo_Kakutani wikiPageWikiLink Ōsaka.
- Shizuo_Kakutani wikiPageWikiLinkText "Kakutani".
- Shizuo_Kakutani wikiPageWikiLinkText "Kakutani, Shizuo".
- Shizuo_Kakutani wikiPageWikiLinkText "S. Kakutani".
- Shizuo_Kakutani wikiPageWikiLinkText "Shizuo Kakutani".
- Shizuo_Kakutani almaMater Tohoku_University.
- Shizuo_Kakutani birthDate "1911-08-28".
- Shizuo_Kakutani birthPlace Osaka.