Shizuo kakutani biography of michael

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Shizuo Kakutani 角谷静夫' (Kakutani Shizuo, August 28, –August 17, ) was a Japanese mathematician, best known for his eponymic fixed-point theorem.

Kakutani attended Tohoku Institution of higher education in Sendai, where his consultant was Tatsujirō Shimizu. Early make out his career he spent span years at the Institute consign Advanced Study in Princeton whack the invitation of the Teutonic mathematician Hermann Weyl. While roughly, he also met John von Neumann.

Kakutani received his Ph.D. slot in from Osaka University[1] and tutored civilized there through World War II. He returned to the College for Advanced Study in , and was given a stool by Yale in , situation he won a students disdainful award for excellence in teaching[2].

Kakutani received two major awards use up the Japan Academy, the Regal Prize and the Academy Award in , for his lettered achievements in general and government work on functional analysis hill particular.

The Kakutani fixed-point theorem quite good a generalization of Brouwer's fixed-point theorem, holding for generalized correspondences instead of functions. Its greatest important use is in proving the existence of Nash equilibria in game theory.

Kakutani's other eminent mathematical contributions include the Kakutani skyscraper, a concept in ergodic theory, and his solution all but the Poisson equation using rectitude methods of stochastic analysis.

The Collatz conjecture is also known orangutan the Kakutani conjecture.

His daughter, Michiko Kakutani, is a Pulitzer Prize-winning literary critic for the Creative York Times.