A measure on the space of smooth mappings and dynamical system theory

Masato TSUJII

doi:10.2969/jmsj/04430415

Masato TSUJII

著者情報

ジャーナルフリー

1992 年 44 巻 3 号 p. 415-425

DOI https://doi.org/10.2969/jmsj/04430415

詳細

Published: 1992 Received: 1990/10/25 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 論文サブタイトル訂正内容: Wrong : Dedicated to Professor Masahisa Adachi on his 60th birthday

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) R. Abraham, Lectures of Smale on Differential Topology, Columbia University.
2) M. Benedicks and L. Carleson, The dynamics of Hénon map, Ann. of Math. (2), 133 (1991), 73-169.
3) M. Golubitsky and V. Guillemin, Stable Mappings and Their Singularities, GTM 14, Springer, 1973.
4) M. R. Herman, Measure de Lebesgue et nombre de rotation, Lecture notes in Math., 597, Springer, 1977, pp. 271-293.
5) S. Newhouse, Diffeomorphisms with infinitely many sinks, Topology, 13 (1974), 9-18.
6) J. Palis and F. Takens, Homoclinic bifurcations and hyperbolic dynamics, Instituto de Matematica Pura e Aplicada, Rio de Janeiro.
7) A. V. Skorohod, Integration in Hilbert Space, Springer, 1974.
8) M. Tsujii, Weak regularity of Lyapunov exponent in one dimensional dynamics, preprint.
9) M. Tsujii, Rotation number and one parameter families of circle diffeomorphisms, preprint.
10) Y. Umemura, Measures on infinite dimensional vector spaces, Publ. Res. Inst. Math. Sci., 1 (1965), 1-47.

Right : [1] R. Abraham, Lectures of Smale on Differential Topology, Columbia University.
[2] M. Benedicks and L. Carleson, The dynamics of Hénon map, Ann. of Math. (2), 133 (1991), 73-169.
[3] M. Golubitsky and V. Guillemin, Stable Mappings and Their Singularities, GTM 14, Springer, 1973.
[4] M. R. Herman, Measure de Lebesgue et nombre de rotation, Lecture notes in Math., 597, Springer, 1977, pp. 271-293.
[5] S. Newhouse, Diffeomorphisms with infinitely many sinks, Topology, 13 (1974), 9-18.
[6] J. Palis and F. Takens, Homoclinic bifurcations and hyperbolic dynamics, Instituto de Matematica Pura e Aplicada, Rio de Janeiro.
[7] A. V. Skorohod, Integration in Hilbert Space, Springer, 1974.
[8] M. Tsujii, Weak regularity of Lyapunov exponent in one dimensional dynamics, preprint.
[9] M. Tsujii, Rotation number and one parameter families of circle diffeomorphisms, preprint.
[10] Y. Umemura, Measures on infinite dimensional vector spaces, Publ. Res. Inst. Math. Sci., 1 (1965), 1-47.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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