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

Masato TSUJII

doi:10.2969/jmsj/04430415

Masato TSUJII

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JOURNAL FREE ACCESS

1992 Volume 44 Issue 3 Pages 415-425

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

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Published: 1992 Received: October 25, 1990 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to Professor Masahisa Adachi on his 60th birthday

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: 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.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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