A certain class of infinite dimensional diffusion processes arising in population genetics

Tokuzo SHIGA

doi:10.2969/jmsj/03910017

Tokuzo SHIGA

著者情報

ジャーナルフリー

1987 年 39 巻 1 号 p. 17-25

DOI https://doi.org/10.2969/jmsj/03910017

詳細

Published: 1987 Received: 1985/06/10 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: 引用文献情報訂正内容: Wrong : 1) S. N. Ethier, A class of infinite dimensional diffusions occurring in population genetics, Indiana Univ. Math. J., 30 (1981), 925-935.
2) J. H. Gillespie, Natural selection for within-generation variance in offspring number, Genetics, 76 (1974), 601-606.
3) N. Ikeda and S. Watanabe, Stochastic differential equations and diffusion processes, North-Holland/Kodansha, 1981.
4) N. Okada, On the uniqueness problem of two dimensional diffusion processes occurring in population genetics, Z. Wahr. Verw. Geb., 56 (1981), 63-74.
5) K. Sato, Convergence to a diffusion of a multi-allelic model in population genetics, Adv. Appl. Prob., 10 (1978), 538-562.
6) T. Shiga and A. Shimizu, Infinite dimensional stochastic differential equations and their applications, J. Math. Kyoto Univ., 20 (1980), 395-416.
7) T. Shiga, Diffusion processes in population genetics, J. Math. Kyoto Univ., 21 (1981), 133-151.
8) T. Shiga, Continuous time multi-allelic stepping stone models in population genetics, J. Math. Kyoto Univ., 22 (1982), 1-40.
9) T. Yamada and S. Watanabe, On the uniqueness of solutions of stochastic differential equations, J. Math. Kyoto Univ., 11 (1971), 155-167.

Right : [1] S. N. Ethier, A class of infinite dimensional diffusions occurring in population genetics, Indiana Univ. Math. J., 30 (1981), 925-935.
[2] J. H. Gillespie, Natural selection for within-generation variance in offspring number, Genetics, 76 (1974), 601-606.
[3] N. Ikeda and S. Watanabe, Stochastic differential equations and diffusion processes, North-Holland/Kodansha, 1981.
[4] N. Okada, On the uniqueness problem of two dimensional diffusion processes occurring in population genetics, Z. Wahr. Verw. Geb., 56 (1981), 63-74.
[5] K. Sato, Convergence to a diffusion of a multi-allelic model in population genetics, Adv. Appl. Prob., 10 (1978), 538-562.
[6] T. Shiga and A. Shimizu, Infinite dimensional stochastic differential equations and their applications, J. Math. Kyoto Univ., 20 (1980), 395-416.
[7] T. Shiga, Diffusion processes in population genetics, J. Math. Kyoto Univ., 21 (1981), 133-151.
[8] T. Shiga, Continuous time multi-allelic stepping stone models in population genetics, J. Math. Kyoto Univ., 22 (1982), 1-40.
[9] T. Yamada and S. Watanabe, On the uniqueness of solutions of stochastic differential equations, J. Math. Kyoto Univ., 11 (1971), 155-167.

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

責任著者(Corresponding author)

訂正情報

J-STAGEへの登録はこちら（無料）