Some properties for the measure-valued branching diffusion processes

Sadao SUGITANI

doi:10.2969/jmsj/04130437

Sadao SUGITANI

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JOURNAL FREE ACCESS

1989 Volume 41 Issue 3 Pages 437-462

DOI https://doi.org/10.2969/jmsj/04130437

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Published: 1989 Received: September 25, 1987 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: CITATION Details: Wrong : 1) D. A. Dawson, The critical measure diffusion processes, Z. Wahr. Verw. Geb., 40 (1977), 125-145.
2) N. Ikeda and S. Watanabe, Stochastic differential equations and diffusion processes, North-Holland/Kodansha, 1981.
3) I. Iscoe, A weighted occupation time for a class of measure-valued branching processes, Probab. Theory Related Fields, 71 (1986), 85-116.
4) K. Kobayashi, T. Shirao and H. Tanaka, On the growing up problem for semilinear heat equations, J. Math. Soc. Japan, 29 (1977), 407-424.
5) N. Konno and T. Shiga, Stochastic partial differential equations for some measure- valued diffusions, to appear in Probab. Theory Related Fields, 1988.
6) H. Totoki, A method of construction of measures on function spaces and its applications to stochastic processes, Mem. Fac. Sci. Kyushu Univ. Ser. A, 15 (1961), 178-191.
7) S. Watanabe, A limit theorem of branching processes and continuous state branch ing processes, J. Math. Kyoto Univ., 8 (1968), 141-167.

Right : [1] D. A. Dawson, The critical measure diffusion processes, Z. Wahr. Verw. Geb., 40 (1977), 125-145.
[2] N. Ikeda and S. Watanabe, Stochastic differential equations and diffusion processes, North-Holland/Kodansha, 1981.
[3] I. Iscoe, A weighted occupation time for a class of measure-valued branching processes, Probab. Theory Related Fields, 71 (1986), 85-116.
[4] K. Kobayashi, T. Shirao and H. Tanaka, On the growing up problem for semilinear heat equations, J. Math. Soc. Japan, 29 (1977), 407-424.
[5] N. Konno and T. Shiga, Stochastic partial differential equations for some measure-valued diffusions, to appear in Probab. Theory Related Fields, 1988.
[6] H. Totoki, A method of construction of measures on function spaces and its applications to stochastic processes, Mem. Fac. Sci. Kyushu Univ. Ser. A, 15 (1961), 178-191.
[7] S. Watanabe, A limit theorem of branching processes and continuous state branch ing processes, J. Math. Kyoto Univ., 8 (1968), 141-167.

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

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