On a construction of a recurrent potential kernel by mean of time change and killing

Yoichi OSHIMA

doi:10.2969/jmsj/02910151

Yoichi OSHIMA

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JOURNAL FREE ACCESS

1977 Volume 29 Issue 1 Pages 151-159

DOI https://doi.org/10.2969/jmsj/02910151

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Published: 1977 Received: February 14, 1976 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) J. Azèma, M. Duflo et D. Revuz, Récurrence fine des processes de Markov, Ann. Inst. H. Poincaré, 2 (1966), 185-200.
2) J. Azèma, M. Duflo et D. Revuz, Mesure invariante sur les classes récurrentes des processus de Markov, Z. Wahrscheinlichkeitstheorie und verve. Gebiete, 8 (1967), 157-181.
3) F. Bertein et C. Cocozza, Sur les opérateurs potentiels des processus de Harris, C.R. Acad. Sci. Paris, 280 (1975), 1547-1550.
4) R. M. Blumenthal and R. K. Getoor, Additive functionals of Markov processes in duality, Trans. Amer. Math. Soc., 112 (1964), 131-163.
5) R. M. Blumenthal and R. K. Getoor, Markov processes and Potential theory, Academic Press, 1968.
6) M. Duflo, Opérateurs potentiels des chaines et des processus de Markov irréductibles, Bull. Soc. Math. France., 98 (1970), 127-163.
7) R. K. Getoor, Multiplicative functionals of dual processes, Ann. Inst. Fourier (Grenoble), 21 (1971), 43-83.
8) K. Ito and H. P. McKean, Jr., Diffusion processes and their sample paths, Springer, 1965.
9) R. Kondo, On weak potential operators for recurrent Markov processes, J. Math. Kyoto Univ., 11 (1971), 11-44.
10) M. Nagasawa and K. Sato, Some theorems on time change and killing of Markov processes, Kodai Math. Sem. Rep., 15 (1963), 195-219.
11) J. Neveu, Potentiel Markovien récurrent des chaines de Harris, Ann. Inst. Fourier (Grenoble), 22 (1972), 85-130.
12) D. Revuz, Mesures associées aux fonctionnelles additives de Markov, Trans. Amer. Math. Soc., 148 (1970), 501-531.
13) D. Revuz, Sur la théorie du potentiel pour les processus de Markov récurrents, Ann. Inst. Fourier (Grenoble), 21 (1971), 245-262.

Right : [1] J. Azèma, M. Duflo et D. Revuz, Récurrence fine des processes de Markov, Ann. Inst. H. Poincaré, 2 (1966), 185-200.
[2] J. Azèma, M. Duflo et D. Revuz, Mesure invariante sur les classes récurrentes des processus de Markov, Z. Wahrscheinlichkeitstheorie und verw. Gebiete, 8 (1967), 157-181.
[3] F. Bertein et C. Cocozza, Sur les opérateurs potentiels des processus de Harris, C. R. Acad. Sci. Paris, 280 (1975), 1547-1550.
[4] R. M. Blumenthal and R. K. Getoor, Additive functionals of Markov processes in duality, Trans. Amer. Math. Soc., 112 (1964), 131-163.
[5] R. M. Blumenthal and R. K. Getoor, Markov processes and Potential theory, Academic Press, 1968.
[6] M. Duflo, Opérateurs potentiels des chaines et des processus de Markov irréductibles, Bull. Soc. Math. France., 98 (1970), 127-163.
[7] R. K. Getoor, Multiplicative functionals of dual processes, Ann. Inst. Fourier (Grenoble), 21 (1971), 43-83.
[8] K. Ito and H. P. McKean, Jr., Diffusion processes and their sample paths, Springer, 1965.
[9] R. Kondo, On weak potential operators for recurrent Markov processes, J. Math. Kyoto Univ., 11 (1971), 11-44.
[10] M. Nagasawa and K. Sato, Some theorems on time change and killing of Markov processes, Kodai Math. Sem. Rep., 15 (1963), 195-219.
[11] J. Neveu, Potentiel Markovien récurrent des chaines de Harris, Ann. Inst. Fourier (Grenoble), 22 (1972), 85-130.
[12] D. Revuz, Mesures associées aux fonctionnelles additives de Markov, Trans. Amer. Math. Soc., 148 (1970), 501-531.
[13] D. Revuz, Sur la théorie du potentiel pour les processus de Markov récurrents, Ann. Inst. Fourier (Grenoble), 21 (1971), 245-262.

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

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