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Volumn 10, Issue 4, 1997, Pages 307-332

Boundedness of one-dimensional branching Markov processes

Author keywords

Boundedness; Branching Diffusion; Branching Jump Markov Process; Branching Markov Process; Generator; Green Measure; Green Operator

Indexed keywords


EID: 0000316668     PISSN: 10489533     EISSN: 16872177     Source Type: Journal    
DOI: 10.1155/S1048953397000397     Document Type: Article
Times cited : (5)

References (20)
  • 2
    • 0007633320 scopus 로고
    • The first and last birth problems for a multitype age-dependent branching process
    • Biggins, J.D., The first and last birth problems for a multitype age-dependent branching process, Adv. Appl. Prob. 8 (1976), 446-459.
    • (1976) Adv. Appl. Prob. , vol.8 , pp. 446-459
    • Biggins, J.D.1
  • 3
    • 0002779278 scopus 로고    scopus 로고
    • How fast does a general branching random walk spread?
    • ed. by K.B. Athreya and P. Jagers, IMA Volumes in Mathematics and its Applications 84, Springer, New York
    • Biggins, J.D., How fast does a general branching random walk spread?, In: Classical and Modern Branching Processes, (ed. by K.B. Athreya and P. Jagers), IMA Volumes in Mathematics and its Applications 84, Springer, New York (1996), 19-40.
    • (1996) Classical and Modern Branching Processes , pp. 19-40
    • Biggins, J.D.1
  • 6
    • 0001417178 scopus 로고
    • Superprocesses and partial differential equations
    • Dynkin, E.B., Superprocesses and partial differential equations, Ann. Prob. 21 (1993), 1185-1262.
    • (1993) Ann. Prob. , vol.21 , pp. 1185-1262
    • Dynkin, E.B.1
  • 8
    • 84972541408 scopus 로고
    • Generalized second order differential operators and their lateral conditions
    • Feller, W., Generalized second order differential operators and their lateral conditions, Illinois J. Math. 1 (1957), 459-504.
    • (1957) Illinois J. Math. , vol.1 , pp. 459-504
    • Feller, W.1
  • 9
    • 0001658352 scopus 로고
    • Postulates for subadditive processes
    • Hammersley, J.M., Postulates for subadditive processes, Ann. Prob. 2 (1974), 652-680.
    • (1974) Ann. Prob. , vol.2 , pp. 652-680
    • Hammersley, J.M.1
  • 12
    • 0039046947 scopus 로고
    • The branching diffusion, stochastic equations and traveling wave solutions to the equations of Kolmogorov-Petrovskii-Piskunov
    • ed. by N. Boccara, E. Goles, S. Martinez and P. Picco, Kluwer, Dordrecht
    • Karpelevich, F.I., Kelbert, M.Ya. and Suhov, Yu.M., The branching diffusion, stochastic equations and traveling wave solutions to the equations of Kolmogorov-Petrovskii-Piskunov, In: Cellular Automata and Cooperative Systems (ed. by N. Boccara, E. Goles, S. Martinez and P. Picco), Kluwer, Dordrecht (1993), 343-366.
    • (1993) Cellular Automata and Cooperative Systems , pp. 343-366
    • Karpelevich, F.I.1    Kelbert, M.Ya.2    Suhov, Yu.M.3
  • 14
    • 0039046945 scopus 로고    scopus 로고
    • A criterion of boundedness of discrete branching random walk
    • ed. by K.B. Athreya and P. Jagers, IMA Volumes in Mathematics and its Applications 84, Springer, New York
    • Karpelevich, F.I. and Suhov, Yu.M., A criterion of boundedness of discrete branching random walk, In: Classical and Modern Branching Processes (ed. by K.B. Athreya and P. Jagers), IMA Volumes in Mathematics and its Applications 84, Springer, New York (1996), 141-156.
    • (1996) Classical and Modern Branching Processes , pp. 141-156
    • Karpelevich, F.I.1    Suhov, Yu.M.2
  • 15
    • 0000174307 scopus 로고
    • The first birth problem for an age-dependent branching process
    • Kingman, J.F.C., The first birth problem for an age-dependent branching process, Ann. Prob. 3 (1975), 790-801.
    • (1975) Ann. Prob. , vol.3 , pp. 790-801
    • Kingman, J.F.C.1
  • 16
    • 0038057964 scopus 로고
    • Limit theorems for the frontier of a one-dimensional branching diffusion
    • Lalley, S. and Sellke, T., Limit theorems for the frontier of a one-dimensional branching diffusion, Ann. Prob. 20 (1992), 1310-1340.
    • (1992) Ann. Prob. , vol.20 , pp. 1310-1340
    • Lalley, S.1    Sellke, T.2
  • 17
    • 0031516362 scopus 로고    scopus 로고
    • Hyperbolic branching Brownian motion
    • Lalley, S. and Sellke, T., Hyperbolic branching Brownian motion, Prob. Theory Related Field 108 (1997), 171-192.
    • (1997) Prob. Theory Related Field , vol.108 , pp. 171-192
    • Lalley, S.1    Sellke, T.2
  • 18
    • 84980187449 scopus 로고
    • Application of Brownian motion to the equation of Kolmogorov-Petrovskii-Piskunov
    • McKean, H.P., Application of Brownian motion to the equation of Kolmogorov-Petrovskii-Piskunov, Comm. Pure Appl. Math. 28 (1975), 323-331.
    • (1975) Comm. Pure Appl. Math. , vol.28 , pp. 323-331
    • McKean, H.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.