메뉴 건너뛰기




Volumn , Issue 281, 2002, Pages

Random trees, Lévy processes and spatial branching processes

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33947725198     PISSN: 03031179     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article
Times cited : (279)

References (50)
  • 1
    • 0001981461 scopus 로고
    • The continuum random tree I
    • ALDOUS, D. (1991) The continuum random tree I. Ann. Probab. 19, 1-28.
    • (1991) Ann. Probab. , vol.19 , pp. 1-28
    • Aldous, D.1
  • 2
    • 0001812090 scopus 로고
    • The continuum random tree II: An overview
    • (M.T. Barlow, N.H. Bingham eds). Cambridge University Press, Cambridge
    • ALDOUS, D. (1991) The continuum random tree II: An overview. In: Stochastic Analysis (M.T. Barlow, N.H. Bingham eds), pp. 23-70. Cambridge University Press, Cambridge.
    • (1991) Stochastic Analysis , pp. 23-70
    • Aldous, D.1
  • 3
    • 0003296611 scopus 로고
    • The continuum random tree III
    • ALDOUS, D. (1993) The continuum random tree III. Ann. Probab. 21, 248-289.
    • (1993) Ann. Probab. , vol.21 , pp. 248-289
    • Aldous, D.1
  • 4
    • 0034560041 scopus 로고    scopus 로고
    • A random walk approach to Galton-Watson trees
    • BENNIES, J., KERSTING, G. (2000) A random walk approach to Galton-Watson trees. J. Theoret. Probab. 13, 777-803.
    • (2000) J. Theoret. Probab. , vol.13 , pp. 777-803
    • Bennies, J.1    Kersting, G.2
  • 5
    • 0003975247 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • BERTOIN, J. (1996) Lévy Processes. Cambridge University Press, Cambridge.
    • (1996) Lévy Processes
    • Bertoin, J.1
  • 6
    • 0016645863 scopus 로고
    • Fluctuation theory in continuous time
    • BINGHAM, N. (1975) Fluctuation theory in continuous time. Adv. Appl. Probab. 7, 705-766.
    • (1975) Adv. Appl. Probab. , vol.7 , pp. 705-766
    • Bingham, N.1
  • 7
    • 0030495559 scopus 로고    scopus 로고
    • On distribution tails and expectations of maxima in critical branching processes
    • BOROVKOV, K. A., VATUTIN, V. A. (1996) On distribution tails and expectations of maxima in critical branching processes. J. Appl. Probab. 33, 614-622.
    • (1996) J. Appl. Probab. , vol.33 , pp. 614-622
    • Borovkov, K.A.1    Vatutin, V.A.2
  • 10
    • 33747143123 scopus 로고    scopus 로고
    • A limit theorem for the contour process of conditioned Galton-Watson trees
    • to appear
    • DUQUESNE, T. (2001) A limit theorem for the contour process of conditioned Galton-Watson trees. Ann. Probab., to appear.
    • (2001) Ann. Probab.
    • Duquesne, T.1
  • 11
    • 84966220695 scopus 로고
    • Branching processes in simple random walk
    • DWASS, M. (1975) Branching processes in simple random walk. Proc. Amer. Math. Soc. 51, 251-274.
    • (1975) Proc. Amer. Math. Soc. , vol.51 , pp. 251-274
    • Dwass, M.1
  • 12
    • 0002218711 scopus 로고
    • A probabilistic approach to one class of nonlinear differential equations
    • DYNKIN, E.B. (1991) A probabilistic approach to one class of nonlinear differential equations. Probab. Th. Rel. Fields 89, 89-115.
    • (1991) Probab. Th. Rel. Fields , vol.89 , pp. 89-115
    • Dynkin, E.B.1
  • 15
    • 0004266188 scopus 로고    scopus 로고
    • University Lecture Series. American Math. Society, Providence
    • ETHERIDGE, A.M. (2000) An Introduction to Superprocesses. University Lecture Series vol. 20. American Math. Society, Providence.
    • (2000) An Introduction to Superprocesses , vol.20
    • Etheridge, A.M.1
  • 17
    • 84985378870 scopus 로고
    • The structure of reduced critical Galton-Watson processes
    • FLEISCHMANN, K., SIEGMUND-SCHULTZE, R. (1977) The structure of reduced critical Galton-Watson processes. Math. Nachr. 79, 233-241.
    • (1977) Math. Nachr. , vol.79 , pp. 233-241
    • Fleischmann, K.1    Siegmund-Schultze, R.2
  • 18
    • 0011591533 scopus 로고
    • Contour processes of random trees
    • (A. Etheridge ed.). London Math. Soc. Lect. Notes 216. Cambridge University Press, Cambridge
    • GEIGER, J. (1995) Contour processes of random trees. In: Stochastic Partial Differential Equations (A. Etheridge ed.). London Math. Soc. Lect. Notes 216, pp. 72-96. Cambridge University Press, Cambridge.
    • (1995) Stochastic Partial Differential Equations , pp. 72-96
    • Geiger, J.1
  • 19
    • 0009177395 scopus 로고    scopus 로고
    • On the contour of random trees
    • GITTENBERGER, B. (1999) On the contour of random trees. SIAM J. Discrete Math. 12, 434-458.
    • (1999) SIAM J. Discrete Math. , vol.12 , pp. 434-458
    • Gittenberger, B.1
  • 20
    • 0010191693 scopus 로고
    • Asymptotic behaviour of continuous time, continuous state-space branching processes
    • GREY, D.R. (1974) Asymptotic behaviour of continuous time, continuous state-space branching processes. J. Appl. Probab. 11, 669-677.
    • (1974) J. Appl. Probab. , vol.11 , pp. 669-677
    • Grey, D.R.1
  • 21
    • 0000248616 scopus 로고
    • On the convergence of sequence of branching processes
    • GRIMVALL, A. (1974) On the convergence of sequence of branching processes. Ann. Probab. 2, 1027-1945.
    • (1974) Ann. Probab. , vol.2 , pp. 1027-1945
    • Grimvall, A.1
  • 22
    • 26844496804 scopus 로고    scopus 로고
    • Marked excursions and random trees
    • Séminaire de Probabilités XXXIV. Springer
    • HOBSON, D.G. (2000) Marked excursions and random trees. Séminaire de Probabilités XXXIV. Lecture Notes Math. 1729, pp. 289-301. Springer.
    • (2000) Lecture Notes Math. , vol.1729 , pp. 289-301
    • Hobson, D.G.1
  • 23
    • 4243102093 scopus 로고
    • Théorèmes limites pour les processus
    • Springer, Berlin
    • JACOD, J. (1985) Théorèmes limites pour les processus. Lecture Notes in Math. 1117, 298-409. Springer, Berlin.
    • (1985) Lecture Notes in Math. , vol.1117 , pp. 298-409
    • Jacod, J.1
  • 25
    • 84980083679 scopus 로고
    • On solutions of Δu = f(u)
    • KELLER, J.B. (1957) On solutions of Δu = f(u). Comm. Pure Appl. Math. 10, 503-510.
    • (1957) Comm. Pure Appl. Math. , vol.10 , pp. 503-510
    • Keller, J.B.1
  • 27
    • 0000543522 scopus 로고
    • The limit of a sequence of branching processes
    • LAMPERTI, J. (1967) The limit of a sequence of branching processes. Z. Wahrsch. verw. Gebiete 7, 271-288.
    • (1967) Z. Wahrsch. Verw. Gebiete , vol.7 , pp. 271-288
    • Lamperti, J.1
  • 28
    • 21144484919 scopus 로고
    • A class of path-valued Markov processes and its applications to superprocesses
    • LE GALL, J.F. (1993) A class of path-valued Markov processes and its applications to superprocesses. Probab. Th. Rel. Fields 95, 25-46.
    • (1993) Probab. Th. Rel. Fields , vol.95 , pp. 25-46
    • Le Gall, J.F.1
  • 29
    • 0013198032 scopus 로고
    • Hitting probabilities and potential theory for the Brownian path-valued process
    • LE GALL, J.F. (1994) Hitting probabilities and potential theory for the Brownian path-valued process. Ann. Inst. Fourier 44, 277-306.
    • (1994) Ann. Inst. Fourier , vol.44 , pp. 277-306
    • Le Gall, J.F.1
  • 32
    • 0032348696 scopus 로고    scopus 로고
    • Branching processes in Lévy processes: The exploration process
    • LE GALL, J.F., LE JAN, Y. (1998) Branching processes in Lévy processes: The exploration process. Ann. Probab. 26, 213-252.
    • (1998) Ann. Probab. , vol.26 , pp. 213-252
    • Le Gall, J.F.1    Le Jan, Y.2
  • 33
    • 0041179393 scopus 로고    scopus 로고
    • Branching processes in Lévy processes: Laplace functional of snakes and superprocesses
    • LE GALL, J.F., LE JAN, Y. (1998) Branching processes in Lévy processes: Laplace functional of snakes and superprocesses. Ann. Probab. 26, 1407-1432.
    • (1998) Ann. Probab. , vol.26 , pp. 1407-1432
    • Le Gall, J.F.1    Le Jan, Y.2
  • 34
    • 21344440726 scopus 로고
    • The Hausdorff measure of the support of two-dimensional super-Brownian motion
    • LE GALL, J.F., PERKINS, E.A. (1995) The Hausdorff measure of the support of two-dimensional super-Brownian motion. Ann. Probab. 23, 1719-1747.
    • (1995) Ann. Probab. , vol.23 , pp. 1719-1747
    • Le Gall, J.F.1    Perkins, E.A.2
  • 35
    • 0035538465 scopus 로고    scopus 로고
    • A LIFO queue in heavy traffic
    • LIMIC, V. (2001) A LIFO queue in heavy traffic. Ann. Appl. Probab. 11, 301-331.
    • (2001) Ann. Appl. Probab. , vol.11 , pp. 301-331
    • Limic, V.1
  • 37
    • 51249191116 scopus 로고
    • On a certain class of infinitely divisible distributions
    • MEJZLER, D. (1973) On a certain class of infinitely divisible distributions. Israel J. Math. 16, 1-19.
    • (1973) Israel J. Math. , vol.16 , pp. 1-19
    • Mejzler, D.1
  • 39
    • 0009233862 scopus 로고
    • The branching process in a Brownian excursion
    • Séminaire de Probabilités XXIII. Springer
    • NEVEU, J., PITMAN, J.W. (1989) The branching process in a Brownian excursion. Séminaire de Probabilités XXIII. Lecture Notes Math. 1372, pp. 248-257. Springer.
    • (1989) Lecture Notes Math. , vol.1372 , pp. 248-257
    • Neveu, J.1    Pitman, J.W.2
  • 41
    • 84972521660 scopus 로고
    • On the inequality Δu ≥ f(u)
    • OSSERMAN, R. (1957) On the inequality Δu ≥ f(u). Pac. J. Math. 7, 1641-1647.
    • (1957) Pac. J. Math. , vol.7 , pp. 1641-1647
    • Osserman, R.1
  • 42
    • 9944238320 scopus 로고
    • Brownian local times and branching processes
    • Séminaire de Probabilités XVIII. Springer
    • ROGERS, L.C.G. (1984) Brownian local times and branching processes. Séminaire de Probabilités XVIII. Lecture Notes Math. 1059, pp. 42-55. Springer.
    • (1984) Lecture Notes Math. , vol.1059 , pp. 42-55
    • Rogers, L.C.G.1
  • 43
    • 0040316867 scopus 로고    scopus 로고
    • On the conditioned exit measures of super-Brownian motion
    • SALISBURY, T.S., VERZANI, F. (1999) On the conditioned exit measures of super-Brownian motion. Probab. Th. Rel. Fields 115, 237-285.
    • (1999) Probab. Th. Rel. Fields , vol.115 , pp. 237-285
    • Salisbury, T.S.1    Verzani, F.2
  • 44
    • 0042207578 scopus 로고    scopus 로고
    • Non-degenerate conditionings of the exit measures of super-Brownian motion
    • SALISBURY, T.S., VERZANI, F. (2000) Non-degenerate conditionings of the exit measures of super-Brownian motion. Stach. Process. Appl. 87, 25-52.
    • (2000) Stach. Process. Appl. , vol.87 , pp. 25-52
    • Salisbury, T.S.1    Verzani, F.2
  • 45
    • 0010931534 scopus 로고
    • Asymptotic behavior of superprocesses
    • SHEU, Y.C. (1994) Asymptotic behavior of superprocesses. Stochastics Stoch. Reports 49, 239-252.
    • (1994) Stochastics Stoch. Reports , vol.49 , pp. 239-252
    • Sheu, Y.C.1
  • 46
    • 0000683243 scopus 로고
    • Limit theorems for stochastic processes with independent increments
    • SKOROKHOD (1957) Limit theorems for stochastic processes with independent increments. Theory Probab. Appl. 2, 138-171.
    • (1957) Theory Probab. Appl. , vol.2 , pp. 138-171
    • Skorokhod1
  • 47
    • 0001360104 scopus 로고
    • A branching process with mean one and possibly infinite variance
    • SLACK, R.S. (1968) A branching process with mean one and possibly infinite variance. Z. Wahrsch. verw. Gebiete 9, 139-145.
    • (1968) Z. Wahrsch. Verw. Gebiete , vol.9 , pp. 139-145
    • Slack, R.S.1
  • 48
    • 84944687013 scopus 로고
    • Limit theorems for critical Markov branching processes with several types of particles and infinite second moments
    • VATUTIN, V.A. (1977) Limit theorems for critical Markov branching processes with several types of particles and infinite second moments. Math. USSR Sbornik 32, 215-225.
    • (1977) Math. USSR Sbornik , vol.32 , pp. 215-225
    • Vatutin, V.A.1
  • 49
    • 0001623816 scopus 로고
    • Reduced branching processes
    • YAKYMIV, A.L. (1980) Reduced branching processes. Theory Probab. Appl. 25, 584-588.
    • (1980) Theory Probab. Appl. , vol.25 , pp. 584-588
    • Yakymiv, A.L.1
  • 50
    • 0000809484 scopus 로고
    • Limit distributions of the distance to the closest common ancestor
    • ZUBKOV, A.M. (1975) Limit distributions of the distance to the closest common ancestor. Theory Probab. Appl. 20, 602-612.
    • (1975) Theory Probab. Appl. , vol.20 , pp. 602-612
    • Zubkov, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.