메뉴 건너뛰기




Volumn 114, Issue 3, 1999, Pages 309-399

Rescaled contact processes converge to super-Brownian motion in two or more dimensions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0038979178     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050228     Document Type: Article
Times cited : (56)

References (27)
  • 2
    • 0001032409 scopus 로고
    • Statistical mechanics of crab grass
    • Bramson, M., Durrett, R., Swindle, G.: Statistical mechanics of crab grass. Ann. Prob., 17, 444-481 (1989)
    • (1989) Ann. Prob. , vol.17 , pp. 444-481
    • Bramson, M.1    Durrett, R.2    Swindle, G.3
  • 3
    • 0004256573 scopus 로고
    • Addison-Wesley, Reading, Mass
    • Breiman, L.: Probability. Addison-Wesley, Reading, Mass (1968)
    • (1968) Probability
    • Breiman, L.1
  • 4
    • 21144473168 scopus 로고
    • Estimating the critical values of stochastic growth models
    • Buttel L., Cox, T., Durrett, R.: Estimating the critical values of stochastic growth models. J. Appl. Prob., 30, 445-461 (1993)
    • (1993) J. Appl. Prob. , vol.30 , pp. 445-461
    • Buttel, L.1    Cox, T.2    Durrett, R.3
  • 5
    • 84984314208 scopus 로고
    • Geostochastic calculus
    • Dawson, D.A.: Geostochastic calculus. Can. J. Statistics, 6, 143-168 (1978)
    • (1978) Can. J. Statistics , vol.6 , pp. 143-168
    • Dawson, D.A.1
  • 6
    • 0002275662 scopus 로고
    • Measure-valued Markov processes
    • Ecole d'été de Probabilités de St. Flour, Springer, New York
    • Dawson, D.A.: Measure-valued Markov processes. Pages 1-260 in Ecole d'été de Probabilités de St. Flour, XXI Lecture Notes in Math 1541, Springer, New York (1993)
    • (1993) XXI Lecture Notes in Math , vol.1541 , pp. 1-260
    • Dawson, D.A.1
  • 8
    • 0001892380 scopus 로고
    • A new method for proving the existence of phase transitions
    • Edited by K.S. Alexander and J.C. Watkins. Birkhauser, Boston
    • Durrett, R.: A new method for proving the existence of phase transitions. Pages 141-170 in Spatial Stochastic Processes Edited by K.S. Alexander and J.C. Watkins. Birkhauser, Boston (1992a)
    • (1992) Spatial Stochastic Processes , pp. 141-170
    • Durrett, R.1
  • 9
    • 0002492146 scopus 로고
    • The contact process: 1974-89
    • Edited by W. Kohler and B. White. American Math. Society, Providence, RI
    • Durrett, R.: The contact process: 1974-89. Pages 1-18 in Mathematics of Random Media Edited by W. Kohler and B. White. American Math. Society, Providence, RI (1992b)
    • (1992) Mathematics of Random Media , pp. 1-18
    • Durrett, R.1
  • 11
    • 0002758518 scopus 로고
    • Ten lectures on particle systems
    • Ecole d'été de Probabilités de St. Flour, Springer, New York
    • Durrett, R.: Ten lectures on particle systems. Pages 97-201 in Ecole d'été de Probabilités de St. Flour, XXIII Lecture Notes in Math 1608, Springer, New York (1995b)
    • (1995) XXIII Lecture Notes in Math , vol.1608 , pp. 97-201
    • Durrett, R.1
  • 13
    • 0001658655 scopus 로고
    • Measure-valued branching diffusions with singular interactions
    • Evans, S.N., Perkins, E.: Measure-valued branching diffusions with singular interactions. Can. J. Math., 46, 120-168 (1994)
    • (1994) Can. J. Math. , vol.46 , pp. 120-168
    • Evans, S.N.1    Perkins, E.2
  • 14
    • 51849181398 scopus 로고
    • Construction and regularity of measure-valued Markov branching processes
    • Fitzsimmons, P.J.: Construction and regularity of measure-valued Markov branching processes. Israel J. Math., 64, 337-361 (1988)
    • (1988) Israel J. Math. , vol.64 , pp. 337-361
    • Fitzsimmons, P.J.1
  • 15
    • 0000829680 scopus 로고
    • Contact interactions on a lattice
    • Harris, T.: Contact interactions on a lattice. Ann. Prob., 2, 969-988 (1974)
    • (1974) Ann. Prob. , vol.2 , pp. 969-988
    • Harris, T.1
  • 16
    • 0000359562 scopus 로고
    • The survival of contact processes
    • Holley, R., Liggett, T.: The survival of contact processes. Ann. Prob., 6, 198-206 (1978)
    • (1978) Ann. Prob. , vol.6 , pp. 198-206
    • Holley, R.1    Liggett, T.2
  • 17
    • 0001697963 scopus 로고
    • Stochastic processes and population growth
    • Kendall, D.: Stochastic processes and population growth. J. of the Roy. Stat. Soc., 11, 230-264 (1949)
    • (1949) J. of the Roy. Stat. Soc. , vol.11 , pp. 230-264
    • Kendall, D.1
  • 18
    • 0039639136 scopus 로고
    • A sharper form of the Doeblin-Levy-Kolmogorov-Rogozin inequality for concentration functions
    • Kesten, H.: A sharper form of the Doeblin-Levy-Kolmogorov-Rogozin inequality for concentration functions. Math. Scand., 25, 133-144 (1969)
    • (1969) Math. Scand. , vol.25 , pp. 133-144
    • Kesten, H.1
  • 20
    • 0000535030 scopus 로고
    • Stochastic differential equations for some measure-valued diffusions
    • Konno, N., Shiga, T.: Stochastic differential equations for some measure-valued diffusions. Prob. Theory Rel. Fields, 79, 201-225 (1988)
    • (1988) Prob. Theory Rel. Fields , vol.79 , pp. 201-225
    • Konno, N.1    Shiga, T.2
  • 22
    • 0001277458 scopus 로고
    • Improved upper bounds for the contact process critical value
    • Liggett, T.: Improved upper bounds for the contact process critical value. Ann. Prob., 23, 697-723 (1995)
    • (1995) Ann. Prob. , vol.23 , pp. 697-723
    • Liggett, T.1
  • 23
    • 21844493300 scopus 로고
    • A phase transition for a stochastic PDE related to the contact process
    • Mueller, C., Tribe, R.: A phase transition for a stochastic PDE related to the contact process. Prob. Theory Rel. Fields, 100, 131-156 (1994)
    • (1994) Prob. Theory Rel. Fields , vol.100 , pp. 131-156
    • Mueller, C.1    Tribe, R.2
  • 24
    • 21844524825 scopus 로고
    • Stochastic PDE's arising from the long range contact process and long range voter model
    • Mueller, C., Tribe, R.: Stochastic PDE's arising from the long range contact process and long range voter model. Prob. Theory Rel. Fields, 102, 519-546 (1995)
    • (1995) Prob. Theory Rel. Fields , vol.102 , pp. 519-546
    • Mueller, C.1    Tribe, R.2
  • 25
    • 0000474237 scopus 로고
    • One dimensional stochastic partial differential equations and the branching measure diffusion
    • Reimers, M.: One dimensional stochastic partial differential equations and the branching measure diffusion. Prob. Theory Rel. Fields, 81, 319-340 (1989)
    • (1989) Prob. Theory Rel. Fields , vol.81 , pp. 319-340
    • Reimers, M.1
  • 27
    • 0000659593 scopus 로고
    • An introduction to stochastic partial differential equations
    • Ecole d'été de Probabilités de St. Flour, Springer, New York
    • Walsh, J.: An introduction to stochastic partial differential equations. Pages 265-439 in Ecole d'été de Probabilités de St. Flour, XIV Lecture Notes in Math 1180, Springer, New York (1986)
    • (1986) XIV Lecture Notes in Math , vol.1180 , pp. 265-439
    • Walsh, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.