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Volumn 47, Issue 2, 2004, Pages 280-297

Super-Brownian motion and critical spatial stochastic systems

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EID: 2942541150     PISSN: 00084395     EISSN: None     Source Type: Journal    
DOI: 10.4153/CMB-2004-028-2     Document Type: Article
Times cited : (7)

References (32)
  • 1
    • 0003029969 scopus 로고
    • Théorie de la spéculation
    • Thèse Paris
    • L. Bachelier, Théorie de la spéculation. Thèse Paris, Ann. École Norm. Sup. (3) 17(1900), 21-86.
    • (1900) Ann. École Norm. Sup. (3) , vol.17 , pp. 21-86
    • Bachelier, L.1
  • 2
    • 0000860524 scopus 로고
    • On the filtration of historical brownian motion
    • M. Barlow and E. Perkins, On the filtration of historical Brownian motion. Ann. Probab. 22(1994), 1273-1294.
    • (1994) Ann. Probab. , vol.22 , pp. 1273-1294
    • Barlow, M.1    Perkins, E.2
  • 3
    • 0035562830 scopus 로고    scopus 로고
    • Super-brownian limits of voter model clusters
    • M. Bramson, T. Cox and J.-F. Le Gall, Super-Brownian limits of voter model clusters. Ann. Probab. 29(2001), 1001-1032.
    • (2001) Ann. Probab. , vol.29 , pp. 1001-1032
    • Bramson, M.1    Cox, T.2    Le Gall, J.-F.3
  • 4
  • 6
    • 0004256573 scopus 로고
    • Addison-Wesley, Reading
    • L. Breiman, Probability. Addison-Wesley, Reading, 1968.
    • (1968) Probability
    • Breiman, L.1
  • 8
    • 0034336982 scopus 로고    scopus 로고
    • Rescaled voter models converge to super-brownian motion
    • T. Cox, R. Durrett and E. Perkins, Rescaled voter models converge to super-Brownian motion. Ann. Probab. 28(2000), 185-234.
    • (2000) Ann. Probab. , vol.28 , pp. 185-234
    • Cox, T.1    Durrett, R.2    Perkins, E.3
  • 10
    • 0000636614 scopus 로고
    • The critical measure diffusion
    • D. Dawson, The critical measure diffusion. Z. Wahrsch. Verw. Gebiete 40(1977), 125-145.
    • (1977) Z. Wahrsch. Verw. Gebiete , vol.40 , pp. 125-145
    • Dawson, D.1
  • 12
    • 0032362767 scopus 로고    scopus 로고
    • The scaling limit of lattice trees in high dimensions
    • E. Derbez and G. Slade, The scaling limit of lattice trees in high dimensions. Comm. Math. Phys. 193(1998), 69-104.
    • (1998) Comm. Math. Phys. , vol.193 , pp. 69-104
    • Derbez, E.1    Slade, G.2
  • 13
    • 0001813888 scopus 로고
    • An invariance principle for certain probability limit theorems
    • M. Donsker, An invariance principle for certain probability limit theorems. Mem. Amer. Math. Soc. 6, 1951.
    • (1951) Mem. Amer. Math. Soc. , vol.6
    • Donsker, M.1
  • 14
    • 0038979178 scopus 로고    scopus 로고
    • Rescaled contact processes converge to super-brownian motion for d ≥ 2
    • R. Durrett and E. Perkins, Rescaled contact processes converge to super-Brownian motion for d ≥ 2. Probab. Theory Related Fields 114(1999), 309-399.
    • (1999) Probab. Theory Related Fields , vol.114 , pp. 309-399
    • Durrett, R.1    Perkins, E.2
  • 15
    • 0037650454 scopus 로고    scopus 로고
    • Diffusions, superdiffusions and partial differential equations
    • Amer. Math Soc., Providence
    • E. Dynkin, Diffusions, Superdiffusions and Partial Differential Equations. Amer. Math. Soc. Colloq. Publ. 50, Amer. Math Soc., Providence, 2002.
    • (2002) Amer. Math. Soc. Colloq. Publ. , vol.50
    • Dynkin, E.1
  • 17
    • 0037402965 scopus 로고    scopus 로고
    • Convergence of critical oriented percolation to super-brownian motion above 4+1 dimensions
    • R. van der Hofstad and G. Slade, Convergence of critical oriented percolation to super-Brownian motion above 4+1 dimensions. Ann. Inst H. Poincaré Probab. Statist. 39(2003), 413-485.
    • (2003) Ann. Inst H. Poincaré Probab. Statist. , vol.39 , pp. 413-485
    • Van der Hofstad, R.1    Slade, G.2
  • 18
    • 0002473053 scopus 로고
    • A weighted occupation time for a class of measure-valued branching processes
    • I. Iscoe, A weighted occupation time for a class of measure-valued branching processes. Probab. Theory Related Fields 16(1986), 85-116.
    • (1986) Probab. Theory Related Fields , vol.16 , pp. 85-116
    • Iscoe, I.1
  • 19
    • 0039769080 scopus 로고
    • On a stochastic integral equation
    • K. Itô, On a stochastic integral equation. Proc. Imp. Acad. Tokyo 22(1946), 32-35.
    • (1946) Proc. Imp. Acad. Tokyo , vol.22 , pp. 32-35
    • Itô, K.1
  • 20
    • 0000535030 scopus 로고
    • Stochastic differential equations for some measure-valued diffusions
    • N. Konno and T. Shiga, Stochastic differential equations for some measure-valued diffusions. Probab. Theory Related Fields 78(1988), 201-225.
    • (1988) Probab. Theory Related Fields , vol.78 , pp. 201-225
    • Konno, N.1    Shiga, T.2
  • 22
    • 21344440726 scopus 로고
    • The Hausdorff measure of the support of two-dimensional super-brownian motion
    • J.-F. Le Gall and E. Perkins, The Hausdorff measure of the support of two-dimensional super-Brownian motion. Ann. Probab. 23(1995), 1719-1747.
    • (1995) Ann. Probab. , vol.23 , pp. 1719-1747
    • Le Gall, J.-F.1    Perkins, E.2
  • 24
    • 84862368089 scopus 로고    scopus 로고
    • Thèse de doctorat de L'Université Paris 6
    • B. Mselati, Thèse de doctorat de L'Université Paris 6, 2002.
    • (2002)
    • Mselati, B.1
  • 25
    • 21844524825 scopus 로고
    • Stochastic pde's arising from the long range contact and long range voter processes
    • C. Mueller and R. Tribe, Stochastic pde's arising from the long range contact and long range voter processes. Probab. Theory Related Fields 102(1994), 519-546.
    • (1994) Probab. Theory Related Fields , vol.102 , pp. 519-546
    • Mueller, C.1    Tribe, R.2
  • 26
    • 0009301431 scopus 로고
    • Conditional dawson-watanabe processes and fleming-viot processes
    • Birkhäuser, Boston
    • E. Perkins, Conditional Dawson-Watanabe processes and Fleming-Viot processes. In: Seminar on Stochastic Processes 1991, Birkhäuser, Boston, 1992, pp. 142-155.
    • (1992) Seminar on Stochastic Processes 1991 , pp. 142-155
    • Perkins, E.1
  • 27
    • 0012799776 scopus 로고    scopus 로고
    • Dawson-watanabe superprocesses measure-valued diffusions
    • Lectures on probability theory and statistics Saint-Flour, Springer, Berlin
    • _, Dawson-Watanabe Superprocesses and Measure-Valued Diffusions. In: Lectures on probability theory and statistics (Saint-Flour, 1999), 125-324, Lecture Notes in Math., 1781, Springer, Berlin.
    • (1999) Lecture Notes in Math. , vol.1781 , pp. 125-324
  • 28
    • 0000474237 scopus 로고
    • One-dimensional stochastic pde's and the branching measure diffusion
    • M. Reimers, One-dimensional stochastic pde's and the branching measure diffusion. Probab. Theory Related Fields 81(1989), 319-340.
    • (1989) Probab. Theory Related Fields , vol.81 , pp. 319-340
    • Reimers, M.1
  • 29
    • 0000659593 scopus 로고    scopus 로고
    • An Introduction to stochastic partial differential eqauations
    • École d'été de probabilités de Saint-Flour, XIV-1984, Springer, Berlin
    • J. B. Walsh, An Introduction to Stochastic Partial Differential Eqauations. In: École d'été de probabilités de Saint-Flour, XIV-1984, 265-439, Lecture Notes in Math., 1180, Springer, Berlin.
    • Lecture Notes in Math. , vol.1180 , pp. 265-439
    • Walsh, J.B.1
  • 30
    • 0001686614 scopus 로고
    • A limit theorem of branching processes and continuous state branching processes
    • S. Watanabe, A limit theorem of branching processes and continuous state branching processes. J. Math. Kyoto Univ. 8(1968), 141-167.
    • (1968) J. Math. Kyoto Univ. , vol.8 , pp. 141-167
    • Watanabe, S.1
  • 31
    • 0015492587 scopus 로고
    • Stochastic model for abnormal clone spread through epithelial basal layer
    • T. Williams and R. Bjerknes, Stochastic model for abnormal clone spread through epithelial basal layer. Nature 236(1972), 19-21.
    • (1972) Nature , vol.236 , pp. 19-21
    • Williams, T.1    Bjerknes, R.2
  • 32
    • 0036110110 scopus 로고    scopus 로고
    • Hyperscaling inequalities for the contact process and oriented percolation
    • A. Sakai, Hyperscaling inequalities for the contact process and oriented percolation. J. Stat. Phys. 106(2002), 201-211.
    • (2002) J. Stat. Phys. , vol.106 , pp. 201-211
    • Sakai, A.1


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