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Volumn 41, Issue 5, 2005, Pages 851-858

Two-dimensional poisson trees converge to the Brownian web

Author keywords

Brownian web; Coalescing one dimensional Brownian motions; Poisson tree

Indexed keywords


EID: 23944487451     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpb.2004.06.003     Document Type: Article
Times cited : (33)

References (14)
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    • Donsker, M.D.1
  • 3
    • 8744252996 scopus 로고    scopus 로고
    • Two-dimensional Poisson Trees converge to the Brownian web
    • math.PR/0304247
    • P.A. Ferrari L.R.G. Fontes X.-Y. Wu Two-dimensional Poisson Trees converge to the Brownian web math.PR/0304247
    • Ferrari, P.A.1    Fontes, L.R.G.2    Wu, X.-Y.3
  • 4
    • 1542609584 scopus 로고    scopus 로고
    • Poisson trees, succession lines and coalescing random walks
    • P.A. Ferrari C. Landim H. Thorisson Poisson trees, succession lines and coalescing random walks Ann. Inst. H. Poincaré 40 2004 141-152
    • (2004) Ann. Inst. H. Poincaré , vol.40 , pp. 141-152
    • Ferrari, P.A.1    Landim, C.2    Thorisson, H.3
  • 5
    • 0036018203 scopus 로고    scopus 로고
    • Random walks with strongly inhomogeneous rates and singular diffusions: Convergence, localization and aging in one dimension
    • L.R.G. Fontes M. Isopi C.M. Newman Random walks with strongly inhomogeneous rates and singular diffusions: Convergence, localization and aging in one dimension Ann. Probab. 30 2002 579-604
    • (2002) Ann. Probab. , vol.30 , pp. 579-604
    • Fontes, L.R.G.1    Isopi, M.2    Newman, C.M.3
  • 9
    • 8744309530 scopus 로고    scopus 로고
    • Random oriented trees: A model of drainage networks
    • S. Gangopadhyay R. Roy A. Sarkar Random oriented trees: A model of drainage networks Ann. Appl. Probab. 14 2004 1242-1266
    • (2004) Ann. Appl. Probab. , vol.14 , pp. 1242-1266
    • Gangopadhyay, S.1    Roy, R.2    Sarkar, A.3
  • 11
    • 0037796511 scopus 로고
    • On stochastic limit and order relations
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    • (1943) Ann. Math. Statist. , vol.14 , pp. 217-226
    • Mann, H.B.1    Wald, A.2
  • 12
    • 0000033355 scopus 로고
    • Convergence of random processes and limits theorems in probability theory
    • Y.V. Prohorov Convergence of random processes and limits theorems in probability theory Theory Probab. Appl. 1 1956 157-214
    • (1956) Theory Probab. Appl. , vol.1 , pp. 157-214
    • Prohorov, Y.V.1
  • 14
    • 84954898285 scopus 로고
    • A stochastic model for drainage patterns into an intramontane trench
    • A.E. Scheidegger A stochastic model for drainage patterns into an intramontane trench Bull. Ass. Sci. Hydrol. 12 1967 15-20
    • (1967) Bull. Ass. Sci. Hydrol. , vol.12 , pp. 15-20
    • Scheidegger, A.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.