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Volumn 116, Issue 1, 2000, Pages 41-56

An extension of Hawkes' theorem on the Hausdorff dimension of a Galton-Watson tree

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EID: 0034424639     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00008722     Document Type: Article
Times cited : (10)

References (12)
  • 2
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    • Equilibrium states and the Ergodic theory of Anosov diffeomorphisms
    • Bowen, R.: Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms. Springer Lecture Notes in Math. 470, (1975)
    • (1975) Springer Lecture Notes in Math. , vol.470
    • Bowen, R.1
  • 3
    • 0007258646 scopus 로고
    • Polar and nonpolar sets for a tree indexed process
    • Evans, S.: Polar and nonpolar sets for a tree indexed process. Annals of Probability 20(2), 579-590 (1992)
    • (1992) Annals of Probability , vol.20 , Issue.2 , pp. 579-590
    • Evans, S.1
  • 4
    • 0002227935 scopus 로고
    • Intersections of Cantor sets and transversality of semigroups
    • Furstenberg, H.: Intersections of Cantor sets and transversality of semigroups. Problems in analysis (Bochner Symp.) 41-59 (1970)
    • (1970) Problems in Analysis (Bochner Symp.) , pp. 41-59
    • Furstenberg, H.1
  • 5
    • 84959741913 scopus 로고
    • Trees generated by a simple branching process
    • Hawkes, J.: Trees generated by a simple branching process. J. London Math. Soc.(2) 24, 373-384 (1981)
    • (1981) J. London Math. Soc.(2) , vol.24 , pp. 373-384
    • Hawkes, J.1
  • 7
    • 0032382391 scopus 로고    scopus 로고
    • Limit set of a weakly supercritical contact process on a homogeneous tree
    • Lalley, S., Sellke, T.: Limit set of a weakly supercritical contact process on a homogeneous tree. Annals of Probability 26, 644-657 (1998)
    • (1998) Annals of Probability , vol.26 , pp. 644-657
    • Lalley, S.1    Sellke, T.2
  • 8
    • 0000902270 scopus 로고
    • Random walks and percolation on trees
    • Lyons, R.: Random walks and percolation on trees. Annals of Probability 18, 931-958 (1990)
    • (1990) Annals of Probability , vol.18 , pp. 931-958
    • Lyons, R.1
  • 9
    • 0000384770 scopus 로고
    • Galton-Watson trees with the same mean have the same polar sets
    • Pemantle, R., Peres, Y.: Galton-Watson trees with the same mean have the same polar sets. Annals of Probability 23(3), 1102-1124 (1995)
    • (1995) Annals of Probability , vol.23 , Issue.3 , pp. 1102-1124
    • Pemantle, R.1    Peres, Y.2
  • 11
    • 0003831421 scopus 로고
    • Cambridge Univ. Press, Cambridge UK
    • Petersen, K.: Ergodic Theory. Cambridge Univ. Press, Cambridge UK (1983)
    • (1983) Ergodic Theory
    • Petersen, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.