메뉴 건너뛰기




Volumn 120, Issue 2, 2001, Pages 277-308

Fractal percolation and branching cellular automata

Author keywords

Fractal percolation; Multi type branching process; Random fractal set

Indexed keywords


EID: 0035637244     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00008784     Document Type: Article
Times cited : (5)

References (15)
  • 1
    • 0041175300 scopus 로고    scopus 로고
    • Fractal percolation with neighbour interaction
    • J. Lévy-Vehel, E. Lutton, and C. Tricot, editors
    • Burton, R.M., Coffey, T., Dekking, F.M., Hyman, K.: Fractal percolation with neighbour interaction, In J. Lévy-Vehel, E. Lutton, and C. Tricot, editors, Fractals in Engineering, 106-114 (1997)
    • (1997) Fractals in Engineering , pp. 106-114
    • Burton, R.M.1    Coffey, T.2    Dekking, F.M.3    Hyman, K.4
  • 2
    • 11544345669 scopus 로고
    • Connectivity properties of Mandelbrot's percolation process
    • Chayes, J.T., Chayes, L., Durrett, R.: Connectivity properties of Mandelbrot's percolation process, Probab. Theory Related Fields, 77(3), 307-324 (1988)
    • (1988) Probab. Theory Related Fields , vol.77 , Issue.3 , pp. 307-324
    • Chayes, J.T.1    Chayes, L.2    Durrett, R.3
  • 3
    • 0003840368 scopus 로고
    • John Wiley & Sons Ltd., Chichester, Mathematical foundations and applications
    • Falconer, K.: Fractal geometry, John Wiley & Sons Ltd., Chichester, 1990. Mathematical foundations and applications
    • (1990) Fractal Geometry
    • Falconer, K.1
  • 4
    • 0004131235 scopus 로고
    • Chelsea Publishing Co.. New York, Translated by K.A. Hirsch
    • Gantmacher, FR. : The theory of matrices. Vols. 1, 2, Chelsea Publishing Co.. New York, 1959. Translated by K.A. Hirsch
    • (1959) The Theory of Matrices , vol.1-2
    • Gantmacher, F.R.1
  • 5
    • 84959741913 scopus 로고
    • Trees generated by a simple branching process
    • John, H.: Trees generated by a simple branching process, J. London Math. Soc., (2), 24(2), 373-384 (1981)
    • (1981) J. London Math. Soc., (2) , vol.24 , Issue.2 , pp. 373-384
    • John, H.1
  • 6
    • 0003329153 scopus 로고
    • Sur certaines martingales de benoit mandelbrot
    • Kahane, J.-P., Peyrière, J.: Sur certaines martingales de Benoit Mandelbrot, Advances in Math., 22(2), 131-145 (1976)
    • (1976) Advances in Math. , vol.22 , Issue.2 , pp. 131-145
    • Kahane, J.-P.1    Peyrière, J.2
  • 7
    • 0002508627 scopus 로고
    • A limit theorem for multidimensional Gallon-Watson processes
    • Kesten, H., Stigum, B.P.: A limit theorem for multidimensional Gallon-Watson processes, Ann. Math. Statist., 37, 1211-1223 (1966)
    • (1966) Ann. Math. Statist. , vol.37 , pp. 1211-1223
    • Kesten, H.1    Stigum, B.P.2
  • 8
    • 0001552596 scopus 로고
    • Limit theorems for decomposable multi-dimensional Galton-Watson processes
    • Kesten, H., Stigum, B.P.: Limit theorems for decomposable multi-dimensional Galton-Watson processes, J. Math. Anal. Appl., 17, 309-338 (1967)
    • (1967) J. Math. Anal. Appl. , vol.17 , pp. 309-338
    • Kesten, H.1    Stigum, B.P.2
  • 9
    • 0000902270 scopus 로고
    • Random walks and percolation on trees
    • Lyons, R.: Random walks and percolation on trees, Ann. Probab., 18(3), 931-958 ( 1990 )
    • (1990) Ann. Probab. , vol.18 , Issue.3 , pp. 931-958
    • Lyons, R.1
  • 10
    • 0015969022 scopus 로고
    • Intermittent turbulence in self-similar cascades: Divergence of high moments and dimension of the carrier
    • Mandelbrot, B.: Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier, J. Fluid Mech., 62, 331-358 (1974)
    • (1974) J. Fluid Mech. , vol.62 , pp. 331-358
    • Mandelbrot, B.1
  • 11
    • 0040865443 scopus 로고
    • A finitary classification of topological Markov chains and sofic systems
    • Parry, W.: A finitary classification of topological Markov chains and sofic systems, Bull. London Math. Soc., 9(1), 86-92, (1977)
    • (1977) Bull. London Math. Soc. , vol.9 , Issue.1 , pp. 86-92
    • Parry, W.1
  • 12
    • 0030537118 scopus 로고    scopus 로고
    • Intersection-equivalence of Brownian paths and certain branching processes
    • Peres, Y.: Intersection-equivalence of Brownian paths and certain branching processes, Comm. Math. Phys., 177(2), 417-434 (1996)
    • (1996) Comm. Math. Phys. , vol.177 , Issue.2 , pp. 417-434
    • Peres, Y.1
  • 13
    • 84931536830 scopus 로고
    • Sur les colliers aléatoires de B. Mandelbrot
    • Peyrière, J.: Sur les colliers aléatoires de B. Mandelbrot, C. R. Acad. Sci. Paris Sér. A-B., 286(20), A937-A939 (1978)
    • (1978) C. R. Acad. Sci. Paris Sér. A-B , vol.286 , Issue.20
    • Peyrière, J.1
  • 14
    • 24544467650 scopus 로고
    • Processus de naissance avec interactions des voisins
    • Peyrière, J.: Processus de naissance avec interactions des voisins, C. R. Acad. Sci. Paris Sér. A-B., 289(3), A223-A224 (1979)
    • (1979) C. R. Acad. Sci. Paris Sér. A-B , vol.289 , Issue.3
    • Peyrière, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.