A DIFFUSION LIMIT FOR A CLASS OF RANDOMLY-GROWING BINARY-TREES

被引:47
作者
ALDOUS, D [1 ]
SHIELDS, P [1 ]
机构
[1] UNIV TOLEDO,DEPT MATH,TOLEDO,OH 43606
关键词
D O I
10.1007/BF00318784
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
引用
收藏
页码:509 / 542
页数:34
相关论文
共 18 条
[1]  
ALDOUS D, 1987, 124 U CAL DEP STAT T
[2]   DISCOUNTED BRANCHING RANDOM-WALKS [J].
ATHREYA, KB .
ADVANCES IN APPLIED PROBABILITY, 1985, 17 (01) :53-66
[3]   DIRECTED DIFFUSION-LIMITED AGGREGATION ON THE BETHE LATTICE - EXACT RESULTS [J].
BRADLEY, RM ;
STRENSKI, PN .
PHYSICAL REVIEW B, 1984, 30 (11) :6788-6790
[4]   SPLITTING INTERVALS-II - LIMIT LAWS FOR LENGTHS [J].
BRENNAN, MD ;
DURRETT, R .
PROBABILITY THEORY AND RELATED FIELDS, 1987, 75 (01) :109-127
[5]  
BRENNAN MD, 1986, ANN PROBAB, V14, P1023
[6]   ORIENTED PERCOLATION IN 2 DIMENSIONS [J].
DURRETT, R .
ANNALS OF PROBABILITY, 1984, 12 (04) :999-1040
[7]  
ELLIOTT R. J., 1982, STOCHASTIC CALCULUS
[8]  
GIHMAN I, 1979, THEORY STOCHASTIC PR, V3
[9]   LIMIT-THEOREM FOR MEASURABLE RANDOM PROCESSES AND ITS APPLICATIONS [J].
GRINBLAT, LS .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 61 (02) :371-376
[10]  
Knuth D. E., 1973, ART COMPUTER PROGRAM