DIRECTED RANDOM-WALKS IN RANDOM-ENVIRONMENTS

被引：6
|
作者：
BUFFET, E
HANNIGAN, P
机构：
[1] DONAGH OMALLEY REG TECH COLL, SCH SCI, LETTERKENNY, DONEGAL, IRELAND
[2] DUBLIN INST ADV STUDIES, SCH THEORET PHYS, DUBLIN 4, IRELAND
来源：
JOURNAL OF STATISTICAL PHYSICS | 1991年 / 65卷 / 3-4期
关键词：
DIRECTED RANDOM WALK; PURE BIRTH PROCESS; HOLDING TIME; STRONG LAW OF LARGE NUMBERS; CENTRAL LIMIT THEOREM;
D O I：
10.1007/BF01053747
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We use holding time methods to study the asymptotic behavior of pure birth processes with random transition rates. Both the normal and slow approaches to infinity are studied. Fluctuations are shown to obey the central limit theorem for almost all sample-transition rates. Our results are stronger, and our proofs simpler, then those of recently published studies.
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页码：645 / 672
页数：28
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