Steady state and intermittency in the critical branching random walk with arbitrary total number of offspring

IF 1.4 3区 社会学 Q3 DEMOGRAPHY
E. Chernousova, S. Molchanov
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引用次数: 6

Abstract

ABSTRACT For the critical branching random walk on the lattice , in the case of an arbitrary total number of produced offspring spreading on the lattice from the parental particle, the existence of a limit distribution (which corresponds to a steady state (or statistical equilibrium)) of the population is proved. If the second factorial moment of the total number of offspring is much larger than the square of the first factorial moment, then the limit particle field displays strong deviations from the uniformity: this is intermittency.
具有任意子代总数的临界分支随机游走的稳态和间歇性
摘要对于格上的临界分支随机漫步,在从母粒子向格上扩散的子代总数为任意的情况下,证明了种群的一个极限分布(对应于稳态(或统计平衡))的存在性。如果子代总数的第二个阶乘矩远远大于第一个阶乘矩的平方,则极限粒子场表现出与均匀性的强烈偏差,这是间歇性的。
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来源期刊
Mathematical Population Studies
Mathematical Population Studies 数学-数学跨学科应用
CiteScore
3.20
自引率
11.10%
发文量
7
审稿时长
>12 weeks
期刊介绍: Mathematical Population Studies publishes carefully selected research papers in the mathematical and statistical study of populations. The journal is strongly interdisciplinary and invites contributions by mathematicians, demographers, (bio)statisticians, sociologists, economists, biologists, epidemiologists, actuaries, geographers, and others who are interested in the mathematical formulation of population-related questions. The scope covers both theoretical and empirical work. Manuscripts should be sent to Manuscript central for review. The editor-in-chief has final say on the suitability for publication.
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