Continuous-time statistics and generalized relaxation equations

被引：1

作者：

Scalas, Enrico ^{[1
]}

机构：

[1] Univ Sussex, Dept Math, Brighton BN1 9QH, E Sussex, England

来源：

EUROPEAN PHYSICAL JOURNAL B | 2017年 / 90卷 / 11期

关键词：

ANOMALOUS DIFFUSION; RANDOM-WALKS; FRACTIONAL CALCULUS; MODELS; DYNAMICS;

D O I：

10.1140/epjb/e2017-80311-5

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

Using two simple examples, the continuous-time random walk as well as a two state Markov chain, the relation between generalized anomalous relaxation equations and semi-Markov processes is illustrated. This relation is then used to discuss continuous-time random statistics in a general setting, for statistics of convolution-type. Two examples are presented in some detail: the sum statistic and the maximum statistic.

引用

页数：5

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