期刊
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
卷 14, 期 2, 页码 279-335出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219025711004365
关键词
Quadratic stochastic operator; quadratic stochastic process; quantum quadratic stochastic operator; quantum quadratic stochastic process; fixed point; trajectory; Volterra and non-Volterra operators; ergodic; simplex
资金
- ICTP
- TWAS [09-009 RG/MATHS/AS_I-UNESCO FR:3240230333]
- MOSTI [01-01-08-SF0079, CLB10-04]
The history of the quadratic stochastic operators can be traced back to the work of Bernshtein (1924). For more than 80 years, this theory has been developed and many papers were published. In recent years it has again become of interest in connection with its numerous applications in many branches of mathematics, biology and physics. But most results of the theory were published in non-English journals, full text of which are not accessible. In this paper we give all necessary definitions and a brief description of the results for three cases: (i) discrete-time dynamical systems generated by quadratic stochastic operators; (ii) continuous-time stochastic processes generated by quadratic operators; (iii) quantum quadratic stochastic operators and processes. Moreover, we discuss several open problems.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据