On stochastic dominance of nilpotent operators

Mudakkar S.R.; Utev S.

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On stochastic dominance of nilpotent operators

机译：关于幂等算子的随机支配性

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In this paper, motivated by Nica and Speicher [Lectures on the Combinatorics of Free Probability, London Mathematical Society Lecture Note Series, Vol. 335 (Cambridge University Press, 2006)] and Kubo and Kuo [MRM-factors for the probability measures in the Meixner class, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 13 (2010) 525-550], we characterize a particular nilpotent case of a truncated forward shift operator by applying the technique of the random walks with repeated reflections and associated renewal equations. We also establish a stochastic order relationship by applying the crossing criteria.

机译：本文受Nica和Speicher的鼓励[关于自由概率组合的讲座，伦敦数学学会讲座系列，第1卷。 335（剑桥大学出版社，2006年）以及Kubo和Kuo [Meixner类中的概率度量的MRM因数，Infin。 Dimens。肛门量子Probab。相关。最佳。 [J.Med.Chem.Soc.13（2010）525-550]中，我们通过应用具有重复反射的随机游走技术和相关的更新方程来描述截断的前移算子的特定无能情况。我们还通过应用交叉标准来建立随机顺序关系。

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《Infinite dimensional analysis, quantum probability, and related topics》 |2013年第1期|共10页
作者
Mudakkar S.R.; Utev S.;
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正文语种 eng
中图分类物理学;
关键词
Forward shift operator; Random walk; Repeated reflection; Stochastic ordering;

机译：前移算子;随机行走;重复反射;随机排序;

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On stochastic dominance of nilpotent operators

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