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- Title
ON STOCHASTIC DOMINANCE OF NILPOTENT OPERATORS.
- Authors
MUDAKKAR, SYEDA RABAB; UTEV, SERGEY
- Abstract
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.
- Subjects
STOCHASTIC dominance; NILPOTENT groups; OPERATOR theory; COMBINATORICS; PROBABILITY theory; SHIFT operators (Operator theory); RANDOM walks
- Publication
Infinite Dimensional Analysis, Quantum Probability & Related Topics, 2013, Vol 16, Issue 1, p-1
- ISSN
0219-0257
- Publication type
Article
- DOI
10.1142/S0219025713500094