作者:BIANE, P
摘要:We study a quantum random walk on A (SU (n)), the von Neumann algebra of SU (n), obtained by tensoring the basic representation of SU (n). Two classical Markov chains are derived from this quantum random walk, by restriction to commutative subalgebras of A (SU (n)), and the main result of the paper states that these two Markov chains are related by means of Doob's h-processes.
作者:WINNICKI, J
摘要:Estimation theory for the variances of the offspring and immigration distributions in a simple branching process with immigration is developed, analogous to the estimation theory for the means given by Wei and Winnicki (1990). Conditional and weighted conditional least squares estimators are considered and their asymptotic properties for the full range of parameters are studied. Nonexistence of consistent estimators in the critical case is established, which complements analogous result of Wei...