Relativistic transformation properties of quantum stochastic calculus
Relaxation in infinite spin systems
Relèvement borélien compatible avec une classe d'ensembles négligeables. Application à la désintégration des mesures
Relèvement horizontal d'une semimartingale càdlàg
Reliability modeling of fault tolerant control systems
This paper proposes a novel approach to reliability evaluation for active Fault Tolerant Control Systems (FTCSs). By introducing a reliability index based on the control performance and hard deadline, a semi-Markov process model is proposed to describe system operation for reliability evaluation. The degraded performance of FTCSs in the presence of imperfect Fault Detection and Isolation (FDI) is reflected by semi-Markov states. The semi-Markov kernel, the key parameter of the process, is determined...
Reliability of difference analogues to preserve stability properties of stochastic Volterra integro-differential equations.
Reliability of system with dependent units
The availability of a system with dependent units is obtained in the case where the system fails when one of the essential units fails. Markov model is assumed. The system considered consists of dependent units of which units are essential units. A unit is said to be essential if its failure causes the system to fail. The mean and variance of time to system failure are given. Unit reliability is also discussed.
Remark on Polya's law
Remark on the conditional gauge theorem
Remark to the paper "On some limit properties of the reward from a Markov replacement process"
Remarks on absolute continuity, contiguity and convergence in variation of probability measures
Remarks on Catalan and super-Catalan numbers
In this article we discuss the Catalan and super-Catalan (or Schröder) numbers. We start with some combinatorial interpretations of those numbers. We study two probability measures in the context of free probability, one whose moments are super-Catalan, and another, whose even moments are super-Catalan and odd moments are zero. With the use of the latter we also show some new formulae for evaluation of the Catalans in terms of super-Catalans and vice-versa.
Remarks on conditional moments of the free deformed Poisson random variables
We will show that the conditional first moment of the free deformed Poisson random variables (q = 0) corresponding to operators fulfilling the free relation is a linear function of the regression and the conditional variance also is a linear function of the regression. For this purpose we will first demonstrate some properties of the Wick product and then we will concentrate on the free deformed Poisson random variables.
Remarks on ergodicity and invariant occupation measure in branching diffusions with immigration
Remarks on integration by parts in infinite dimension
Remarks on intersection-equivalence and capacity-equivalence
Remarks on Invariant Measures for Number Theoretic Transformations.
Remarks on operator-stable measures
Remarks on Palm Measures
Remarks on random walks on semi simple Lie groups