Reinforced walk on graphs and neural networks
A directed-edge-reinforced random walk on graphs is considered. Criteria for the walk to end up in a limit cycle are given. Asymptotic stability of some neural networks is shown.
Relative stability and weak convergence in non-decreasing stochastically monotone Markov chains.
Relativistic transformation properties of quantum stochastic calculus
Relaxation in infinite spin systems
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 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 to the paper "On some limit properties of the reward from a Markov replacement process"
Remarks on intersection-equivalence and capacity-equivalence
Remarks on the life and research of Roland L. Dobrushin.
Renewal convergence rates and correlation decay for homogeneous pinning models.
Renewal Processes of Mittag-Leffler and Wright Type
2000 MSC: 26A33, 33E12, 33E20, 44A10, 44A35, 60G50, 60J05, 60K05.After sketching the basic principles of renewal theory we discuss the classical Poisson process and offer two other processes, namely the renewal process of Mittag-Leffler type and the renewal process of Wright type, so named by us because special functions of Mittag-Leffler and of Wright type appear in the definition of the relevant waiting times. We compare these three processes with each other, furthermore consider corresponding...
Renewal property of the extrema and tree property of the excursion of a one-dimensional brownian motion
Renewal theorem and Markov chains
Renewal theorem for a system of renewal equations
Renewal theorems for linear discrete Volterra equations.
Renewal theorems for random walks in multidimensional time
Renewal theory in dimensions II
Renormalizations of branching random walks in equilibrium.
Representation theorems for interacting Moran models, interacting Fisher-Wright diffusions and applications.
Repulsion of an evolving surface on walls with random heights