In Natvig and G̊asemyr (2009) dynamic and stationary measures of importance of a component in a binary system were considered. To arrive at explicit results the performance processes of the components were assumed to be independent and the system to be coherent. Especially the Barlow-Proschan and the Natvig measures were treated in detail and a series of new results and approaches were given. Fo...

We construct explicit examples of one-dimensional driven diffusive systems for two and three species of interacting particles, defined by asymmetric dynamical rules which do not obey detailed balance, but whose nonequilibrium stationary-state measure coincides with a prescribed equilibrium Gibbs measure. For simplicity, the measures considered in this construction only involve nearest-neighbor ...

Let N denote the space of locally finite simple counting measures on an Abelian topological group G that is assumed to be a locally compact, second countable Hausdorff space. A probability measure on N is a canonical model of a random point process on G. Our first aim in this paper is to characterize Palm measures of stationary measures onN through point stationarity. This generalizes the main ...

Using a structure theorem from [3] we prove a version of multiple recurrence for sets of positive measure in a general stationary dynamical system.

We study the permutation complexity of finite-state stationary stochastic processes based on a duality between values and orderings between values. First, we establish a duality between the set of all words of a fixed length and the set of all permutations of the same length. Second, on this basis, we give an elementary alternative proof of the equality between the permutation entropy rate and ...

In this paper, we propose a unique approach to enhance speech signals that have been corrupted by non-stationary noises. This approach is not based on a spectral subtraction algorithm, but on an algorithm that separates the speech signal and noise signal contributions in the autocorrelation domain. We call this technique the AR-HASE speech enhancement algorithm. In this initial study, we evalua...

We present a discounted stochastic game with a continuum of states, finitely many players and actions, such that although all transitions are absolutely continuous w.r.t. a fixed measure, it possesses no stationary equilibria. This absolute continuity condition has been assumed in many equilibrium existence results, and the game presented here complements a recent example of ours of a game with...

This paper introduces stochastic processes that describe the evolution of systems of particles in which particles immigrate according to a Poisson measure and split according to a self-similar fragmentation. Criteria for existence and absence of stationary distributions are established and uniqueness is proved. Also, convergence rates to the stationary distribution are given. Linear equations w...

We initiate the study of weak containment and weak equivalence for μ-stationary actions for a given countable group G endowed with a generating probability measure μ. We show that Furstenberg entropy is a stable weak equivalence invariant, and furthermore is a continuous affine map on the space of stable weak equivalence classes. We prove the same for the associated stationary random subgroup (...

This paper introduces stochastic processes that describe the evolution of systems of particles in which particles immigrate according to a Poisson measure and split according to a self-similar fragmentation. Criteria for existence and absence of stationary distributions are established and uniqueness is proved. Also, convergence rates to the stationary distribution are given. Linear equations w...