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On stationary and cycle-stationary sequences
Bulletin of the Brazilian Mathematical Society, 2002Let \(Z=(Z_k)\) be a stationary sequence with a state space \((E, {\mathcal E})\). Let \(A\in {\mathcal E}\) be such a set that the events \(\{Z_n\in A\}\) occur infinitely many times for both negative and positive \(n\). The times \(n\) when the events occur are called points. The points split the process into a two-sided sequence of cycles.
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Fundamenta Informaticae, 1994
Default logic, introduced by Reiter proved to be an important non- monotonic formalism with applications extending over a variety of areas. In particular, default logic is closely related to logic programming. In this paper we introduce the class of so called stationary extensions of a default theory.
Halina Przymusinska +1 more
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Default logic, introduced by Reiter proved to be an important non- monotonic formalism with applications extending over a variety of areas. In particular, default logic is closely related to logic programming. In this paper we introduce the class of so called stationary extensions of a default theory.
Halina Przymusinska +1 more
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Riemann Integral Operator for Stationary and Non-Stationary Processes
Cybernetics and Systems Analysis, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexandrovich, I. M. +4 more
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Stationary Waves on the Sphere
SIAM Journal on Applied Mathematics, 2015This paper deals with a reaction-diffusion equation on a unit sphere \[ \frac{\partial u}{\partial t} = D \nabla_S^2 u + \Psi (u,\sigma) \eqno (1) \] where \[ \nabla_S^2 := \frac{1}{\sin x} \frac{ \partial}{\partial x} (\sin x \frac{\partial}{\partial x}) = \frac{\partial^2}{\partial x^2} + \cot x \frac{\partial}{\partial x}, \] \(D > 0\) and \(\Psi (u,
Slawomir Bialecki +2 more
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On Stationary Processes in the Plane
Biometrika, 1954Abstract The sampling theory of stationary processes in space is not completely analogous to that of stationary time series, due to the fact that the variate of a time series is influenced only by past values, while for a spatial process dependence extends in all directions. This point is elaborated in §§ 2-4.
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The stationary and non-stationary wind profile
pure and applied geophysics, 1965A method is presented which permits the separation of the non-stationary part of the wind profile from the stationary or smoothed profile. Very little a priori assumption is made, thus, the results can be considered to render information of general purpose.
Oskar Essenwanger, Novella S. Billions
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Mathematical Logic Quarterly, 1983
The author calls the (stable) theory T (weakly) stationary if every (nonalgebraic) 1-type over any set is stationary. He gives a (rather technical) characterization of those totally transcendental modules M which are (weakly) stationary (i.e. whose theories are weakly stationary). A corollary is that if the totally transcendental module M is stationary
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The author calls the (stable) theory T (weakly) stationary if every (nonalgebraic) 1-type over any set is stationary. He gives a (rather technical) characterization of those totally transcendental modules M which are (weakly) stationary (i.e. whose theories are weakly stationary). A corollary is that if the totally transcendental module M is stationary
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Moments for stationary and quasi-stationary distributions of markov chains
Journal of Applied Probability, 1985A necessary and sufficient set of conditions is given for the finiteness of a general moment of the R -invariant measure of an R -recurrent substochastic matrix. The conditions are conceptually related to Foster's theorem. The result extends that of [8], and is illustratively applied to the single and multitype subcritical Galton–Watson process to find
Seneta, E., Tweedie, R. L.
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Stationary-to-stationary solutions in relativity theory
Journal of Physics A: Mathematical and General, 1975Stationary axially symmetric solutions claimed to be original by Kloster, Som and Das (1974) are in fact known. A technique for derivation of the class of solutions is given.
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EPSTA: The coincidence of time-stationary and customer-stationary distributions
Queueing Systems, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dieter König, Volker Schmidt
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