Periodicity and absolute regularity

Absolute regularity and ergodicity of Poisson count processes

We consider a class of observation-driven Poisson count processes where the current value of the accompanying intensity process depends on previous values of both processes. We show under a contractive condition that the bivariate process has a unique stationary distribution and that the stationary version of the count process is absolutely regular. Moreover, since the intensities can be writte...

Periodicity and Almost-periodicity

Strong Topological Regularity and Weak Regularity of Banach Algebras

In this article we study two different generalizations of von Neumann regularity, namely strong topological regularity and weak regularity, in the Banach algebra context. We show that both are hereditary properties and under certain assumptions, weak regularity implies strong topological regularity. Then we consider strong topological regularity of certain concrete algebras. Moreover we obtain ...

Redshift in Absolute Space: Periodicity of Quasars and Other Cosmological Implica- tions

Assuming the existence of a preferred frame Σ (i.e., absolute space), we start from a Newtonian model based on the equivalence of gravitational work and inertial energy. Microscopic processes for the absorption and emission of photons lead to frequency shifts in absolute space. The resulting expressions contain both gravitational and velocity components, but—in contrast to the conventional mode...

Poincaré Duality and Periodicity, Ii. James Periodicity

Let K be a connected finite complex. This paper studies the problem of whether one can attach a cell to some iterated suspension ΣK so that the resulting space satisfies Poincaré duality. When this is possible, we say that ΣK is a spine. We introduce the notion of quadratic self duality and show that if K is quadratically self dual, then ΣK is a spine whenever j is a suitable power of two. The ...