Asymptotically Non-Stationary Chaos

One-sided asymptotically mean stationary channels

This paper proposes an analysis of asymptotically mean stationary (AMS) communication channels. A hierarchy based on stability properties (stationarity, quasi-stationarity, recurrence and asymptotically mean stationarity) of channels is identified. Stationary channels are a subclass of quasi-stationary channels which are a subclass of recurrent AMS channels which are a subclass of AMS channels....

Maximal Hypersurfaces in Asymptotically Stationary Spacetimes

Existence of maximal hypersurfaces and of foliations by maximal hypersurfaces is proven in two classes of asymptotically flat spacetimes which possess a one parameter group of isometries whose orbits are timelike “near infinity”. The first class consists of strongly causal asymptotically flat spacetimes which contain no “black hole or white hole” (but may contain “ergoregions” where the Killing...

Projected non-stationary simultaneous iterative methods

In this paper, we study Projected non-stationary Simultaneous It-erative Reconstruction Techniques (P-SIRT). Based on algorithmic op-erators, convergence result are adjusted with Opial’s Theorem. The advantages of P-SIRT are demonstrated on examples taken from to-mographic imaging.

Kiefer Wolfowitz Algorithm is Asymptotically Optimal for a Class of Non-Stationary Bandit Problems

We consider the problem of designing an allocation rule or an “online learning algorithm” for a class of bandit problems in which the set of control actions available at each time t is a convex, compact subset of R. Upon choosing an action x at time t, the algorithm obtains a noisy value of the unknown and time-varying function ft evaluated at x. The “regret” of an algorithm is the gap between ...

An Asymptotically Optimal Heuristic for General Non- Stationary Finite-Horizon Restless Multi-Armed Multi- Action Bandits