0 happening repeatedly over a period of time: --
He suffers periodic mental breakdowns.
1 happening repeatedly in a fixed pattern --
2 happening repeatedly although not necessarily frequently: --
He suffers periodic mental breakdowns.
In particular, if admits a generalized indifferent periodic point, then the densities of these conditional measures fail to hold strict positivity.
The main goal of the paper is to present two results concerning the periodic points of sup-norm non-expansive maps.
Here we show that periodic point counts for elements of an entropy rank-one action determine the expansive subdynamics.
Their periodic review, revision, and distribution helps to keep the practitioner's knowledge base current by assisting with the dissemination of new advances in everyday practice.
To obtain the multiple periodic atomic beams in two dimensions, the interference pattern also has to be periodic in two dimensions.
In these geographic areas, varicella is endemic, with periodic peak years.
These two economies were not subject to any real shocks, and there were no stationary periodic equilibria in the neighborhood of the steady state.
In the present paper, agents have heterogeneous beliefs, but the existence of periodic equilibria is not threatened. 10.
