An ergodic correspondence principle, invariant means and applications

Correspondence Principle for Idempotent Calculus and Some Computer Applications *

Correspondence Principle

The Correspondence Principle is the relation, which exists in certain economic models, between comparative statics of equilibria and the properties of out-of-equilibrium dynamics. The Correspondence Principle (CP) implies that one obtains unambiguous comparative statics by selecting equilibria with desirable dynamic properties. Generally, the CP determines comparative statics in models with a o...

SEMIGROUP ACTIONS , WEAK ALMOST PERIODICITY, AND INVARIANT MEANS

Let S be a topological semigroup acting on a topological space X. We develop the theory of (weakly) almost periodic functions on X, with respect to S, and form the (weakly) almost periodic compactifications of X and S, with respect to each other. We then consider the notion of an action of Son a Banach space, and on its dual, and after defining S-invariant means for such a space, we give a...

Ethnobotanical Applications and Their Correspondence with Phylogeny in Apiaceae-Apioideae

The Apiaceae family includes some of the most known medicinal, food and spice species in the world some of which have been used by humans since antiquity. Local people in different regions use many species of the family but the information regarding their uses is scattered. Traditionally used species are good candidates for bioprospecting. Combining traditional uses with phylogenetic data helps...

A Correspondence Principle

A single mathematical theme underpins disparate physical phenomena in classical, quantum and statistical mechanical contexts. This mathematical “correspondence principle”, a kind of wave–particle duality with glorious realizations in classical and modern mathematical analysis, embodies fundamental geometrical and physical order, and yet in some sense sits on the edge of chaos. Illustrative case...