Oriented {$Z\sb 4$} actions without stationary points

Stationary Points and Equilibria

Almost all existence results in mathematical economics and game theory rely on some type of fixed point theorem. However, in many cases it is much easier to apply an equivalent stationary point theorem. In this survey paper we show for various general equilibrium and game theoretical models the usefulness of the stationary point approach to prove existence of equilibrium. We also consider path ...

Recurrence for Stationary Group Actions

Using a structure theorem from [3] we prove a version of multiple recurrence for sets of positive measure in a general stationary dynamical system.

Generic Stationary Measures and Actions

Let G be a countably infinite group, and let μ be a generating probability measure on G. We study the space of μ-stationary Borel probability measures on a topological G space, and in particular on ZG, where Z is any perfect Polish space. We also study the space of μ-stationary, measurable G-actions on a standard, nonatomic probability space. Equip the space of stationary measures with the weak...

Stationary Points of Transformation Groups.

Effective actions with fixed points.

The specific form of the constant term in the asymptotic expansion of the heat-kernel on an axially-symmetric space with a codimension two fixed-point set of conical singularities is used to determine the conformal change of the effective action in four dimensions. Another