Sentence examples for free action of from inspiring English sources

We study Harper operators and the closely related discrete magnetic Laplacians (DML) on a graph with a free action of a discrete group, as defined by Sunada (Sun).

We prove that an ergodic free action of a countable discrete amenable group with completely positive entropy has a countable Lebesgue spectrum.

This partially answers an open problem in dynamical systems that asks whether a minimal free action of an amenable group has the small boundary property if its space MG(X) of invariant Borel probability measures forms a Bauer simplex.

A main result in this paper is that the spectral density function of DMLs associated to rational weight functions on graphs with a free action of an amenable discrete group can be approximated by the average spectral density function of the DMLs on a regular exhaustion, with either Dirichlet or Neumann boundary conditions.

For any countable group, and also for any locally compact second countable, compactly generated topological group, G, we show the existence of a "universal" hypercyclic (i.e. topologically transitive) representation on a Hilbert space, in the sense that it simultaneously models every possible ergodic probability measure preserving free action of G.

Given a II1-factor M with separable predual and α, a free action of a countable amenable discrete group G on M, we show that the crossed product M × αG has property Γ (resp. is McDuff) when M itself has property Γ (resp. is McDuff).

Assume that a finite group G has a fixed point free action on a curve of genus (g ge 3).

Describes how this was achieved by the free actions of the two peoples involved.

Are these requirements justified, or are they inappropriate infringements on the free actions of competent individuals?

In fact the whole point of education is to determine the future free actions of the individual: it aims through the associative processes to determine the person's motives and actions.

First, Kant suggests that if we abstract the free actions of individual human subjects and examine them as a whole, we can hope to discover a universally applicable, regular progression toward our ultimate moral goal: freedom.