In this short note we study the entropy for algebraic actions of certain amenable groups. The possible values for this entropy are studied. Various fundamental results about certain classes of amenable groups are reproved using elementary arguments and the entropy invariant. We provide a natural decomposition of the entropy into summands contributed by individual primes and a summand correspond...

OBJECTIVE To investigate comparative national trends in mortality from conditions amenable to timely, appropriate medical care and from those considered not to be amenable to such care. DESIGN Analysis of trends in direct age standardised mortality from the 1950s to 1987. SETTING Four eastern European nations (Hungary, Czechoslovakia, Poland, the German Democratic Republic) and two western ...

Let G be a countable infinite amenable group and P be a polyhedron. We give a construction of minimal subshifts of P with arbitrarily mean topological dimension less than dimP .