In the family of area-contracting Hénon-like maps with zero topological entropy we show that there are maps with infinitely many moduli of stability. Thus one cannot find all the possible topological types for non-chaotic area-contracting Hénon-like maps in a family with finitely many parameters. A similar result, but for the chaotic maps in the family, became part of the folklore a short time ...

The question of effective, high-quality education means many things to many people--some would like our young people to be better educated in the "basic skills"; others are concerned that schools prepare "technologically literate" youth; and still others want schools to be places where kids learn discipline, citizenship and positive democratic values. while all of these concerns are serious, an...

This paper is concerned with the time-harmonic elastic scattering by a finite number N of pointlike obstacles in Rn (n = 2, 3). We analyze the N -point interactions model in elasticity and derive the associated Green’s tensor (integral kernel) in terms of the point positions and the scattering coefficients attached to them, following the approach in quantum mechanics for modeling N -particle in...