Generic IRS in free groups, after Bowen

Divergence Groups Have the Bowen Property

Effect generic and non-generic feedback on Motor Learning basketball free throw in Children

Non-generic feedback refers to a specific event and that task performance is the reason to the acquisition of skills and implies that performance is malleable, while generic feedback implies that task performance reflects an inherent ability. The Goal of this study was to determine the generic and non-generic feedback effects on children’s motor learning basketball free throw. This research was...

Algebraic Geometry over Free Groups: Lifting Solutions into Generic Points

In this paper we prove Implicit Function Theorems (IFT) for algebraic varieties defined by regular quadratic equations and, more generally, regular NTQ systems over free groups. In the model theoretic language these results state the existence of very simple Skolem functions for particular ∀∃formulas over free groups. We construct these functions effectively. In noneffective form IFT first appe...

Generic properties of subgroups of free groups and finite presentations

Asymptotic properties of finitely generated subgroups of free groups, and of finite group presentations, can be considered in several fashions, depending on the way these objects are represented and on the distribution assumed on these representations: here we assume that they are represented by tuples of reduced words (generators of a subgroup) or of cyclically reduced words (relators). Classi...

A Bowen type rigidity theorem for non-cocompact hyperbolic groups

We establish a Bowen type rigidity theorem for geometrically finite actions of the fundamental group of finite volume noncompact hyperbolic manifolds (with dimension at least 3). Mathematics Subject Classification (2000). 53C24, 30F40, 37F30.