This paper is concerned with the spectral theory of the Laplacian as the underlying Riemann surface is "pinched down" to a surface with nodes. The problem is attacked from the (general) standpoint of regular b-groups and the Selberg trace formula.
Introduction Affine and hyperbolic laminations Measures and currents on laminations Laminations associated with rational maps Measures on laminations associated with rational maps Appendix A. Laminations associated with Kleinian groups List of notations Bibliography.
Let [italic capital]A and [italic capital]B be elements of [italic capitals]PSL (2, [bold]R) and let [italic capital]G be the group they generate. Assume that [italic capital]G is non-elementary. The discreteness problem is the problem of finding an algorithm to determine whethe…
Important and original research in the fast-developing subject of Kleinian groups and hyperbolic 3-manifolds.
The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, the last few years having seen the resolution of many longstanding conjectures. This volume contains important expositions and original work by some of the main contri…