Discreteness of Ferguson Selections

Dr Haig Ferguson

It is impossible to speak too highly of the various admirable and very practical contributions Ferguson made to the Society. They were, one and all, the result of patient research and, latterly, bore the fruits of his wide experience. His mind was a keen and critical one, and his literary style was most lucid and attractive. And now you will allow me to sound the personal note on this greatly b...

discreteness in

Bloch-like oscillations induced by charge discreteness in quantum mesoscopic rings. We study the effect of charge discreteness in a quantum mesoscopic ring wih inductance L. The ring is pierced by a time depending external magnetic field. When the external magnetic flux varies uniformly, the current induced in the ring oscillates with a frequency proportional to the charge discreteness and the ...

Selections

It was not until the sixteenth century that dead bodies were submitted to medico-legal investigation. The horror which human dissections inspired in the ancients, and the religious awe with which they beheld the mortal wreck of their fellows, not only retarded the progress of anatomy and physiology, but excluded the light of medicine from the researches of the forum. The Jewish law, indeed, con...

On Discreteness of Commensurators

We begin by showing that commensurators of Zariski dense subgroups of isometry groups of symmetric spaces of non-compact type are discrete provided that the limit set on the Furstenberg boundary is not invariant under the action of a (virtual) simple factor. In particular for rank one or simple Lie groups, Zariski dense subgroups with non-empty domain of discontinuity have discrete commensurato...

Ferguson , Melanie A . and