For more information about this meeting, contact Stephen Simpson, Jan Reimann.
|Title:||Submeasures, supermeasures, and effective capacitability.|
|Speaker:||Stephen G. Simpson, Pennsylvania State University|
|I discuss submeasures and supermeasures on the Cantor space. I prove a lemma to the effect that if a supermeasure is bounded above by a submeasure, then there is a measure in between them. Using this lemma I prove that for any computable convex function f, strong f-randomness is equivalent to effective f-capacitability. This theorem is a generalization of an earlier result due to Reimann and Kjos-Hanssen. Using this theorem, I prove a product theorem for strong f-randomness. These new results are in the forthcoming paper "Cone avoidance and randomness preservation" by S. Simpson and F. Stephan.|
Room Reservation Information
|Date:||12 / 03 / 2013|
|Time:||02:30pm - 03:45pm|