Speaker: 

Mike Cranston

Institution: 

UCI

Time: 

Tuesday, March 4, 2014 - 11:00am to 12:00pm

Location: 

RH 306

 
In this talk we discuss closed self adjoint extensions of the Laplacian and fractional Laplacian on L2 of Euclidean space minus the origin. In some cases there is a one parameter family of these operators that behave like the original operator plus a potential at the origin. Using these operators, we can construct polymer measures which exhibit interesting phase transitions from an extended state to a bound state where the pinning at the origin due to the potential takes over. The talk is based on joint works with Koralov, Molchanov, Squartini and Vainberg.