Venue: Boundary Theory on Fractals

Speaker: Ka-Sing Lau, Department of Mathematics, The Chinese University of Hong Kong

Time: 9 December 2011,15:30-16:30

Location: Room 201, Sir Run Run Shaw Business Adminisration Building, Yuquan Campus

Abstract:

It is well known that a self-similar set K can be identified as the limit (i.e., boundary) of its symbolic representation. In the talk we will discuss the identification of K  with the Martin boundaryand the hyperbolic boundary from the probabilistic and geometric point of view. This allows us to bring in additional harmonic and geometric structure on the self-similar set, which is in line with the current development of analysis on fractals.