Branching Diffusion on Hyperbolic Space

Seminar: 
Group Actions and Dynamics
Event time: 
Monday, November 16, 2009 - 11:30am to 12:30pm
Location: 
431 DL
Speaker: 
Mark Kelbert
Speaker affiliation: 
Cambridge
Event description: 

We study the problem of transiency and recurrency
of branching Brownian motion (BM) on Riemannian manifolds.
A branching process is called recurrent if at least
one offspring will return to any neighbouhood of initial
point with probability 1 and transient otherwise.
For a transient BM on a hyperbolic case with an inhomogeneous
branching rate the Hausdorff dimension of the attractor on
the absolute is evaluated.