David Stockman
Department of Economics, University of Delaware
Title: SRB measures for inverse limit spaces.
Let f be a function from X to X where X is a compact metric space and f is
continuous and Y the inverse limit of (X,f) with F, a function from Y to Y being the induced
homeomorphism. If mu is an SRB for f on X,
we induce a measure m on Y and show that this induced measure
is an SRB for F.
Conversely, if m is an SRB measure for F on Y,
we induce a measure mu on X and show that this induced measure
is an SRB for f.
