Extensive escape rate in lattices of weakly coupled expanding maps
I'll discuss possible approaches to escape rate in infinite lattices of
weakly coupled maps with uniformly expanding repeller, either via
conditionally invariant measures or by estimating volumes of points
remaining close to the repeller. In particular, the second approach allows
one to prove that the rates of spatially periodic approximations grow
linearly with the period size, suggesting normalized escape rate is the
appropriate notion for the infinite system.