  For landscapes of field theory vacua, we identify an effect that can greatly
enhance the decay rates to wildly distant minima--so much so that such
transitions may dominate over transitions to near neighbors. We exhibit these
'giant leaps' in both a toy two-field model and, in the thin-wall
approximation, amongst the four-dimensional vacua of 6D Einstein-Maxwell
theory, and it is argued that they are generic to landscapes arising from flux
compactifications. We discuss the implications for the cosmological constant
and the stability of stringy de Sitter.
