We are led to believe that our current vacuum may be reached from compactifying critical string theory in ten dimensions down to four. Problematic are the large set of deformation---the moduli---of the 6 dimensional compactification that are degenerate in energy. Different values of the moduli translate to different properties of the 4 dimensional physics. If there is nothing that determines one value versus another, there can be no sensible 4 dimensional state with the presently observed properties. This is the well known moduli problem, and there are potentially many ways to deal with this. In recent history, flux compactifications have gained serious attention.;Flux compactifications pro-port to stabilize moduli and produce viable 4 dimensional cosmologies by introducing background fluxes in the compactification geometry. These considerations do not isolate one vacuum, rather they produce a tremendous set of metastable vacua---the landscape---and it is not understood what selects a given vacuum from another. Observing that states may tunnel between minima of the flux landscape when a given flux decays offers a potentially new way to understand vacuum selection.;We investigate model landscapes and cosmologies which capture some of the features of candidate flux landscapes. We argue that the vast majority of flux vacua with small cosmological constant are unstable to rapid decay to a big crunch. Exceptions are states with large compactification volume and supersymmetric and approximately supersymmetric states.;Utilizing these observations we then ask a different question: are there features of a given compactification that act as attractors during tunneling flow? Obvious candidates are states which exhibit symmetries, in particular discrete symmetries. Though these points are rare in the landscape, an order one fraction of states may surround these points. Starting in a vicinity about these points we study whether the tunneling flow tends towards or away from the symmetric point. We find that only when the symmetry is also a discrete R-symmetry is there a preference to decay towards the symmetric state. As R-symmetric states have vanishing vacuum energy this might offer a clue as to the smallness of the observed cosmological constant.
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