This https://t.co/agca7I01Wf has been replaced. Links: https://t.co/XGMyqCNvLP https://t.co/6EPA187Q7M https://t.co/Y21RgrE35g https://t.co/lvLGYh6xAR
configurations on the tree, and the introduction of a set of uniformly bad configurations given in terms of subtree percolation, which we show to become typical at high particle activity. [5/5 of https://t.co/mJvXjutGKN]
measure of the set of bad configurations (discontinuity points) changes from zero to one as the particle activity increases, assuming that d is greater or equal than 4. Our proof relies on a general zero-one law for bad [4/5 of https://t.co/mJvXjutGKN]
transition, in which the measure becomes non-Gibbsian at large times, independently of the particle activity, for any d greater or equal 2. In our second and main result, we also show that for large beta and at large times, the [3/5 of https://t.co/mJvXjut