| Résume | Given a nonsingular Bernoulli action, we construct a one-parameter family of nonsingular Bernoulli actions, indexed by t in [0,1]. For t=1 we retrieve the nonsingular Bernoulli action we started with, and for t=0 we obtain a measure preserving Bernoulli action. In this setting we prove the existence of a phase transition for (strong) ergodicity. When the nonsingular Bernoulli action arises from a group acting on a locally finite tree, we are able to compute the precise phase transition value. |
