On the weak invariance principle for random fields with commuting filtrations under L1-projective criteria

Christophe Cuny, Jérôme Dedecker, Florence Merlevède

We consider a field $f\circ T_1^{i_1}\circ \cdots \circ T_d^{i_d}$ where $T_1,\dots ,T_d$ arecommuting transformations, one of them at least being ergodic. Considering the case…