The ¯∂-equation on a positive current

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Exponential estimates for plurisubharmonic functions and stochastic dynamics (2008, background): “We refer the reader to [1, 5, 18, 2, 13] for the intersection theory of currents.”
Riemann Surface Laminations with Singularities (2008, background): “If not there are two positive closed or harmonic currents T1, T2 supported respectively on L1, L2, this is basically a consequence of the maximum principle, see[4].”
Some open problems in higher dimensional complex analysis and complex dynamics (2001, background): “See [ BeSi ] for an alternative point of view: Solving ¯ ∂ on positive currents (especially positive, closed currents of bidegree (1, 1)).”
Laminar currents and birational dynamics (2004, methodology): “It remains to prove that the saddle points constructed with the method of [ BLS2 ] lie in”