Rate of decay for the mass ratio of pseudo-holomorphic integral 2-cycles
arXiv:1507.06548 · doi:10.1007/s00526-015-0896-0
Abstract
We consider any pseudo holomorphic integral 2-cycle in an arbitrary almost complex manifold and perform a blow up analysis at an arbitrary point. Building upon a pseudo algebraic blow up (previously introduced by the author) we prove a geometric rate of decay for the mass ratio towards the limiting density, with an explicit exponent of decay expressed in terms of the density of the current at the point.
in Calc. Var. published online (2015)