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math.CV2019★ 4 cited
Random products of matrices: a dynamical point of view
Tien-Cuong Dinh, Lucas Kaufmann, Hao Wu
We study random products of matrices in SL_2(C) from the point of view of holomorphic dynamics. For non-elementary measures with finite first moment we obtain the exponential conve…
math.CV2018
Density and intersection of (1,1)-currents
Lucas Kaufmann, Duc-Viet Vu
We study density currents associated with a collection of positive closed (1,1)-currents. We prove that the density current is unique and determined by the usual wedge product in s…
math.CV2016
Self-intersection of foliated cycles on complex manifolds
Lucas Kaufmann
Let X be a compact Kahler manifold and let T be a foliated cycle directed by a transversally Lipschitz lamination on X . We prove that the self-intersection of the cohomology class…