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math.CV2012
A generalized Stoilow decomposition for pairs of mappings of integrable dilatation
Andrew Lorent
We prove a rigidity result for pairs of mappings of integrable dilatation whose gradients pointwise deform the unit ball to similar ellipses. Our result implies as corollaries a ve…
math.CV2012
Differential inclusions, non-absolutely convergent integrals and the first theorem of complex analysis
Andrew Lorent
In the theory of complex valued functions of a complex variable arguably the first striking theorem is that pointwise differentiability implies regularity. As mentione…