Leandro Arosio

most citedResonances in Loewner equations

37 citations · 45 across the 2 of their papers we have counts for

collaborators

2 papers

math.CV2012★ 8 cited

Solving the Loewner PDE in complete hyperbolic starlike domains of $\C^N$

Leandro Arosio, Filippo Bracci, Erlend Fornaess Wold

We prove that any Loewner PDE in a complete hyperbolic starlike domain of $\C^N$ (in particular in bounded convex domains) admits an essentially unique univalent solution with valu…

math.CV2010★ 37 cited

Resonances in Loewner equations

Leandro Arosio

We prove that given a Herglotz vector field on the unit ball of $C^{n}$ of the form $H (z, t) = (a_{1} z_{1}, ..., a_{n} z_{n}) + O (∣ z ∣^{2})$ with $ℜ a_{j} < 0$ for all $j$ , its evolution famil…