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4 papers · 1 filter
Rescaled Levy-Loewner hulls and random growth
Fredrik Johansson, Alan Sola
We consider radial Loewner evolution driven by unimodular Lévy processes. We rescale the hulls of the evolution by capacity, and prove that the weak limit of the rescaled hulls exi…
Lee-Yang Problems and The Geometry of Multivariate Polynomials
Julius Borcea, Petter Brändén
We describe all linear operators on spaces of multivariate polynomials preserving the property of being non-vanishing in open circular domains. This completes the multivariate gene…
Ullemar's formula for the moment map, II
Vladimir Tkachev
We establish the complex analogue of Ullemar's formula for polynomial domains. We show that the Jacobian of the complex moment mapping is equal to the self-resultant of the definin…
Valuations and multiplier ideals
Charles Favre, Mattias Jonsson
We present a new approach to the study of multiplier ideals in a local, two-dimensional setting. Our method allows us to deal with ideals, graded systems of ideals and plurisubharm…