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10 papers · 1 filter
Viscosity solutions to complex Hessian equations
Lu Hoang Chinh
We study viscosity solutions to complex hessian equations. In the local case, we consider a bounded domain in the standard Kähler form in an…
A variational approach to complex Monge-Ampere equations
R. J. Berman, S. Boucksom, V. Guedj +1
We show that degenerate complex Monge-Ampere equations in a big cohomology class of a compact Kaehler manifold can be solved using a variational method independent of Yau's theorem…
Discontinuity of the Lempert function of the spectral ball
Pascal J. Thomas, Nguyen Van Trao
We give some further criteria for continuity or discontinuity of the Lempert funtion of the spectral ball , with respect to one or both of its arguments, in terms of cyclicity…
Lyapunov exponents, bifurcation currents and laminations in bifurcation loci
G. Bassanelli, F. Berteloot
Bifurcation loci in the moduli space of degree rational maps are shaped by the hypersurfaces defined by the existence of a cycle of period and multiplier 0 or . Usi…
Sampling Sets for the Nevanlinna class
Xavier Massaneda, Pascal J. Thomas
We propose a definition of sampling set for the Nevanlinna class in the disk, i.e. a subset of the disk such that the analogue of the norm of a function in the Nevanlinna class can…
Singularites des courants d'Ahlfors
Julien Duval
We prove that an algebraic curve charged by a current coming from an entire curve is rational or elliptic. This answers a question by M. Paun.