10 citations · 26 across the 29 of their papers we have counts for
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Plurisubharmonic interpolation and plurisubharmonic geodesics
Alexander Rashkovskii
We give a short survey on plurisubharmonic interpolation, with focus on possibility of connecting two given plurisubharmonic functions by plurisubharmonic geodesic.
Rooftop envelopes and residual plurisubharmonic functions
Alexander Rashkovskii
Given a negative plurisubharmonic function in a bounded pseudoconvex domain of , we introduce and study its residual function determined by the asymptotic…
Interpolation of weighted extremal functions
Alexander Rashkovskii
An approach to complex interpolation of compact subsets of , including Brunn-Minkowski type inequalities for the capacities of the interpolating sets, was developed recen…
Plurisubharmonic geodesics and interpolating sets
Dario Cordero-Erausquin, Alexander Rashkovskii
We apply a notion of geodesics of plurisubharmonic functions to interpolation of compact subsets of . Namely, two non-pluripolar, polynomially closed, compact subsets of …
Higher Lelong numbers and convex geometry
Dano Kim, Alexander Rashkovskii
We prove the reversed Alexandrov-Fenchel inequality for mixed Monge-Ampère masses of plurisubharmonic functions, which generalizes a result of Demailly and Pham. As applications to…
A remark on symbolic powers
Alexander Rashkovskii
By an easy application of Skoda's theorem on ideal generation, a non-local version of the Briancon-Skoda theorem is obtained. In particular, the symbolic powers of a zero…