10 citations · 26 across the 29 of their papers we have counts for
34 papers
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…
Asymptotic multiplicities and Monge-Ampère masses (with an appendix by Sébastien Boucksom)
Dano Kim, Alexander Rashkovskii
Ein, Lazarsfeld and Smith asked whether `equality' holds between two Samuel type asymptotic multiplicities for a graded system of zero-dimensional ideals on a smooth complex variet…
On 2-dimensional mobile sampling
Alexander Rashkovskii, Alexander Ulanovskii, Ilya Zlotnikov
Necessary and sufficient conditions are presented for several families of planar curves to form a set of stable sampling for the Bernstein space over a convex set $…
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 …