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physics.gen-ph2026
An axially symmetric stationary N-center solution of Einstein's vacuum equations
Aleksandr A. Shaideman, Jesus D. Arias H, Kirill V. Golubnichiy
Using the Euclidon method, a stationary solution of Einstein's vacuum equations was obtained, describing N rotating axially symmetric masses, which in the absence of rotation descr…
math.AP2026
A Carleman Semi-Discrete Convexification Method Combined With Deep Learning for Electrical Impedance Tomography
Michael V. Klibanov, Kirill V. Golubnichiy, Benjamin Jiang
In this paper, a new semi-discrete version of the Carleman estimate-based convexification globally convergent numerical method is developed. It is used for the delivery of the star…