15 citations · 47 across the 16 of their papers we have counts for
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A discrete harmonic function bounded on a large portion of is constant
Lev Buhovsky, Alexander Logunov, Eugenia Malinnikova +1
An improvement of the Liouville theorem for discrete harmonic functions on is obtained. More precisely, we prove that there exists a positive constant …
Quantitative propagation of smallness for solutions of elliptic equations
Alexander Logunov, Eugenia Malinnikova
Let be a solution to an elliptic equation with Lipschitz coefficients in . Assume is bounded by in the ball .…
Poisson Brackets of Partitions of Unity on Surfaces
Lev Buhovsky, Alexander Logunov, Shira Tanny
Given an open cover of a closed symplectic manifold, consider all smooth partitions of unity consisting of functions supported in the covering sets. The Poisson bracket invariant o…
Translation-invariant probability measures on entire functions
Lev Buhovsky, Adi Glucksam, Alexander Logunov +1
We study non-trivial translation-invariant probability measures on the space of entire functions of one complex variable. The existence (and even an abundance) of such measures was…