7 citations · 7 across the 1 of their papers we have counts for
3 papers
math.CA2017★ 7 cited
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 …
math.CV2017
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…
math.SG2016
Quantitative -principle for isotropic embeddings and applications to -symplectic geometry
Lev Buhovsky, Jaime Bustillo, Emmanuel Opshtein
We prove here a quantitative -principle statement that applies to isotropic embeddings of discs. We then apply it to get -flexibility and rigidity results in symplectic geo…