תאריך:
ה', 15/06/201714:30-15:30
מיקום:
Manchester Building (Hall 2), Hebrew University Jerusalem
Let u be a harmonic function on the plane.
The Liouville theorem claims that if |u| is bounded on the whole plane, then u is identically constant.
It appears that if u is a harmonic function on a lattice Z^2, and |u| < 1 on 99,99% of Z^2,
then u is a constant function.
Based on a joint work(in progress) with L.Buhovsky, Eu.Malinnikova and M.Sodin.
The Liouville theorem claims that if |u| is bounded on the whole plane, then u is identically constant.
It appears that if u is a harmonic function on a lattice Z^2, and |u| < 1 on 99,99% of Z^2,
then u is a constant function.
Based on a joint work(in progress) with L.Buhovsky, Eu.Malinnikova and M.Sodin.