Harmonic functions with gradient converging to zero at infinity

Vortrag von Prof. Dr. Gady Kozma

Datum: 06.04.22  Zeit: 17.15 - 18.15  Raum: Y27H12

For which finitely generated groups does there exist a non-constant (discrete) harmonic function whose gradient converges to zero at infinity? We will see a number of examples, including a connection to an open problem on two dimensional simple random walk. Joint work with Gidi Amir and Maria Gerasimova.