A discrete harmonic function bounded on a large portion of Z2 is constant-Reference-Cited by-同舟云学术

A discrete harmonic function bounded on a large portion of Z2 is constant

Published:2022-04-15 Issue:6 Volume:171 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Buhovsky Lev¹,Logunov Alexander²,Malinnikova Eugenia³,Sodin Mikhail¹

Affiliation:

1. School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel

2. Section de Mathématiques, Université de Genève, Geneva, Switzerland; and Department of Mathematics, Princeton University, Princeton, New Jersey, USA

3. Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway; and Department of Mathematics, Stanford University, Stanford, California, USA

Publisher

Duke University Press

Subject

General Mathematics

Reference18 articles.

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2. J. BOURGAIN and C. KENIG, On localization in the continuous Anderson-Bernoulli model in higher dimension, Invent. Math. 161 (2005), no. 2, 389–426.

3. L. BUHOVSKY, A. GLÜCKSAM, A. LOGUNOV, and M. SODIN, Translation-invariant probability measures on entire functions, J. Anal. Math. 139 (2019), no. 1, 307–339.

4. J. CAPOULADE, Sur quelques propiétés des fonctions harmoniques et des fonctions préharmoniques, Mathematica 6 (1932), 146–151.

5. J. DING and C. K. SMART, Localization near the edge for the Anderson Bernoulli model on the two dimensional lattice, Invent. Math. 219 (2020), no. 2, 467–506.

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