Burdzy, Krzysztof2005-10-142005-10-142004Proceedings of the International Workshop on Potential Theory, Matsue 2004http://hdl.handle.net/1773/2130This is a review of research on geometric properties of Neumann eigenfunctions related to the "hot spots" conjecture of Jeff Rauch. The paper also presents, in an informal way, some probabilistic techniques used in the proofs.139183 bytesapplication/pdfen-USNeumann eigenfunctionsHot spotsNeumann eigenfunctions and Brownian couplingsArticle