MASAMUNE, Jun
 Position
 Professor
 Organization
 Department of Mathematics
 Research Interest
 My research interest is to investigate the relationships between the analytical and geometric properties of spaces such as Riemannian manifolds and graphs by analyzing the Laplacian, head kernels, Green functions, and Brownian motion on the spaces. The problems currently I am working on are to determine the selfadjoint extensions of the Laplacians, longterm behaviors of Brownian motion such as conservation ad recurrent property, and the Liouville property of harmonic functions applying the techniques from PDEs and Functional Analysis.
 Research Activities

Papers
・Grigor’yan, Alexander; Masamune, Jun. Parabolicity and stochastic completeness of manifolds in terms of the Green formula. J. Math. Pures Appl. (9) 100 (2013), no. 5, 607–632.
・Masamune, Jun. Moscoconvergence and Wiener measures for conductive thin boundaries. J. Math. Anal. Appl. 384 (2011), no. 2, 504–526.
・Masamune, Jun. Essential selfadjointness of Laplacians on Riemannian manifolds with fractal boundary. Comm. Partial Differential Equations 24 (1999), no. 34, 749–757.  Keywords
 WebPage
 http://www.math.sci.hokudai.ac.jp/~jmasamune/