Alexander Grigor'yan, Professor of  Mathematics

  Email  grigor at math.uni-bielefeld.de

  Tel : +49 -(0)521-106-4996

  Address: Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany

  Room: V4-234

  

  Married, two children and one grandchild.

 

 

Research Interests

Geometric Analysis on Riemannian manifolds, graphs, and metric spaces

This includes partial differential equations of elliptic and parabolic types on Riemannian manifolds,  random walks on graphs, function theory and diffusion processes on fractal spaces, etc. The main direction of my research is investigation of the global properties of solutions to elliptic and parabolic equations in connection with the geometry "in the large" of the underlying space. Here are some examples of such properties: heat kernel estimates, Liouville properties, recurrence and non-explosion of the heat semigroup, estimates of the eigenvalues of the Laplace and Schrödinger operators, long time behavior of random walks and diffusions, etc.

Publications and preprints

Awards

Invited lectures at International Conferences

Lecture courses

Seminars

Research seminar "Geometric Analysis"

Useful links

This page was last updated on April 7,  2012