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WS 2007/8, 15.10.2007 - 8.02.2008
Wednesday 16-18, room V3-204
[1] Chung F., Discrete isoperimetric inequalities, in: “Eigenvalues of Laplacians and other geometric operators”, Surveys in Differential Geometry IX, (2004) pages 53-82. ISBN 1-57146-115-9. Catalogue no. in Uni Bielefeld QA680 S9D5G[9.
[2] Chung F.R.K., “Spectral Graph Theory”, CBMS Regional Conference Series in Mathematics 92, AMS publications, 1996. ISBN 0-8218-0315-8. Catalogue no. in Uni Bielefeld QA052%Y94 C559.
[3] Chung F.R.K., Grigor’yan A., Yau S.-T., Upper bounds for eigenvalues of the discrete and continuous Laplace operators, Advances in Math., vol. 117 (1996) pages 165-178. Available at http://www.math.uni-bielefeld.de/~grigor/eigen.pdf
[4] Coulhon T., Grigor’yan A., Random walks on graphs with regular volume growth, Geom. Funct. Anal., vol. 8 (1998) pages 656-701. Available at http://www.math.uni-bielefeld.de/~grigor/grpheps.pdf
[5] Doyle P.G., Snell J.L., “Random walks and electric networks”, Carus Mathematical Monographs 22, Mathematical Association of America, Washington, DC, 1984.ISBN 0-88385-024-9. Catalogue no. in Uni Bielefeld QC540 D754. Available at http://math.dartmouth.edu/ doyle/docs/walks/walks.pdf
[6] Grigor’yan A., Telcs A., Sub-Gaussian estimates of heat kernels on infinite graphs, Duke Math. J., vol. 109 (2001) no.3, pages 452-510. Available at http://www.math.uni-bielefeld.de/~grigor/traeps.pdf
[7] Higuchi Y., Shirai T., Some spectral and geometric properties for infinite graphs, in: “Discrete geometric analysis”, Contemporary mathematics 347, (2004) pages 29-56. ISBN 0-8218-3351-0. Catalogue no. in Uni Bielefeld QA052%Z02 D6G3A.
[8] Saloff-Coste L., Lectures on finite Markov chains, in: “Lectures on probability theory and statistics”, Lecture Notes Math. 1665, Springer, 1997. pages 301-413. ISBN 3-540-63190-9. Catalogue no. in Uni Bielefeld QA052%Y96 E1E8P. Available at http://www.springerlink.com/content/27114435w5149665/
[9] Woess W., “Random walks on infinite graphs and groups”, Cambridge Tracts in Mathematics 138, Cambridge Univ. Press., 2000. ISBN 0-521-55292-3. Catalogue no. in Uni Bielefeld QB120 W843.