Project Details
Projekt
Diffusion in random media
Applicant
Professor Dr. Peter Stollmann
Subject Area
Mathematics
Term
from 2003 to 2010
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 5401722
Final Report Year
2010
Final Report Abstract
No abstract available
Publications
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Bounds on the spectral shift function and the density of states. Comm. Math. Phys. 262 (2006), no. 2, 489-503
Hundertmark, Dirk ; Killip, Rowan ; Nakamura, Shu ; Stollmann, Peter ; Veselic, Ivan
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Localization near fluctuation boundaries via fractional moments and applications. J. Anal. Math. 100 (2006), 83-116
Boutet de Monvel, A. ; Naboko, S. ; Stollmann, P. ; Stolz, G.
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Linear Wegner estimate for alloy-type Schrödinger operators on metric graphs. J. Math. Phys. 48 (2007), no. 9, 092107, 7 pp
Helm, Mario ; Veselic, Ivan
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Localization on a quantum graph with a random potential on the edges. Rev. Math. Phys. 19 (2007), no. 9, 923-939
Exner, Pavel ; Helm, Mario ; Stollmann, Peter
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Spectral asymptotics of the Laplacian on supercritical bond-percolation graphs. J. Funct. Anal. 252 (2007), no. 1, 233-246
Müller, Peter ; Stollmann, Peter
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Eigenfunction expansions for Schrödinger operators on metric graphs. Integral Equations Operator Theory 62 (2008), no. 4, 541-553
Lenz, Daniel ; Schubert, Carsten ; Stollmann, Peter
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Optimal Wegner estimates for random Schrödinger operators on metric graphs. Analysis on graphs and its applications, 409-422, Proc. Sympos. Pure Math., 77, Amer. Math. Soc, Providence, RI, 2008
Gruber, Michael J. ; Helm, Mario ; Veselic, Ivan
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Sch'nors theorem for strongly local forms. Israel J. Math. 173 (2009), 189-211
Boutet de Monvel, Anne ; Lenz, Daniel ; Stollmann, Peter
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From Uncertainty Principles to Wegner Estimates. Math. Phys. Anal. Geom. 2010
Stollmann, Peter
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Wegnertype Bounds for a Multi-particle Continuous Anderson Model with an Alloy-type External Potential. J. Stat. Phys. 138 (2010), 553-566
A. Boutet de Monvel, V. Chulaevsky, P. Stollmann and Y. Suhov
