Publications (30)
Discontinuities of the integrated density of states for random operators on Delone sets
Steffen Klassert, Daniel Lenz, Peter Stollmann
Delone measures of finite local complexity and applications to spectral theory of one-dimensional continuum models of quasicrystals
Steffen Klassert, Daniel Lenz, Peter Stollmann
An ergodic theorem for Delone dynamical systems and existence of the integrated density of states
Daniel Lenz, Peter Stollmann
Absence of absolutely continuous spectrum for the Kirchhoff Laplacian on radial trees
Pavel Exner, Christian Seifert, Peter Stollmann
Spectral asymptotics of the Laplacian on supercritical bond-percolation graphs
Peter Müller, Peter Stollmann
An uncertainty principle, Wegner estimates and localization near fluctuation boundaries
Anne Boutet de Monvel, Daniel Lenz, Peter Stollmann
Localization near fluctuation boundaries via fractional moments and applications
Anne Boutet de Monvel, Serguei Naboko, Peter Stollmann +1
Topological Poincaré type inequalities and lower bounds on the infimum of the spectrum for graphs
Daniel Lenz, Marcel Schmidt, Peter Stollmann
Erratum to: From Uncertainty Principles to Wegner Estimates
Peter Stollmann
Essential self-adjointness, generalized eigenforms, and spectra for the $\bar\partial$-Neumann problem on $G$-manifolds
Joe J. Perez, Peter Stollmann
Delone dynamical systems and associated random operators
Daniel Lenz, Peter Stollmann
Lifshitz asymptotics for percolation Hamiltonians
Reza Samavat, Peter Stollmann, Ivan VeseliÄ
Generic sets in spaces of measures and generic singular continuous spectrum for Delone Hamiltonians
Daniel Lenz, Peter Stollmann
The Allegretto-Piepenbrink Theorem for strongly local forms
Daniel Lenz, Peter Stollmann, Ivan VeseliÄ
Eigenfunction expansion for Schrodinger operators on metric graphs
Daniel Lenz, Carsten Schubert, Peter Stollmann
Percolation Hamiltonians
Peter Müller, Peter Stollmann
Sch'nol's Theorem For Strongly Local Forms
Anne Boutet de Monvel, Daniel Lenz, Peter Stollmann
An uncertainty principle and lower bounds for the Dirichlet Laplacian on graphs
Daniel Lenz, Peter Stollmann, Gunter Stolz
Bounds on the first Betti number - an approach via Schatten norm estimates on semigroup differences
Marcel Hansmann, Christian Rose, Peter Stollmann
Generalized eigenfunctions and spectral theory for strongly local Dirichlet forms
Daniel Lenz, Peter Stollmann, Ivan Veselic
Manifolds with Ricci curvature in the Kato class: heat kernel bounds and applications
Christian Rose, Peter Stollmann
Bounds on the spectral shift function and the density of states
Dirk Hundertmark, Rowan Killip, Shu Nakamura +2
Universal lower bounds for Laplacians on weighted graphs
Daniel Lenz, Peter Stollmann
The Kato class on compact manifolds with integral bounds on the negative part of Ricci curvature
Christian Rose, Peter Stollmann
Anderson localization for a multi-particle model with alloy-type external potential
Anne Boutet de Monvel, Victor Chulaevsky, Peter Stollmann +1
A dual characterization of length spaces with application to Dirichlet metric spaces
Peter Stollmann
On the decomposition principle and a Persson type theorem for general regular Dirichlet forms
Daniel Lenz, Peter Stollmann
Heat kernel estimates for the $\bar\partial$-Neumann problem on $G$-manifolds
Joe J. Perez, Peter Stollmann
Compactness of Schrödinger semigroups
Daniel Lenz, Peter Stollmann, Daniel Wingert
Zero measure Cantor spectra for continuum one-dimensional quasicrystals
Daniel Lenz, Christian Seifert, Peter Stollmann