Former members: Dr. Matthias Täufer

Dr. Matthias Täufer was a member of our group from 2013 to 2018.

He is currently at the Fern-Universität in Hagen To visit his current homepage follow this link.

Here you find the key information about his activities while member of our group:

Dr. Täufer started his PhD studies at the TU Chemnitz in winter 2013 and completed his PhD at the TU Dortmund in October 2018.
- An online version of his PhD Thesis can be found here.
Matthias Täufer's PhD project was partially funded by the DFG Project Ve 253/6-1 Unique continuation principles and equidistribution properties of eigenfunctions. More information about the project and Matthias' contribution can be found here.
Matthias Täufer has (co-)authored the following publications during his work on the mentioned DFG Project, his PhD thesis, and as member of the group:
2024
Wegner estimate and localisation for alloy type operators with minimal support assumptions on the single site potential. Matthias Täufer, Ivan Veselić (2024). In: Random Operators and Stochastic Equations. [DOI] [arXiv]
2021
Protecting points from operator pencils. Albrecht Seelmann, Matthias Täufer, Krešimir Veselić (2021). In: Journal of Operator Theory, Volume 85, Issue 2, pp. 383–389. [DOI] [arXiv]

Quantum Hamiltonians with Weak Random Abstract Perturbation. II. Localization in the Expanded Spectrum. Denis Borisov, Matthias Täufer, Ivan Veselić (2021). In: Journal of Statistical Physics, Volume 182, Issue 1, pp. 1. [DOI] [arXiv]
2020
Unique continuation and lifting of spectral band edges of Schrödinger operators on unbounded domains. Ivica Nakić, Matthias Täufer, Martin Tautenhahn, Ivan Veselić (2020). With an Appendix by Albrecht Seelmann. In: Journal of Spectral Theory, Volume 10, Issue 3, pp. 843–885. [DOI] [arXiv]

Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains. Michela Egidi, Ivica Nakić, Albrecht Seelmann, Matthias Täufer, Martin Tautenhahn, Ivan Veselić (2020). In: Control Theory of Infinite-Dimensional Systems, pp. 117–157. Birkhäuser, Cham. [DOI] [arXiv]

Band edge localization beyond regular Floquet eigenvalues. Albrecht Seelmann, Matthias Täufer (2020). In: Annales Henri Poincaré, Volume 21, Issue 7, pp. 2151–2166. [DOI] [arXiv]

The Statistics of Noisy One-Stage Group Testing in Outbreaks. Christoph Schumacher, Matthias Täufer (2020). [arXiv]

Sharp estimates and homogenization of the control cost of the heat equation on large domains. Ivica Nakić, Matthias Täufer, Martin Tautenhahn, Ivan Veselić (2020). In: ESAIM: COCV, Volume 26, Issue 54, pp. 1049–1081. [DOI] [arXiv]
2018
Spectral localization for quantum Hamiltonians with weak random delta interaction. Denis Borisov, Matthias Täufer, Ivan Veselić (2018). In: Comptes Rendus Mathématique, Volume 356, Issue 6, pp. 686–691. [DOI]

Scale-free unique continuation principle for spectral projectors, eigenvalue-lifting and Wegner estimates for random Schrödinger operators. Ivica Nakić, Matthias Täufer, Martin Tautenhahn, Ivan Veselić (2018). In: Analysis & PDE, Volume 11, Issue 4, pp. 1049–1081. [DOI] [arXiv]

Wegner estimate and disorder dependence for alloy-type Hamiltonians with bounded magnetic potential. Matthias Täufer, Martin Tautenhahn (2018). In: Annales Henri Poincar\'{e}. A Journal of Theoretical and Mathematical Physics, Volume 19, Issue 4, pp. 1151–1165. [DOI]
2017
Unique continuation principles and their absence for Schrödinger eigenfunctions on combinatorial and quantum graphs and in continuum space. Norbert Peyerimhoff, Matthias Täufer, Ivan Veselić (2017). In: Nanosystems: Physics, Chemistry, Mathematics, Volume 8, Issue 2, pp. 216–230. [DOI] [arXiv]

Scale-free and quantitative unique continuation for infinite dimensional spectral subspaces of {S}chr\"{o}dinger operators. Matthias Täufer, Martin Tautenhahn (2017). In: Communications on Pure and Applied Analysis, Volume 16, Issue 5, pp. 1719–1730. [DOI]
2016
Harmonic analysis and random Schrödinger operators. Matthias Täufer, Martin Tautenhahn, Ivan Veselić (2016). In: Spectral theory and mathematical physics, pp. 223–255. Birkhäuser, Cham. [DOI] [arXiv]

Wegner estimate for Landau-breather Hamiltonians. Matthias Täufer, Ivan Veselić (2016). In: Journal of Mathematical Physics, Volume 57, Issue 7, pp. 072102. [DOI] [arXiv]
2015
Conditional Wegner estimate for the standard random breather potential. Matthias Täufer, Ivan Veselić (2015). In: Journal of Statistical Physics, Volume 161, Issue 4, pp. 902–914. [DOI] [arXiv]

Scale-free uncertainty principles and Wegner estimates for random breather potentials. Ivica Nakić, Matthias Täufer, Martin Tautenhahn, Ivan Veselić (2015). In: Comptes Rendus Mathématique, Volume 353, Issue 10, pp. 919–923. [DOI] [arXiv]

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