| Publication | Date of Publication | Type |
|---|
| The generators of the \(K\)-groups of the sphere | 2024-02-05 | Paper |
| Footprint of a topological phase transition on the density of states | 2023-09-28 | Paper |
| Spectral localization for semimetals and Callias operators | 2023-09-05 | Paper |
| Spectral localizer for line-gapped non-Hermitian systems | 2023-09-05 | Paper |
| Partially hyperbolic random dynamics on Grassmannians | 2023-09-05 | Paper |
| Callias-type operators associated to spectral triples | 2023-08-04 | Paper |
| Spectral Flow | 2023-03-01 | Paper |
| Pseudo-gaps for random hopping models | 2023-01-13 | Paper |
| Reduced transfer operators for singular difference equations | 2023-01-06 | Paper |
| Analysis of Sparse Recovery Algorithms via the Replica Method | 2022-12-19 | Paper |
| Analysis of sparse recovery algorithms via the replica method | 2022-12-14 | Paper |
| Levinson theorem for discrete Schr\"odinger operators on the line with matrix potentials having a first moment | 2022-11-09 | Paper |
| Harmonic analysis on operator algebras and its applications to index theory and topological solid state systems | 2022-08-05 | Paper |
| Harmonic analysis in operator algebras and its applications to index theory and topological solid state systems | 2022-06-15 | Paper |
| Band edge limit of the scattering matrix for quasi-one-dimensional discrete Schrödinger operators | 2022-03-15 | Paper |
| Random Möbius dynamics on the unit disc and perturbation theory for Lyapunov exponents | 2022-01-21 | Paper |
| Skew localizer and \(\mathbb{Z}_2\)-flows for real index pairings | 2021-10-27 | Paper |
| Invariants of disordered semimetals via the spectral localizer | 2021-08-13 | Paper |
| Oscillation Theory for the Density of States of High Dimensional Random Operators | 2021-03-15 | Paper |
| Erratum to “Oscillation Theory for the Density of States of High Dimensional Random Operators” | 2021-03-15 | Paper |
| Analyticity properties of the scattering matrix for matrix Schrödinger operators on the discrete line | 2021-03-03 | Paper |
| On ℤ2-indices for ground states of fermionic chains | 2021-02-03 | Paper |
| Dimensional reduction and scattering formulation for even topological invariants | 2021-02-01 | Paper |
| The spectral localizer for semifinite spectral triples | 2021-01-26 | Paper |
| Approximate symmetries and conservation laws in topological insulators and associated \(\mathbb{Z}\)-invariants | 2020-12-01 | Paper |
| Space versus energy oscillations of Pr\"ufer phases for matrix Sturm-Liouville and Jacobi operators | 2020-09-07 | Paper |
| The spectral localizer for even index pairings | 2020-08-03 | Paper |
| Statistical Mechanics of MAP Estimation: General Replica Ansatz | 2020-01-28 | Paper |
| Parity as Z2‐valued spectral flow | 2019-12-11 | Paper |
| Random perturbations of hyperbolic dynamics | 2019-09-19 | Paper |
| Spectral flow of monopole insertion in topological insulators | 2019-09-03 | Paper |
| Chern numbers as half-signature of the spectral localizer | 2019-08-08 | Paper |
| Spectral Flow Argument Localizing an Odd Index Pairing | 2019-05-24 | Paper |
| Spectral flow for skew-adjoint Fredholm operators | 2019-03-20 | Paper |
| Parity flow as ${\mathbb Z}_2$-valued spectral flow | 2018-12-19 | Paper |
| Application of semifinite index theory to weak topological phases | 2018-11-22 | Paper |
| Topological boundary invariants for Floquet systems and quantum walks | 2018-08-27 | Paper |
| Topological edge states for disordered bosonic systems | 2018-04-16 | Paper |
| The non-commutative topology of two-dimensional dirty superconductors | 2018-04-11 | Paper |
| Finite volume calculation of \(K\)-theory invariants | 2017-09-29 | Paper |
| Signatures for ‐hermitians and ‐unitaries on Krein spaces with Real structures | 2017-09-22 | Paper |
| Generalized Connes–Chern characters inKK-theory with an application to weak invariants of topological insulators | 2016-12-14 | Paper |
| Topological insulators from the perspective of non-commutative geometry and index theory | 2016-11-28 | Paper |
| Krein signatures of transfer operators for half-space topological insulators | 2016-11-11 | Paper |
| Non-commutative odd Chern numbers and topological phases of disordered chiral systems | 2016-07-22 | Paper |
| Index pairings in presence of symmetries with applications to topological insulators | 2016-05-12 | Paper |
| \(\mathbb Z_{2}\)-indices and factorization properties of odd symmetric Fredholm operators | 2016-04-22 | Paper |
| The density of surface states as the total time delay | 2016-04-05 | Paper |
| Bulk and boundary invariants for complex topological insulators. From \(K\)-theory to physics | 2016-03-11 | Paper |
| Spectral flows associated to flux tubes | 2016-02-23 | Paper |
| Gaussian fluctuations of products of random matrices distributed close to the identity | 2015-06-22 | Paper |
| Spectral Flows of Dilations of Fredholm Operators | 2015-03-23 | Paper |
| Quantization of interface currents | 2015-01-19 | Paper |
| Signature and spectral flow of \(J\)-unitary \(\mathbb S^1\)-Fredholm operators | 2014-04-14 | Paper |
| Transport in the random Kronig-Penney model | 2014-01-14 | Paper |
| Persistence of spin edge currents in disordered quantum spin Hall systems | 2013-11-13 | Paper |
| Localization and Chern numbers for weakly disordered BdG operators | 2013-10-01 | Paper |
| Lyapunov spectra for all ten symmetry classes of quasi-one-dimensional disordered systems of non-interacting fermions | 2013-09-23 | Paper |
| Topological invariants of edge states for periodic two-dimensional models | 2013-08-19 | Paper |
| Orbital polarization and magnetization for independent particles in disordered media | 2013-05-13 | Paper |
| Scattering zippers and their spectral theory | 2013-03-20 | Paper |
| SCATTERING THEORY FOR LATTICE OPERATORS IN DIMENSION d ≥ 3 | 2012-11-15 | Paper |
| Sturm intersection theory for periodic Jacobi matrices and linear Hamiltonian systems | 2011-12-02 | Paper |
| Random Lie group actions on compact manifolds: a perturbative analysis | 2010-11-18 | Paper |
| The random phase property and the Lyapunov spectrum for disordered multi-channel systems | 2010-07-24 | Paper |
| Random Dirac operators with time reversal symmetry | 2010-07-02 | Paper |
| Geometry of Weyl theory for Jacobi matrices with matrix entries | 2010-06-21 | Paper |
| Low Density Expansion for Lyapunov Exponents | 2009-08-05 | Paper |
| Spectral averaging techniques for Jacobi matrices with matrix entries | 2009-05-19 | Paper |
| Spectral averaging techniques for Jacobi matrices | 2008-12-08 | Paper |
| Positive Lyapunov exponents and localization bounds for strongly mixing potentials | 2008-11-07 | Paper |
| Upper bounds on wavepacket spreading for random Jacobi matrices | 2008-09-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5387010 | 2008-05-14 | Paper |
| Scaling diagram for the localization length at a band edge | 2008-03-05 | Paper |
| Gaussian Fluctuations for Random Matrices with Correlated Entries | 2007-11-28 | Paper |
| Mott law as lower bound for a random walk in a random environment | 2007-10-22 | Paper |
| Lyapunov Exponents at Anomalies of SL(2, ℝ)-actions | 2007-09-24 | Paper |
| Semicircle law and freeness for random matrices with symmetries or correlations | 2005-09-26 | Paper |
| Boundary maps for \(C^*\)-crossed products with \(\mathbb R\) with an application to the quantum Hall effect | 2005-04-18 | Paper |
| Perturbation theory for Lyapunov exponents of an Anderson model on a strip | 2005-02-24 | Paper |
| Perturbative test of single parameter scaling for 1D random media | 2005-02-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4826396 | 2004-11-11 | Paper |
| Quantization of edge currents for continuous magnetic operators | 2004-08-16 | Paper |
| Weak disorder expansion for localization lengths of quasi-1D systems | 2004-05-06 | Paper |
| EDGE CURRENT CHANNELS AND CHERN NUMBERS IN THE INTEGER QUANTUM HALL EFFECT | 2003-08-17 | Paper |
| Delocalization in random polymer models | 2003-05-04 | Paper |
| Phase-averaged transport for quasi-periodic Hamiltonians | 2003-03-27 | Paper |
| Intermittent lower bound on quantum diffusion | 2002-07-08 | Paper |
| Homotopy arguments for quantized Hall conductivity | 2002-02-26 | Paper |
| A kinetic theory for quantum transport in aperiodic media | 2001-05-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4407898 | 2001-01-01 | Paper |
| UPPER BOUNDS FOR QUANTUM DYNAMICS GOVERNED BY JACOBI MATRICES WITH SELF-SIMILAR SPECTRA | 2000-12-04 | Paper |
| Simultaneous quantization of edge and bulk Hall conductivity | 2000-08-13 | Paper |
| Subdiffusive quantum transport for 3D Hamiltonians with absolutely continuous spectra | 2000-08-09 | Paper |
| Pointwise dimensions on real Julia sets | 2000-05-11 | Paper |
| Rigorous spectral analysis of the metal-insulator transition in a limit-periodic potential | 1999-10-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4230655 | 1999-02-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4946474 | 1999-01-01 | Paper |
| Anomalous Transport: A Mathematical Framework | 1998-11-29 | Paper |
| The noncommutative geometry of the quantum Hall effect | 1995-04-05 | Paper |
