FAU LMQ welcomes two new members
The FAU Profile Center Light.Matter.QuantumTechnologies will be further strengthened by two new members: Jens Fürst, Department of Mechanical Engineering, Hermann…
Prof. Dr. Hermann Schulz-Baldes
Department of Mathematics
Professorship of Mathematics (Mathematical Physics) (Prof. Dr. Schulz-Baldes)
Cauerstraße 11
91058 Erlangen
- Phone number: +49 9131 85-67103
- Fax number: +49 9131 85-67075
- Email: schuba@mi.uni-erlangen.de
- Website: https://www.math.fau.de/mathematische-physik/hermann-schulz-baldes/
Posts
Publications
- , , :
Scaling of the Lyapunov Exponent at a Balanced Hyperbolic Critical Point
In: Annales Henri Poincaré (2025)
ISSN: 1424-0637
DOI: 10.1007/s00023-025-01594-8 - , , :
Topological indices for periodic gapped Hamiltonians and fuzzy tori
In: Mathematical Physics Analysis and Geometry 28 (2025), Article No.: 13
ISSN: 1385-0172
DOI: 10.1007/s11040-025-09508-0
- , , :
Local Markers for Crystalline Topology
In: Physical Review Letters 132 (2024), Article No.: 073803
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.132.073803 - , :
Transfer matrix analysis of non-Hermitian Hamiltonians: asymptotic spectra and topological eigenvalues
In: Journal of Spectral Theory 14 (2024), p. 1563-1622
ISSN: 1664-039X
DOI: 10.4171/JST/524 - :
Topological Indices in Condensed Matter
Elsevier, 2024
ISBN: 9780323957069
DOI: 10.1016/B978-0-323-95703-8.00041-0
- , , , :
Levinson theorem for discrete Schrödinger operators on the line with matrix potentials having a first moment
In: Communications in Contemporary Mathematics (2023)
ISSN: 0219-1997 - , , , , :
Bayesian Inference with Nonlinear Generative Models: Comments on Secure Learning
In: IEEE Transactions on Information Theory (2023), p. 1-1
ISSN: 0018-9448
DOI: 10.1109/TIT.2023.3325187 - , , :
Spectral localizer for line-gapped non-Hermitian systems
In: Journal of Mathematical Physics 64 (2023), Article No.: 082102
ISSN: 0022-2488
DOI: 10.1063/5.0150995 - , , :
Partially hyperbolic random dynamics on Grassmannians
In: Journal of Mathematical Physics 64 (2023), Article No.: 082702
ISSN: 0022-2488
DOI: 10.1063/5.0146402 - , , :
Footprint of a topological phase transition on the density of states
In: Letters in Mathematical Physics 113 (2023), Article No.: 96
ISSN: 0377-9017
DOI: 10.1007/s11005-023-01719-2 - , , :
Spectral Flow. A Functional Analytic and Index-Theoretic Approach
Berlin / Boston: De Gruyter, 2023
(De Gruyter Studies in Mathematics, Vol.94)
ISBN: 9783111169897
DOI: 10.1515/9783111172477 - , , :
Spectral flow: A functional analytic and index-Theoretic approach
Berlin, Boston: De Gruyter, 2023
(De Gruyter Studies in Mathematics)
ISBN: 9783111172477
DOI: 10.1515/9783111172477 - , :
Callias-type operators associated to spectral triples
In: Journal of Noncommutative Geometry 17 (2023), p. 527-572
ISSN: 1661-6952
DOI: 10.4171/JNCG/505 - , :
Spectral localization for semimetals and Callias operators
In: Journal of Mathematical Physics 64 (2023), Article No.: 081901
ISSN: 0022-2488
DOI: 10.1063/5.0093983 - , :
The generators of the K-groups of the sphere
In: Expositiones Mathematicae 41 (2023), Article No.: 125519
ISSN: 0723-0869
DOI: 10.1016/j.exmath.2023.125519
- , , , :
Band Edge Limit of the Scattering Matrix for Quasi-One-Dimensional Discrete Schrodinger Operators
In: Complex Analysis and Operator Theory 16 (2022)
ISSN: 1661-8254
DOI: 10.1007/s11785-022-01196-w - , , , , :
Secure Coding via Gaussian Random Fields
2022 IEEE International Symposium on Information Theory, ISIT 2022 (Espoo, 26. June 2022 - 1. July 2022)
In: IEEE International Symposium on Information Theory - Proceedings 2022
DOI: 10.1109/ISIT50566.2022.9834788 - , , :
Analysis of Sparse Recovery Algorithms via the Replica Method
In: Gitta Kutyniok, Holger Rauhut, Robert J. Kunsch (ed.): Compressed Sensing in Information Processing, Cham: Birkhäuser, 2022, p. 145-179 (Applied and Numerical Harmonic Analysis)
DOI: 10.1007/978-3-031-09745-4_5 - , :
RANDOM MOBIUS DYNAMICS ON THE UNIT DISC AND PERTURBATION THEORY FOR LYAPUNOV EXPONENTS
In: Discrete and Continuous Dynamical Systems-Series B (2022), p. 945-976
ISSN: 1531-3492
DOI: 10.3934/dcdsb.2021076 - :
Reduced transfer operators for singular difference equations
In: Journal of Difference Equations and Applications (2022)
ISSN: 1023-6198
DOI: 10.1080/10236198.2022.2147002 - , :
Applications to Solid State Systems
DOI: 10.1007/978-3-031-12201-9_5 - , :
Besov Spaces for Isometric G-Actions
DOI: 10.1007/978-3-031-12201-9_2 - , :
Duality for Toeplitz Extensions
DOI: 10.1007/978-3-031-12201-9_4 - , :
Harmonic analysis in operator algebras and its applications to index theory and topological solid state systems
Cham: Springer, 2022
(Mathematical Physics Studies)
DOI: 10.1007/978-3-031-12201-9 - , :
Invariants of disordered semimetals via the spectral localizer
In: EPL - Europhysics Letters 136 (2022)
ISSN: 0295-5075
DOI: 10.1209/0295-5075/ac1b65
URL: https://iopscience.iop.org/article/10.1209/0295-5075/ac1b65/pdf - , :
Preface and Overview - , :
Preliminaries on Crossed Products
DOI: 10.1007/978-3-031-12201-9_1 - , :
Quantum Differentiation and Index Theorems
DOI: 10.1007/978-3-031-12201-9_3