Publications
Publications
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2023
Ballesteros M. , Franco G. , Naumkin I. , Schulz-Baldes H. Levinson theorem for discrete Schrödinger operators on the line with matrix potentials having a first moment Communications in Contemporary Mathematics 2023 )ISSN: 0219-1997 Download Bereyhi A. , Loureiro B. , Krzakala F. , Müller R. , Schulz-Baldes H. Bayesian Inference with Nonlinear Generative Models: Comments on Secure Learning IEEE Transactions on Information Theory 2023 ), p. 1-1 ISSN: 0018-9448 10.1109/TIT.2023.3325187 Download Cerjan A. , Koekenbier L. , Schulz-Baldes H. Spectral localizer for line-gapped non-Hermitian systems Journal of Mathematical Physics 64 2023 ), Article No.: 082102 ISSN: 0022-2488 10.1063/5.0150995 Download De Moor J. Dorsch F. , Schulz-Baldes H. Partially hyperbolic random dynamics on Grassmannians Journal of Mathematical Physics 64 2023 ), Article No.: 082702 ISSN: 0022-2488 10.1063/5.0146402 Download De Moor J. Sadel C. , Schulz-Baldes H. Footprint of a topological phase transition on the density of states Letters in Mathematical Physics 113 2023 ), Article No.: 96 ISSN: 0377-9017 10.1007/s11005-023-01719-2 Download Doll N. , Schulz-Baldes H. Waterstraat N. :Spectral flow: A functional analytic and index-Theoretic approach Berlin, Boston De Gruyter 2023 ISBN: 9783111172477 10.1515/9783111172477 Download Schulz-Baldes H. Stoiber T. :Callias-type operators associated to spectral triples Journal of Noncommutative Geometry 17 2023 ), p. 527-572 ISSN: 1661-6952 10.4171/JNCG/505 Download Schulz-Baldes H. Stoiber T. :Spectral localization for semimetals and Callias operators Journal of Mathematical Physics 64 2023 ), Article No.: 081901 ISSN: 0022-2488 10.1063/5.0093983 Download Schulz-Baldes H. Stoiber T. :The generators of the K-groups of the sphere Expositiones Mathematicae 41 2023 ), Article No.: 125519 ISSN: 0723-0869 10.1016/j.exmath.2023.125519 Download
2022
Ballesteros M. , Franco G. , Garro G. , Schulz-Baldes H. Band Edge Limit of the Scattering Matrix for Quasi-One-Dimensional Discrete Schrodinger Operators Complex Analysis and Operator Theory 16 2022 )ISSN: 1661-8254 10.1007/s11785-022-01196-w Download Bereyhi A. , Loureiro B. , Krzakala F. , Müller R. , Schulz-Baldes H. Secure Coding via Gaussian Random Fields 2022 IEEE International Symposium on Information Theory, ISIT 2022 (Espoo 26-06-2022 - 01-07-2022 )In: IEEE International Symposium on Information Theory - Proceedings 2022 10.1109/ISIT50566.2022.9834788 Download Bereyhi A. , Müller R. , Schulz-Baldes H. 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) 10.1007/978-3-031-09745-4_5 Download Dorsch F. , Schulz-Baldes H. RANDOM MOBIUS DYNAMICS ON THE UNIT DISC AND PERTURBATION THEORY FOR LYAPUNOV EXPONENTS Discrete and Continuous Dynamical Systems-Series B 2022 ), p. 945-976 ISSN: 1531-3492 10.3934/dcdsb.2021076 Download Schulz-Baldes H. Reduced transfer operators for singular difference equations Journal of Difference Equations and Applications 2022 )ISSN: 1023-6198 10.1080/10236198.2022.2147002 Download Schulz-Baldes H. Stoiber T. :Harmonic analysis in operator algebras and its applications to index theory and topological solid state systems Cham Springer 2022 10.1007/978-3-031-12201-9 Download Schulz-Baldes H. Stoiber T. :Invariants of disordered semimetals via the spectral localizer EPL - Europhysics Letters 136 2022 )ISSN: 0295-5075 10.1209/0295-5075/ac1b65 https://iopscience.iop.org/article/10.1209/0295-5075/ac1b65/pdf Download
2019
Bereyhi A. , Müller R. , Schulz-Baldes H. Statistical Mechanics of MAP Estimation: General Replica Ansatz IEEE Transactions on Information Theory 65 2019 ), p. 7896-7934 ISSN: 0018-9448 10.1109/TIT.2019.2937335 Download Carey AL. , Phillips J. , Schulz-Baldes H. Spectral flow for skew-adjoint Fredholm operators Journal of Spectral Theory 9 2019 ), p. 137-170 ISSN: 1664-039X 10.4171/JST/243 Download Carey AL. , Schulz-Baldes H. Spectral Flow of Monopole Insertion in Topological Insulators Communications in Mathematical Physics 370 2019 ), p. 895-923 ISSN: 0010-3616 10.1007/s00220-019-03310-0 Download Doll N. , Schulz-Baldes H. Waterstraat N. :Parity as Z2-valued spectral flow Bulletin of the London Mathematical Society 51 2019 ), p. 836-852 ISSN: 0024-6093 10.1112/blms.12282 Download Dorsch F. , Schulz-Baldes H. Random perturbations of hyperbolic dynamics Electronic Journal of Probability 24 2019 ), p. 23 pp. ISSN: 1083-6489 10.1214/19-EJP340 Download Großmann J. , Schulz-Baldes H. Villegas-Blas C. :Erratum: Oscillation theory for the density of states of high dimensional random operators (International Mathematics Research Notices DOI: 10.1093/imrn/rnx246) International Mathematics Research Notices 2019 2019 ), p. 4898- ISSN: 1073-7928 10.1093/imrn/rnx317 Download Loring T. , Schulz-Baldes H. Spectral flow argument localizing an odd index pairing Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques 62 2019 ), p. 373 - 381 ISSN: 0008-4395 10.4153/CMB-2018-013-x Download Lozano Viesca E. , Schober J. , Schulz-Baldes H. Chern numbers as half-signature of the spectral localizer Journal of Mathematical Physics 60 2019 ), Article No.: 0721011 ISSN: 0022-2488 10.1063/1.5094300 Download
2017
Bereyhi A. , Schulz-Baldes H. Müller R. :Replica Symmetry Breaking in Compressive Sensing Information Theory and Applications Workshop (ITA) (San Diego, CA 12-02-2017 - 17-02-2017 )10.1109/ITA.2017.8023461 Download Großmann J. , Schulz-Baldes H. Villegas-Blas C. :Oscillation theory for the density of states of high dimensional random operators International Mathematics Research Notices 2019 2017 ), p. 4579–4602 ISSN: 1073-7928 10.1093/imrn/rnx246 Download Sadel CH. , Schulz-Baldes H. Topological boundary invariants for Floquet systems and quantum walks Mathematical Physics Analysis and Geometry 20 2017 ), Article No.: 22 ISSN: 1385-0172 10.1007/s11040-017-9253-1 https://link.springer.com/article/10.1007/s11040-017-9253-1 Download Schulz-Baldes H. Loring T. :Finite volume calculation of K-theory invariants New York Journal of Mathematics 22 2017 ), p. 1111 - 1140 ISSN: 1076-9803 Download Schulz-Baldes H. Villegas-Blas C. :Signatures for J-hermitians and J-unitaries on Krein spaces with Real structures Mathematische Nachrichten 290 2017 ), p. 1840-1858 ISSN: 0025-584X Download
2016
Bereyhi A. , Müller R. , Schulz-Baldes H. RSB decoupling property of MAP estimators 2016 IEEE Information Theory Workshop (ITW) (Cambridge, London In: 2016 IEEE Information Theory Workshop (ITW) 2016 10.1109/ITW.2016.7606860 Download Großmann J. , Schulz-Baldes H. Index Pairings in Presence of Symmetries with Applications to Topological Insulators Communications in Mathematical Physics 343 2016 ), p. 477-513 ISSN: 0010-3616 10.1007/s00220-015-2530-6 http://link.springer.com/article/10.1007/s00220-015-2530-6 Download Prodan E. , Schulz-Baldes H. Bulk and Boundary Invariants for Complex Topological Insulators Springer International Publishing 2016 ISBN: 978-3-319-29350-9 10.1007/978-3-319-29351-6 Download Prodan E. , Schulz-Baldes H. Generalized Connes-Chern characters in KK-theory with an application to weak invariants of topological insulators Reviews in Mathematical Physics 28 2016 ), Article No.: 1650024 ISSN: 0129-055X 10.1142/S0129055X16500240 https://www.worldscientific.com/doi/abs/10.1142/S0129055X16500240 Download Prodan E. , Schulz-Baldes H. Non-commutative odd Chern numbers and topological phases of disordered chiral systems Journal of Functional Analysis 271 2016 ), p. 1150-1176 ISSN: 0022-1236 10.1016/j.jfa.2016.06.001 http://de.arxiv.org/abs/1402.5002 Download Schulz-Baldes H. The density of surface states as the total time delay Letters in Mathematical Physics 106 2016 ), p. 485-507 ISSN: 0377-9017 10.1007/s11005-016-0825-y http://link.springer.com/article/10.1007/s11005-016-0825-y Download Schulz-Baldes H. Topological insulators from the perspective of non-commutative geometry and index theory Jahresbericht der deutschen Mathematiker-Vereinigung 118 2016 ), p. 247–273 ISSN: 0012-0456 Download Schulz-Baldes H. Villegas-Blas C. :Krein signatures of transfer operators for half-space topological insulators Journal of Physics A: Mathematical and Theoretical 49 2016 ), p. 19pp ISSN: 1751-8113 Download de Nittis G. , Schulz-Baldes H. Spectral flows associated to flux tubes Annales Henri Poincaré 17 2016 ), p. 1-35 ISSN: 1424-0637 10.1007/s00023-014-0394-5 http://link.springer.com/article/10.1007/s00023-014-0394-5 Download
2013
Avila JC. , Schulz-Baldes H. Villegas-Blas C. :Topological invariants of edge states for periodic two-dimensional models Mathematical Physics Analysis and Geometry 16 2013 ), p. 136-170 ISSN: 1385-0172 10.1007/s11040-012-9123-9 http://de.arxiv.org/abs/1202.0537 Download Laurent M. , Schulz-Baldes H. Scattering zippers and their spectral theory Journal of Spectral Theory 3 2013 ), p. 47-82 ISSN: 1664-039X http://de.arxiv.org/abs/1112.4959 Download Ludwig AWW. , Schulz-Baldes H. Stolz M. :Lyapunov spectra for all symmetry classes of quasi-one-dimensional disordered systems of non-interacting Fermions Journal of Statistical Physics 152 2013 ), p. 275-304 ISSN: 0022-4715 10.1007/s10955-013-0764-2 http://de.arxiv.org/abs/1212.0322 Download Schulz-Baldes H. Persistence of spin edge currents in disordered quantum spin Hall systems Communications in Mathematical Physics 324 2013 ), p. 589-600 ISSN: 0010-3616 10.1007/s00220-013-1814-y http://de.arxiv.org/abs/1207.2480 Download Schulz-Baldes H. Teufel S. :Orbital polarization and magnetization for independent particles in disordered media Communications in Mathematical Physics 319 2013 ), p. 649-681 ISSN: 0010-3616 10.1007/s00220-012-1639-0 http://de.arxiv.org/abs/1201.4812 Download
2007
Jitomirskaya S. , Schulz-Baldes H. Upper bounds on wavepacket spreading for random Jacobi matrices Communications in Mathematical Physics 273 2007 ), p. 601-618 ISSN: 0010-3616 10.1007/s00220-007-0252-0 http://de.arxiv.org/abs/math-ph/0607029 Download Sadel CH. , Schulz-Baldes H. Scaling diagram for the localization length at a band edge Annales Henri Poincaré 8 2007 ), p. 1595-1621 ISSN: 1424-0637 10.1007/s00023-007-0347-3 http://de.arxiv.org/abs/math-ph/0702051 Download Schulz-Baldes H. Lyapunov Exponents at Anomalies of SL(2, ℝ)-actions In: Jan Janas, Pavel Kurasov, Ari Laptev, Sergei Naboko, Günter Stolz (ed.): Operator Theory, Analysis and Mathematical Physics Basel Birkhäuser 2007 , p. 159-172 (Operator Theory: Advances and Applications, Vol.174)ISBN: 978-3-7643-8134-9 10.1007/978-3-7643-8135-6_10 http://de.arxiv.org/abs/math-ph/0607026 Download Schulz-Baldes H. Rotation numbers for Jacobi matrices with matrix entries Mathematical Physics Electronic Journal 13 2007 ), p. 1-40 ISSN: 1086-6655 http://de.arxiv.org/abs/math-ph/0702050 Download Schulz-Baldes H. Schenker J. :Gaussian fluctuations for random matrices with correlated entries International Mathematics Research Notices 15 2007 ), p. 1-36 ISSN: 1073-7928 10.1093/imrn/rnm047 http://de.arxiv.org/abs/math-ph/0607028 Download
2004
Kellendonk J. , Schulz-Baldes H. Boundary maps for C**-crossed products with R with an application to the quantum Hall effect Communications in Mathematical Physics 249 2004 ), p. 611-637 ISSN: 0010-3616 10.1007/s00220-004-1122-7 http://de.arxiv.org/abs/math-ph/0405022 Download Kellendonk J. , Schulz-Baldes H. Quantization of edge currents of continuous magnetic operators Journal of Functional Analysis 209 2004 ), p. 388-413 ISSN: 0022-1236 10.1016/S0022-1236(03)00174-5 http://de.arxiv.org/abs/math-ph/0405021 Download Römer RA. , Schulz-Baldes H. Weak disorder expansion for localization lengths of quasi-1D systems EPL - Europhysics Letters 68 2004 ), p. 247-253 ISSN: 0295-5075 10.1209/epl/i2004-10190-9 http://de.arxiv.org/abs/cond-mat/0405125 Download Schrader R. , Schulz-Baldes H. Sedrakyan A. :Perturbative test of single parameter scaling for 1D random media Annales Henri Poincaré 5 2004 ), p. 1159-1180 ISSN: 1424-0637 10.1007/s00023-004-0195-3 http://de.arxiv.org/abs/cond-mat/0405125 Download Schulz-Baldes H. Lifshitz tails for the 1D Bernoulli-Anderson model Markov Processes and Related Fields 9 2004 ), p. 795-802 ISSN: 1024-2953 http://de.arxiv.org/abs/math-ph/0405020 Download Schulz-Baldes H. Perturbation theory for Lyapunov exponents of an Anderson model on a strip Geometric and Functional Analysis 14 2004 ), p. 1089-1117 ISSN: 1016-443X 10.1007/s00039-004-0484-5 http://de.arxiv.org/abs/math-ph/0405018 Download
