Publications of H. Schulz-Baldes:


[74] Terry Loring, H. Schulz-Baldes:  Spectral flow argument localizing an odd index pairing, preprint 2018, to appear in Cand. Bull. Math.. link

[73] Terry Loring, H. Schulz-Baldes: The spectral localizer for even index pairings, preprint 2018. link

[72] Julian Grossmann, H. Schulz-Baldes, Carlos Villegas-Blas: Oscillation theory for the density of states of high dimensional random operators, preprint 2017, to appear in IMRN, link

[70] Alan Carey, H. Schulz-Baldes: Laughlin arguments in arbitrary dimensions, preprint 2017, link

[71] Ali Bereyhi, Ralf R. Müller, H. Schulz-Baldes: Statistical Mechanics of MAP Estimation: General Replica Ansatz, preprint 2016. link

[70] Alan L. Carey, John Phillips, H. Schulz-Baldes:
Spectral flow for real skew-adjoint Fredholm operators,
preprint 2016, to appear in J. Spec. Theory.  link

Publications 2018:

[69] Vittorio Peano, H. Schulz-Baldes: Topological edge states for disordered bosonic systems, J. Math. Phys. 59, 031901 (2018). link

[68] Giuseppe De Nittis, H. Schulz-Baldes: The non-commutative topology of two-dimensional dirty superconductors, Journal of Geometry and Physics 124, 100-123 (2018) link

[67] Chris Bourne, H. Schulz-Baldes: Application of semifinite index theory to weak topological phases, In: Wood D., de Gier J., Praeger C., Tao T. (eds) 2016 MATRIX Annals. MATRIX Book Series, vol 1. (Springer, Cham, 2018). link

Publications 2017:

[66] Christian Sadel, H. Schulz-Baldes: Topological boundary invariants for Floquet systems and quantum walks, Math. Phys., Analysis, Geometry 20, 22  (2018). link

[65] Ali Bereyhi, Ralf R. Müller, H. Schulz-Baldes: Replica Symmetry Breaking in Compressive Sensing, Information Theory and Applications Workshop (ITA), 2017, 1-7,  2017. link

[64] Terry Loring, H. Schulz-Baldes: Finite volume calculation of K-theory invariants, New York J. Math. 22, 1111-1140 (2017). link

[63] H. Schulz-Baldes, Carlos Villegas-Blas: Signatures for J-hermitians and J-unitaries on Krein spaces with Real structures, Mathematische Nachrichten 290, 1840-1858 (2017).  link 

Publications 2016:

[62] Emil Prodan, H. Schulz-Baldes:
Generalized Connes-Chern characters in KK-theory with an application to weak invariants of topological insulators,
Rev. Math. Phys. 28, 1650024 (2016).  link

[61] Ali Bereyhi, Ralf R. Müller, H. Schulz-Baldes:
RSB Decoupling Property of MAP Estimators,
IEEE, Information Theory Workshop (2016) link

[60] H. Schulz-Baldes:
Topological insulators from the perspective of non-commutative geometry and index theory,
Jahresber Dtsch Math-Ver  118, 247–273 (2016).  link

[59] H. Schulz-Baldes, Carlos Villegas-Blas:
Krein signatures of transfer operators for half-space topological insulators,
J. Phys. A: Math. Theor. 49, 405201 (19pp)  (2016).  link

[58] Emil Prodan, H. Schulz-Baldes:
Non-commutative odd Chern numbers and topological phases of disordered chiral systems,
Journal Funct. Anal. 271, 1150–1176 (2016).  Opens external link in new windowlink

[57] Emil Prodan, H. Schulz-Baldes:
Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics,
Springer Series Mathematical Physics Studies, (Springer Int. Pub., Switzerland, 2016).  link

[56] Julian Grossmann, H. Schulz-Baldes:
Index pairings in presence of symmetries with applications to topological insulators,
Commun. Math. Phys. 343, 477-513 (2016)   Opens external link in new windowlink

[55] Giuseppe De Nittis, H. Schulz-Baldes:
Spectral flows associated to flux tubes,
Annales H. Poincare 17,  1-35 (2016)  Opens external link in new windowlink

[54] H. Schulz-Baldes:
The density of surface states as the total time delay, 
Lett. Math. Phys. 106, 485-507 (2016). Opens external link in new windowlink

Publications 2015:

[53] Maxim Drabkin, H. Schulz-Baldes:
Gaussian fluctuations of products of random matrices distributed close to the identity, 
J. Difference Equations and Applications 21, 467-485 (2015)  Opens external link in new windowlink

[52] Giuseppe De Nittis, H. Schulz-Baldes:
Spectral flows of dilations of Fredholm operators,
Canadian Math. Bulletin 58, 51-68 (2015)  Opens external link in new windowlink

[51] H. Schulz-Baldes:
Z_2 indices and factorization properties of odd symmetric Fredholm operators,
Dokumenta Mathematica 20, 1481-1500 (2015)  Opens external link in new windowlink

[50] Giuseppe De Nittis, Maxim Drabkin, H. Schulz-Baldes:
Localization and Chern numbers for weakly disordered BdG operators,
Markov Process Related Fields 21, 463-482 (2015)  Opens external link in new windowlink

Publications 2014:

[49] Motoko Kotani, H. Schulz-Baldes, Carlos Villegas-Blas:
Quantization of interface currents,
J. Math. Physics  55, 121901 (2014)  Opens external link in new windowlink

[48] H. Schulz-Baldes:
Signature and spectral flow for J-unitary S^1 Fredholm operators, 
Integral Equations and Operator Theory 78, 323-374 (2014) link

Publications 2013:

[47] Andreas W.A. Ludwig, H. Schulz-Baldes, Michael Stolz:
Lyapunov spectra for all symmetry classes of quasi-one-dimensional disordered systems of non-interacting Fermions, 
J. Stat. Phys. 152, 275-304 (2013) link 

[46] H. Schulz-Baldes:
Persistence of spin edge currents in disordered quantum spin Hall systems, 
Commun. Math. Phys. 324 589-600 (2013) link 

[45] Julio Cesar Avila, H. Schulz-Baldes, Carlos Villegas-Blas:
Topological invariants of edge states for periodic two-dimensional models,
Mathematical Physic, Analysis and Geometry 16, 136-170 (2013)  link

[44] H. Schulz-Baldes, Stefan Teufel:
Orbital polarization and magnetization for independent particles in disordered media,
Commun. Math. Phys. 319, 649-681 (2013) link

[43] Laurent Marin, H. Schulz-Baldes:
Scattering zippers and their spectral theory,
J. Spectral Theory 3,  47-82 (2013) link

Publications 2012:

[42] Maxim Drabkin, Werner Kirsch, H. Schulz-Baldes:
Transport in the random Kronig-Penney model, 
J. Math. Phys. 53, 122109 (2012) link

[41] Jean Bellissard, H. Schulz-Baldes:
Scattering theory for lattice operators in dimension $d\geq 3$,
Reviews Math. Phys. 24, 1250020, 51 pages (2012) link

[40] H. Schulz-Baldes:
Sturm intersection theory for periodic Jacobi matrices and linear Hamiltonian systems,
Lin. Alg. Appl. 436, 498-515 (2012). link

Publications 2010:

[39] Rudolf Roemer, H. Schulz-Baldes:
Random phase property and the Lyapunov spectrum for disordered multi-channel systems,
J. Stat. Phys. 140, 122-153 (2010). link

[38] Christian Sadel, H. Schulz-Baldes:
Random Dirac operators with time reversal symmetry,
Commun. Math. Phys. 295, 209-242 (2010). link

[37] H. Schulz-Baldes:
Geometry of Weyl theory for Jacobi matrices with matrix entries,
J. d'Analyse Mathematique 110, 129-165 (2010). link

[36] Christian Sadel, H. Schulz-Baldes:
Random Lie Group actions on compact manifolds: a perturbative analysis,
Annals of Probability 38, 2224-2257 (2010) link

Publications 2009:

[35] Christian Sadel, H. Schulz-Baldes:
Spectral averaging techniques for Jacobi matrices with matrix entries,
J. Phys. A 42, 185204-185217 (2009). link

Publications 2008:

[34] Rafael del Rio, Carmen Martinez, H. Schulz-Baldes:
Spectral averaging techniques for Jacobi matrices,
J. Math. Phys. 49, 023507-023520 (2008). link

[33] Christian Sadel, H. Schulz-Baldes:
Positive Lyapunov exponents and localization bounds for strongly mixing potentials,
Adv. Theo. Math. Phys. 12, 1377-1400 (2008). link

Publications 2007:

[32] Christian Sadel, H. Schulz-Baldes:
Scaling diagram for the localization length at a band edge,
Annales Henri Poincare 8, 1595-1621 (2007). link

[31] H. Schulz-Baldes:
Rotation numbers for Jacobi matrices with matrix entries,
Electronic J. Mathematical Physics, 40 pages, (2007). link

[30] Svetlana Jitomirskaya, H. Schulz-Baldes:
Upper bounds on wavepacket spreading for random Jacobi matrices,
Commun. Math Phys. 273, 601-618 (2007). link

[29] Jeffrey Schenker, H. Schulz-Baldes:
Gaussian fluctuations for random matrices with correlated entries,
Int. Math. Research Notices 15, article ID rnm047, 36 pages (2007). link

[28] H. Schulz-Baldes:
Lyapunov exponents at anomalies of SL(2,R)-actions,
Operator Theory: Advances and Applications 174, 159-172, Birkhaeuser (2007) link

Publications 2006:

[27] H. Schulz-Baldes:
Low density expansion for Lyapunov exponents,
Mathematical Physics of Quantum Mechanics, Eds. Asch, Joye, 343-350, Springer (2006) link

[26] A. Faggionato, H. Schulz-Baldes, D. Spehner:
Mott law as lower bound for a random walk in a random environment,
Commun. Math. Phys. 263, 21-64, (2006) link

Publications 2005:

[25] J. Schenker, H. Schulz-Baldes:
Semicircle law and freeness for random matrices with symmetries or correlations,
Mathematical Research Letters 12, 531-542 (2005) link

Publications 2004:

[24] R. Roemer, H. Schulz-Baldes:
Weak disorder expansion for localization lengths of quasi-1D systems,
Euro. Phys. Lett. 68, 247-253 (2004). link

[23] R. Schrader, H. Schulz-Baldes, A. Sedrakyan:
Perturbative test of single parameter scaling for 1D random media,
Ann. H. Poincare 5, 1159 - 1180 (2004). link

[22] H. Schulz-Baldes:
Perturbation theory for Lyapunov exponents of an Anderson model on a strip, 
GAFA. 14, 1089-1117 (2004). link

[21] H. Schulz-Baldes:
Lifshitz tails for the 1D Bernoulli-Anderson model,
Markow Processes and Related Fields 9, 795-802 (2004). link

[20] J. Kellendonk, H. Schulz-Baldes:
Boundary maps for C*-crossed products with R with an application to the quantum Hall effect, 
Commun. Math. Phys. 249, 611-637 (2004). link

[19] J. Kellendonk, H. Schulz-Baldes:
Quantization of edge currents of continuous magnetic operators, 
J. Funct. Anal. 209, 388-413 (2004). link

Publications 2003:

[18] S. Jitormiskaya, H. Schulz-Baldes, G. Stolz:
Delocalization in random polymer models,
Commun. Math. Phys. 233, 27-48 (2003). link

Publications 2002:

[17] J. Bellissard, I. Guarneri, H. Schulz-Baldes:
Phase-averaged transport for quasiperiodic Hamiltonians,
Commun. Math. Phys. 227, 515-539 (2002). link

[16] J. Kellendonk, T. Richter, H. Schulz-Baldes:
Edge channels and Chern numbers in the integer quantum Hall effect,
Rev. Math. Phys. 14, 87-119 (2002). link

Publications 2001:

[15] T. Richter, H. Schulz-Baldes:
Homotopy arguments for quantized Hall conductivity,
J. Math. Phys. 42, 3439-3444 (2001). link

Publications 2000:

[14] H. Schulz-Baldes:
Anomalous transport: a review,
Proceedings of the International Congress of Mathematical Physics, London (2000). link

[13] H. Schulz-Baldes, J. Kellendonk, T. Richter:
Similtaneous quantization of edge and bulk Hall conductivity,
J. Phys. A 33, L27-L32 (2000). link

[12] J. Bellissard, H. Schulz-Baldes:
Subdiffusive quantum transport for 3D-Hamiltonians with absolutely continuous spectra,
J. Stat. Phys. 99, 587-594 (2000). link

Publication prior to 2000:

[11] I. Guarneri, H. Schulz-Baldes:
Intermittent lower bound on quantum diffusion,
Lett. Math. Phys. 49, 317-324 (1999). link

[10] J.-M. Barbaroux, H. Schulz-Baldes:
Anomalous transport in presence of singular continuous spectral measures,
Annales Inst. H. Poincare - Phys. theo. 71, 539-559 (1999). link

[9] H. Schulz-Baldes:
Pointwise dimensions on real Julia sets, 
J. Phys. A 32, 2887-2894 (1999).

[8] I. Guarneri, H. Schulz-Baldes:
Lower bounds on wave packet propagation by packing dimensions of spectral measures,
Elec. J. Math. Phys. 5, (1999). link

[7] I. Guarneri, H. Schulz-Baldes:
Upper bounds for quantum dynamics governed by Jacobi matrices with self-similar measures,
Rev. Math. Phys. 11, 1249-1268 (1999). link

[6] H. Schulz-Baldes, J. Bellissard:
A Kinetic Theory for Quantum Transport in Aperiodic Media, 
J. Stat. Phys. 91, 991-1027, (1998). link

[5] H. Schulz-Baldes, M. Zarrouati:
Rigorous spectral analysis of the metal-insulator transition in a limit-periodic potential, 
J. Stat. Phys. 91, 801-806, (1998). link

[4] H. Schulz-Baldes, J. Bellissard:
Anomalous transport: a mathematical framework,
Rev. Math. Phy. 10, 1-46 (1998). link

[3] H. Schulz-Baldes:
Anomalous Drude Model, 
Phys. Rev. Lett. 77, 2176 (1997). link

[2] J. Bellissard, H. Schulz-Baldes:
Anomalous transport in quasicrystals, 
in Proceedings of the 5th International Conference on Quasicrystals, Editors C. Janot, R. Mosseri, 371-376 (World Scientific, Singapore, 1995).

[1] J. Bellissard, A. van Elst, H. Schulz-Baldes:
The non-commutative geometry of the quantum Hall effect, 
J. Math. Phys. 35, 5373-5451 (1994) link