Publications
Publications
Publications on Google Scholar
2022
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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
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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
DOI: 10.1109/ISIT50566.2022.9834788
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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
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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
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Reduced transfer operators for singular difference equations
In: Journal of Difference Equations and Applications (2022)
ISSN: 1023-6198
DOI: 10.1080/10236198.2022.2147002
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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
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2021
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Analyticity properties of the scattering matrix for matrix Schrödinger operators on the discrete line
In: Journal of Mathematical Analysis and Applications 497 (2021), Article No.: 124856
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2020.124856
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Skew localizer and Z2-flows for real index pairings
In: Advances in Mathematics 392 (2021), Article No.: 108038
ISSN: 0001-8708
DOI: 10.1016/j.aim.2021.108038
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The spectral localizer for semifinite spectral triples
In: Proceedings of the American Mathematical Society 149 (2021), p. 121-134
ISSN: 0002-9939
DOI: 10.1090/proc/15230
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Dimensional Reduction and Scattering Formulation for Even Topological Invariants
In: Communications in Mathematical Physics 381 (2021), p. 119-142
ISSN: 0010-3616
DOI: 10.1007/s00220-020-03886-y
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2020
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On Z(2)-indices for ground states of fermionic chains
In: Reviews in Mathematical Physics 32 (2020)
ISSN: 0129-055X
DOI: 10.1142/S0129055X20500282
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Approximate symmetries and conservation laws in topological insulators and associated Z-invariants
In: Annals of Physics 419 (2020), Article No.: 168238
ISSN: 0003-4916
DOI: 10.1016/j.aop.2020.168238
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Pseudo-gaps for random hopping models
In: Journal of Physics A: Mathematical and Theoretical 53 (2020)
ISSN: 1751-8113
DOI: 10.1088/1751-8121/ab5e8c
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The spectral localizer for even index pairings
In: Journal of Noncommutative Geometry 14 (2020), p. 1-23
ISSN: 1661-6952
DOI: 10.4171/JNCG/357
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Space versus energy oscillations of prÜfer phases for matrix sturm-liouville and jacobi operators
In: Electronic Journal of Differential Equations 2020 (2020), p. 1-23
ISSN: 1072-6691
URL: https://ejde.math.txstate.edu/
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2019
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Statistical Mechanics of MAP Estimation: General Replica Ansatz
In: IEEE Transactions on Information Theory 65 (2019), p. 7896-7934
ISSN: 0018-9448
DOI: 10.1109/TIT.2019.2937335
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Spectral flow for skew-adjoint Fredholm operators
In: Journal of Spectral Theory 9 (2019), p. 137-170
ISSN: 1664-039X
DOI: 10.4171/JST/243
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Spectral Flow of Monopole Insertion in Topological Insulators
In: Communications in Mathematical Physics 370 (2019), p. 895-923
ISSN: 0010-3616
DOI: 10.1007/s00220-019-03310-0
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Parity as Z2-valued spectral flow
In: Bulletin of the London Mathematical Society 51 (2019), p. 836-852
ISSN: 0024-6093
DOI: 10.1112/blms.12282
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Random perturbations of hyperbolic dynamics
In: Electronic Journal of Probability 24 (2019), p. 23 pp.
ISSN: 1083-6489
DOI: 10.1214/19-EJP340
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Erratum: Oscillation theory for the density of states of high dimensional random operators (International Mathematics Research Notices DOI: 10.1093/imrn/rnx246)
In: International Mathematics Research Notices 2019 (2019), p. 4898-
ISSN: 1073-7928
DOI: 10.1093/imrn/rnx317
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Spectral flow argument localizing an odd index pairing
In: Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques 62 (2019), p. 373 - 381
ISSN: 0008-4395
DOI: 10.4153/CMB-2018-013-x
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Chern numbers as half-signature of the spectral localizer
In: Journal of Mathematical Physics 60 (2019), Article No.: 0721011
ISSN: 0022-2488
DOI: 10.1063/1.5094300
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2018
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Application of Semifinite Index Theory to Weak Topological Phases
In: 2016 MATRIX Annals, Cham: Springer, 2018, p. 203-227
DOI: 10.1007/978-3-319-72299-3_10
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Topological edge states for disordered bosonic systems
In: Journal of Mathematical Physics 59 (2018), Article No.: 031901
ISSN: 0022-2488
DOI: 10.1063/1.5002094
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The non-commutative topology of two-dimensional dirty superconductors
In: Journal of Geometry and Physics 124 (2018), p. 100-123
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2017.10.016
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2017
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Replica Symmetry Breaking in Compressive Sensing
Information Theory and Applications Workshop (ITA) (San Diego, CA, 12-02-2017 - 17-02-2017)
DOI: 10.1109/ITA.2017.8023461
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Oscillation theory for the density of states of high dimensional random operators
In: International Mathematics Research Notices 2019 (2017), p. 4579–4602
ISSN: 1073-7928
DOI: 10.1093/imrn/rnx246
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Topological boundary invariants for Floquet systems and quantum walks
In: Mathematical Physics Analysis and Geometry 20 (2017), Article No.: 22
ISSN: 1385-0172
DOI: 10.1007/s11040-017-9253-1
URL: https://link.springer.com/article/10.1007/s11040-017-9253-1
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Finite volume calculation of K-theory invariants
In: New York Journal of Mathematics 22 (2017), p. 1111 - 1140
ISSN: 1076-9803
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Signatures for J-hermitians and J-unitaries on Krein spaces with Real structures
In: Mathematische Nachrichten 290 (2017), p. 1840-1858
ISSN: 0025-584X
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2016
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RSB decoupling property of MAP estimators
2016 IEEE Information Theory Workshop (ITW) (Cambridge, London)
In: 2016 IEEE Information Theory Workshop (ITW) 2016
DOI: 10.1109/ITW.2016.7606860
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Index Pairings in Presence of Symmetries with Applications to Topological Insulators
In: Communications in Mathematical Physics 343 (2016), p. 477-513
ISSN: 0010-3616
DOI: 10.1007/s00220-015-2530-6
URL: http://link.springer.com/article/10.1007/s00220-015-2530-6
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Bulk and Boundary Invariants for Complex Topological Insulators
Springer International Publishing, 2016
(Mathematical Physics Studies)
ISBN: 978-3-319-29350-9
DOI: 10.1007/978-3-319-29351-6
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Generalized Connes-Chern characters in KK-theory with an application to weak invariants of topological insulators
In: Reviews in Mathematical Physics 28 (2016), Article No.: 1650024
ISSN: 0129-055X
DOI: 10.1142/S0129055X16500240
URL: https://www.worldscientific.com/doi/abs/10.1142/S0129055X16500240
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Non-commutative odd Chern numbers and topological phases of disordered chiral systems
In: Journal of Functional Analysis 271 (2016), p. 1150-1176
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2016.06.001
URL: http://de.arxiv.org/abs/1402.5002
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The density of surface states as the total time delay
In: Letters in Mathematical Physics 106 (2016), p. 485-507
ISSN: 0377-9017
DOI: 10.1007/s11005-016-0825-y
URL: http://link.springer.com/article/10.1007/s11005-016-0825-y
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Topological insulators from the perspective of non-commutative geometry and index theory
In: Jahresbericht der deutschen Mathematiker-Vereinigung 118 (2016), p. 247–273
ISSN: 0012-0456
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Krein signatures of transfer operators for half-space topological insulators
In: Journal of Physics A: Mathematical and Theoretical 49 (2016), p. 19pp
ISSN: 1751-8113
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Spectral flows associated to flux tubes
In: Annales Henri Poincaré 17 (2016), p. 1-35
ISSN: 1424-0637
DOI: 10.1007/s00023-014-0394-5
URL: http://link.springer.com/article/10.1007/s00023-014-0394-5
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2015
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Gaussian fluctuations of products of random matrices distributed close to the identity
In: Journal of Difference Equations and Applications 21 (2015), p. 467-485
ISSN: 1023-6198
DOI: 10.1080/10236198.2015.1024672
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Z_2 indices and factorization properties for odd symmetric Fredholm operators
In: Documenta Mathematica 20 (2015), p. 1481-1500
ISSN: 1431-0643
URL: https://www.math.uni-bielefeld.de/documenta/vol-20/vol-20.html
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Localization and Chern numbers for weakly disordered BdG operators
In: Markov Processes and Related Fields 21 (2015), p. 463-482
ISSN: 1024-2953
URL: http://de.arxiv.org/abs/1310.0207
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Spectral flows of dilations of Fredholm operators
In: Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques 58 (2015), p. 51-68
ISSN: 0008-4395
DOI: 10.4153/CMB-2014-055-3
URL: http://de.arxiv.org/abs/1405.0410
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2014
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Quantization of interface currents
In: Journal of Mathematical Physics 55 (2014), Article No.: 121901
ISSN: 0022-2488
DOI: 10.1063/1.4902377
URL: http://de.arxiv.org/abs/1405.0408
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Signature and spectral flow for J-unitary S^1 Fredholm operators
In: Integral Equations and Operator Theory 78 (2014), p. 323-374
ISSN: 0378-620X
DOI: 10.1007/s00020-013-2094-9
URL: http://de.arxiv.org/abs/1210.0184
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2013
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Topological invariants of edge states for periodic two-dimensional models
In: Mathematical Physics Analysis and Geometry 16 (2013), p. 136-170
ISSN: 1385-0172
DOI: 10.1007/s11040-012-9123-9
URL: http://de.arxiv.org/abs/1202.0537
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Scattering zippers and their spectral theory
In: Journal of Spectral Theory 3 (2013), p. 47-82
ISSN: 1664-039X
URL: http://de.arxiv.org/abs/1112.4959
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Lyapunov spectra for all symmetry classes of quasi-one-dimensional disordered systems of non-interacting Fermions
In: Journal of Statistical Physics 152 (2013), p. 275-304
ISSN: 0022-4715
DOI: 10.1007/s10955-013-0764-2
URL: http://de.arxiv.org/abs/1212.0322
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Persistence of spin edge currents in disordered quantum spin Hall systems
In: Communications in Mathematical Physics 324 (2013), p. 589-600
ISSN: 0010-3616
DOI: 10.1007/s00220-013-1814-y
URL: http://de.arxiv.org/abs/1207.2480
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Orbital polarization and magnetization for independent particles in disordered media
In: Communications in Mathematical Physics 319 (2013), p. 649-681
ISSN: 0010-3616
DOI: 10.1007/s00220-012-1639-0
URL: http://de.arxiv.org/abs/1201.4812
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2012
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Scattering theory for lattice operators in dimension d ≥ 3
In: Reviews in Mathematical Physics 24 (2012), p. 1250020-1250071
ISSN: 0129-055X
DOI: 10.1142/S0129055X12500201
URL: http://de.arxiv.org/abs/1109.5459
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Transport in the random Kronig-Penney model
In: Journal of Mathematical Physics 53 (2012), p. 122109
ISSN: 0022-2488
DOI: 10.1063/1.4769219
URL: http://de.arxiv.org/abs/1207.0295
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Sturm intersection theory for periodic Jacobi matrices and linear Hamiltonian systems
In: Linear Algebra and Its Applications 436 (2012), p. 498-515
ISSN: 0024-3795
DOI: 10.1016/j.laa.2011.06.052
URL: http://de.arxiv.org/abs/1105.6219
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2010
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Random phase property and the Lyapunov spectrum for disordered multi-channel systems
In: Journal of Statistical Physics 140 (2010), p. 122-153
ISSN: 0022-4715
DOI: 10.1007/s10955-010-9986-8
URL: http://de.arxiv.org/abs/0910.5808
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Random Dirac operators with time reversal symmetry
In: Communications in Mathematical Physics 295 (2010), p. 209-242
ISSN: 0010-3616
DOI: 10.1007/s00220-009-0956-4
URL: http://de.arxiv.org/abs/0902.1935
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Random Lie Group actions on compact manifolds: a perturbative analysis
In: Annals of Probability 38 (2010), p. 2224-2257
ISSN: 0091-1798
DOI: 10.1214/10-AOP544
URL: http://de.arxiv.org/abs/0802.2909
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Geometry of Weyl theory for Jacobi matrices with matrix entries
In: Journal D Analyse Mathematique 110 (2010), p. 129-165
ISSN: 0021-7670
DOI: 10.1007/s11854-010-0004-5
URL: http://de.arxiv.org/abs/0804.3746
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2009
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Spectral averaging techniques for Jacobi matrices with matrix entries
In: Journal of Physics A: Mathematical and Theoretical A 42 (2009), p. 185204-185217
ISSN: 1751-8113
DOI: 10.1088/1751-8113/42/18/185204
URL: http://de.arxiv.org/abs/0902.1937
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2008
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Positive Lyapunov exponents and localization bounds for strongly mixing potentials
In: Advances in Theoretical and Mathematical Physics 12 (2008), p. 1377-1400
ISSN: 1095-0761
URL: http://de.arxiv.org/abs/math-ph/0702052
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Spectral averaging techniques for Jacobi matrices
In: Journal of Mathematical Physics 49 (2008), p. 023507-023520
ISSN: 0022-2488
DOI: 10.1063/1.2840910
URL: http://de.arxiv.org/abs/0802.2913
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2007
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Upper bounds on wavepacket spreading for random Jacobi matrices
In: Communications in Mathematical Physics 273 (2007), p. 601-618
ISSN: 0010-3616
DOI: 10.1007/s00220-007-0252-0
URL: http://de.arxiv.org/abs/math-ph/0607029
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Scaling diagram for the localization length at a band edge
In: Annales Henri Poincaré 8 (2007), p. 1595-1621
ISSN: 1424-0637
DOI: 10.1007/s00023-007-0347-3
URL: http://de.arxiv.org/abs/math-ph/0702051
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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
DOI: 10.1007/978-3-7643-8135-6_10
URL: http://de.arxiv.org/abs/math-ph/0607026
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Rotation numbers for Jacobi matrices with matrix entries
In: Mathematical Physics Electronic Journal 13 (2007), p. 1-40
ISSN: 1086-6655
URL: http://de.arxiv.org/abs/math-ph/0702050
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Gaussian fluctuations for random matrices with correlated entries
In: International Mathematics Research Notices 15 (2007), p. 1-36
ISSN: 1073-7928
DOI: 10.1093/imrn/rnm047
URL: http://de.arxiv.org/abs/math-ph/0607028
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2006
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Mott law as lower bound for a random walk in a random environment
In: Communications in Mathematical Physics 263 (2006), p. 21-64
ISSN: 0010-3616
DOI: 10.1007/s00220-005-1492-5
URL: http://de.arxiv.org/abs/math-ph/0407058
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Low density expansion for Lyapunov exponents
In: J. Asch, J. Joye (ed.): Mathematical Physics of Quantum Mechanics, Erlangen: Springer Verlag, 2006, p. 343-350 (Lecture Notes in Physics, Vol.690)
ISBN: 3540310266
DOI: 10.1007/b11573432
URL: http://de.arxiv.org/abs/math-ph/0607027
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2005
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Semicircle law and freeness for random matrices with symmetries or correlations
In: Mathematical Research Letters 12 (2005), p. 531-542
ISSN: 1073-2780
URL: http://de.arxiv.org/abs/math-ph/0505003
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2004
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Boundary maps for C**-crossed products with R with an application to the quantum Hall effect
In: Communications in Mathematical Physics 249 (2004), p. 611-637
ISSN: 0010-3616
DOI: 10.1007/s00220-004-1122-7
URL: http://de.arxiv.org/abs/math-ph/0405022
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Quantization of edge currents of continuous magnetic operators
In: Journal of Functional Analysis 209 (2004), p. 388-413
ISSN: 0022-1236
DOI: 10.1016/S0022-1236(03)00174-5
URL: http://de.arxiv.org/abs/math-ph/0405021
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Weak disorder expansion for localization lengths of quasi-1D systems
In: EPL - Europhysics Letters 68 (2004), p. 247-253
ISSN: 0295-5075
DOI: 10.1209/epl/i2004-10190-9
URL: http://de.arxiv.org/abs/cond-mat/0405125
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Perturbative test of single parameter scaling for 1D random media
In: Annales Henri Poincaré 5 (2004), p. 1159-1180
ISSN: 1424-0637
DOI: 10.1007/s00023-004-0195-3
URL: http://de.arxiv.org/abs/cond-mat/0405125
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Lifshitz tails for the 1D Bernoulli-Anderson model
In: Markov Processes and Related Fields 9 (2004), p. 795-802
ISSN: 1024-2953
URL: http://de.arxiv.org/abs/math-ph/0405020
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Perturbation theory for Lyapunov exponents of an Anderson model on a strip
In: Geometric and Functional Analysis 14 (2004), p. 1089-1117
ISSN: 1016-443X
DOI: 10.1007/s00039-004-0484-5
URL: http://de.arxiv.org/abs/math-ph/0405018
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2003
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Delocalization in random polymer models
In: Communications in Mathematical Physics 233 (2003), p. 27-48
ISSN: 0010-3616
DOI: 10.1007/s00220-002-0757-5
URL: http://de.arxiv.org/abs/math-ph/0405024
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2002
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Phase-averaged transport for quasiperiodic Hamiltonians
In: Communications in Mathematical Physics 227 (2002), p. 515-539
ISSN: 0010-3616
DOI: 10.1007/s002200200642
URL: http://de.arxiv.org/abs/math-ph/0405023
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Edge channels and Chern numbers in the integer quantum Hall effect
In: Reviews in Mathematical Physics 14 (2002), p. 87-119
ISSN: 0129-055X
DOI: 10.1142/S0129055X02001107
URL: http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=00-266
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2001
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Homotopy arguments for quantized Hall conductivity
In: Journal of Mathematical Physics 42 (2001), p. 3439-3444
ISSN: 0022-2488
DOI: 10.1063/1.1379070
URL: http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=02-4
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Anomalous transport in aperiodic media
XIIIth International Congress on Mathematical Physics, (Imperial College, London,)
In: Proceedings of the ICMP 2000, Boston: 2001
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2000
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Subdiffusive quantum transport for 3D-Hamiltonians with absolutely continuous spectra
In: Journal of Statistical Physics 99 (2000), p. 587-594
ISSN: 0022-4715
DOI: 10.1023/A:1018613227308
URL: http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=99-344
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Edge versus Bulk Currents in the Integer Quantum Hall Effect
In: Journal of Physics A: Mathematical and Theoretical 33 (2000), p. L27-L32
ISSN: 1751-8113
URL: http://de.arxiv.org/abs/cond-mat/9912186
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Simultaneous quantization of edge and bulk Hall conductivity
In: Journal of Physics A: Mathematical and General 33 (2000)
ISSN: 0305-4470
DOI: 10.1088/0305-4470/33/2/102
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1999
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Anomalous transport in presence of singular continuous spectral measures
In: Annales de l'Institut Henri Poincaré - Physique Théorique 71 (1999), p. 539-559
ISSN: 0246-0211
URL: http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=99-47
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Intermittent lower bound on quantum diffusion
In: Letters in Mathematical Physics 49 (1999), p. 317-324
ISSN: 0377-9017
DOI: 10.1023/A:1007610717491
URL: http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=99-342
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Lower bounds on wave packet propagation by packing dimensions of spectral measures
In: Mathematical Physics Electronic Journal 5 (1999), p. 1-18
ISSN: 1086-6655
URL: http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=98-457
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Upper bounds for quantum dynamics governed by Jacobi matrices with self-similar measures
In: Reviews in Mathematical Physics 11 (1999), p. 1249-1268
ISSN: 0129-055X
DOI: 10.1142/S0129055X99000398
URL: http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=98-382
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Pointwise dimensions on real Julia sets
In: Journal of Physics A: Mathematical and General 32 (1999), p. 2887-2894
ISSN: 0305-4470
DOI: 10.1088/0305-4470/32/15/014
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1998
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A Kinetic Theory for Quantum Transport in Aperiodic Media
In: Journal of Statistical Physics 91 (1998), p. 991-1026
ISSN: 0022-4715
DOI: 10.1023/A:1023084017398
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Anomalous transport: a mathematical framework
In: Reviews in Mathematical Physics 10 (1998), p. 1-46
ISSN: 0129-055X
DOI: 10.1142/S0129055X98000021
URL: http://de.arxiv.org/abs/cond-mat/9706239
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Rigorous spectral analysis of the metal-insulator transition in a limit-periodic potential
In: Journal of Statistical Physics 91 (1998), p. 801-806
ISSN: 0022-4715
DOI: 10.1023/A:1023094030969
URL: http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=97-346
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1997
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Anomalous Drude Model
In: Physical Review Letters 77 (1997), p. 2176
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.78.2176
URL: http://de.arxiv.org/abs/cond-mat/9702220
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1995
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Anomalous transport in quasicrystals
5th International Conference on Quasicrystals (Avignon, 22-05-1995 - 26-05-1995)
In: C. Janot, R. Mosseri (ed.): Proceedings of the 5th International Conference on Quasicrystals, Singapore: 1995
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1994
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The non-commutative geometry of the quantum Hall effect
In: Journal of Mathematical Physics 35 (1994), p. 5373-5451
ISSN: 0022-2488
DOI: 10.1063/1.530758
URL: http://de.arxiv.org/abs/cond-mat/9411052
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