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Publications & Preprints

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Project C6: Single particle operators with disorder of short range structure

2015

The Altshuler-Shklovskii Formulas for Random Band Matrices II: the General Case
L. Erdös, A. Knowles
arXiv:1309.5107
Annales H. Poincaré 16 (2015) 709-799
Uniqueness of gradient Gibbs measures with disorder
C. Cotar, C. Külske
arXiv:1405.1449
Probab. Theory and Rel. Field 162 (2015) 587-635

2014

The Altshuler-Shklovskii Formulas for Random Band Matrices I: the Unimodular Case
L. Erdös, A. Knowles
arXiv:1309.5106
Rates of Convergence in the Blume-Emery-Griffiths Model
P. Eichelsbacher, B. Martschink

J. Statist. Phys. 154 (2014) 1483-1507
On rates of convergence for the overlap in the Hopfield model
P. Eichelsbacher, B. Martschink
arXiv:1303.5252
Berry-Esseen bounds and multivariate limit theorems for functionals of Rademacher sequences
K. Krokowski, A. Reichenbachs, C. Thaele
arXiv:1404.0962
Refined Asymptotics for Sums of Random Exponentials and for Nonlinear Functionals of Rademacher Random Variables
A. Reichenbachs

PhD thesis, Ruhr-Universität Bochum (11/2014)

2013

Delocalization and Diffusion Profile for Random Band Matrices
L. Erdös, A. Knowles, H.-T. Yau, J. Yin
arXiv:1205.5669
Comm. Math. Phys. 323 (2013) 367-416
Averaging Fluctuations in Resolvents of Random Band Matrices
L. Erdös, A. Knowles, H.-T. Yau
arXiv:1205.5664
Ann. H. Poincaré 14 no.8 (2013) 1837-1926
Description of the translation-invariant splitting Gibbs measures for the Potts model on a Cayley tree
C. Külske, U. A. Rozikov, R. M. Khakimov
arXiv:1310.6220
J. Statist. Phys. 156 (2013) 189-200
Phase transitions for rates of convergence in the Blume-Emery-Griffiths model
P. Eichelsbacher, B. Martschink
arXiv:1304.2791
On the accuracy of the normal approximation for the free energy in the Random Energy Model
R. Meiners, A. Reichenbachs
arXiv:1212.5797
Electron. Commun. Probab. 18 (2013), no. 12, 1-11

2012

Existence of random gradient states
C. Cotar, C. Külske
arXiv:1012.4375
Annals of Applied Probability 2012, Vol. 22, No. 4, 1650-1692
Stein's method and applications to statistical mechanics
B. Martschink

PhD thesis, Ruhr-Universität Bochum (06/2012)

2011

Quantum Diffusion and Eigenfunction Delocalization in a Random Band Matrix Model
L. Erdös, A. Knowles
arXiv:1002.1695
Commun. Math. Phys. 303 no. 2 (2011) 509-554
Quantum Diffusion and Delocalization for Band Matrices with General Distribution
L. Erdös, A. Knowles
arXiv:1005.1838
Annales Inst. H. Poincaré 12 (7) (2011) 1227-1319

2010

Existence of ground states of hydrogen-like atoms in relativistic QED II: The no-pair operator
M. Könenberg, O. Matte, E. Stockmeyer
abstract cond-mat/1005.2109
Multiparticle equations for interacting Dirac Fermions in graphene nanostructures
R. Egger, A. De Martino, H. Siedentop, E. Stockmeyer
abstract cond-mat/1001.3761
J. Phys. A: Math. Theor. 43 (2010) 215202.
On higher order estimates in quantum electrodynamics
O. Matte
abstract cond-mat/1001.0144
Spectral theory of no-pair Hamiltonians
O. Matte, E. Stockmeyer
abstract cond-mat/0803.1652
Exponential localization of hydrogen-like atoms in relativistic quantum electrodynamics
O. Matte, E. Stockmeyer
abstract cond-mat/0904.3083

2009

Existence of ground states of hydrogen-like atoms in relativistic QED I: The semi-relativistic Pauli-Fierz operator
M. Könenberg, O. Matte, E. Stockmeyer
abstract cond-mat/0912.4223
On the non-relativistic limit of a model in quantum electrodynamics
Edgardo Stockmeyer
abstract cond-mat/0905.1006
The Energy of Heavy Atoms According to Brown and Ravenhall: The Scott Correction
R. L. Frank, H. Siedentop, S. Warzel
abstract cond-mat/0805.4441
Two dimensional Berezin-Li-Yau inequalities with a correction term
H. Kovarik, S. Vugalter, T. Weidl
abstract cond-mat/0802.2792
10.1007/s00220-008-0692-1
On the eigenfunctions of no-pair operators in classical magnetic fields
O. Matte, E. Stockmeyer
abstract cond-mat/0810.4897
Das asymptotische Verhalten der Grundzustandsenergie des Muellerfunktionals fuer schwere Atome
H. Siedentop
abstract cond-mat/0811.2453
J. Phys. A: Math. Theor. 42, 085201 (2009)

2008

On the ground state energy of the translation invariant Pauli-Fierz model
J.-M. Barbaroux, T. Chen, V. Vougalter, S. Vugalter
abstract cond-mat/0702098
Proc. Amer. Math. Soc., 136 (3), 1057-1064 (2008).
Stability of atoms and molecules in an ultrarelativistic Thomas-Fermi-Weizsäcker model
R. D.. Benguria, M. Loss, H. Siedentop
abstract cond-mat/0710.4338
J. Math. Phys. 49, 012302 (2008)
Hartree-Fock theory for pseudorelativistic atoms
A. Dall'Acqua, T. Østergaard Sørensen, E. Stockmeyer
abstract cond-mat/0707.4612
The Ground State Energy of Heavy Atoms: Relativistic Lowering of the Leading Energy Correction
R. L. Frank, H. Siedentop, S. Warzel
abstract cond-mat/0702056
Communications in Mathematical Physics 278, 549-566 (2008)
An Invitation to Random Schroedinger operators
W. Kirsch
abstract cond-mat/0709.3707
A Wegner estimate for multi-particle random Hamiltonians
W. Kirsch
abstract cond-mat/0704.2664
Estimates on trapped modes in deformed quantum layers
H. Kovarik, S. Vugalter
abstract cond-mat/0710.1252
An Invitation to Random Schroedinger operators
W. Kirsch
abstract cond-mat/0709.3707
Estimates on trapped modes in deformed quantum layers
H. Kovarik, S. Vugalter
abstract cond-mat/0710.1252
On the convergence of eigenfunctions to threshold energy states
T. Østergaard Sørensen, E. Stockmeyer
abstract cond-mat/0604015

2007

A Wegner estimate for multi-particle random Hamiltonians
W. Kirsch
abstract cond-mat/0704.2664
An Invitation to Random Schroedinger operators
W. Kirsch
abstract cond-mat/0709.3707

2006

2005

2004

Moderate deviations for the overlap parameter in the Hopfield model
P. Eichelsbacher, M. Loewe
Probab. Theory Related Fields Vol.130, 441-472 (2004). (PDF)
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