Faculty of Mathematics and Computer Science Applied Stochastics


  • H. Leschke, A.V. Sobolev and W. Spitzer: Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature, J. Phys. A: Math. Theor. 49, 30LT04 (2016). DOI:10.1088/1751-8113/49/30/30LT04
  • H. Leschke, A.V. Sobolev and W. Spitzer: Trace formulas for Wiener-Hopf operators with applications to entropies of free fermionic equilibrium states, (2016) Preprint: arXiv:1605.04429, to be published in J. Funct. Anal. 2017
  • B. Nachtergaele, W. Spitzer, and S. Starr: Asymptotic Ferromagnetic Ordering of Energy Levels for the Heisenberg Model on Large Boxes, Preprint: arXiv:1509.00907
  • H. K. Knörr, P. Otte, and W. Spitzer: Anderson's orthogonality catastrophe in one dimension induced by a magnetic field, J. Phys. A: Math. Theor. 48, 325202 (2015). DOI:10.1088/1751-8113/48/32/325202
  • R. Froese, D. Lee, C. Sadel, W. Spitzer, and G. Stolz: Localization for transversally periodic random potentials on binary trees, to apppear in J. Spectr. Theory (2015). Preprint: arXiv:1408.3961
  • H. Leschke, A.V. Sobolev, and W. Spitzer: Scaling of Rényi Entanglement Entropies of the Free Fermi-Gas Ground State: A Rigorous Proof, Phys. Rev. Lett. 112, 160403 (2014). DOI: 10.1103/PhysRevLett.112.160403, Preprint: arXiv:1312.6828
  • J.-O. Janda, A. Popal, J. Bauer, M. Busch, M. Klocke, W. Spitzer, J. Keller, and R. Merkl: H2rs: Deducing evolutionary and functionally important residue positions by means of an entropy and similarity based analysis of multiple sequence alignments, BMC Bioinformatics 15:118 (2014). DOI: 10.1186/1471-2105-15-118
  • H. Küttler, P. Otte, and W. Spitzer: Anderson's Orthogonality Catastrophe for One-dimensional Systems, Ann. H. Poincaré, DOI: 10.1007/s00023-013-0287-z (2013). DOI: 10.1007/s00023-013-0287-z
  • W. Spitzer, S. Starr, and L. Tran: Counterexamples to Ferromagnetic Ordering of Energy Levels, J. Math. Phys. 53, 043302 (2012). Preprint: arxiv:1107.1266
  • R. Froese, D. Hasler, and W. Spitzer: A geometric approach to ac spectrum for discrete Schrödinger operators , Prog. Prob. 64, Birkhäuser Publishing Ltd. 201-226 (2011). Preprint: arxiv:1004.4843
  • R. Froese, D. Hasler, and W. Spitzer: On the AC spectrum of one-dimensional random Schrödinger operators with matrix-valued potentials, Math. Phys., An. Geom. 13 219-233 (2010). Preprint: arxiv:0912.0294,
  • R. Helling and W. Spitzer: Free Fermions Violate the Area Law for Entanglement Entropy, Fortschritte der Physik 58, 7-9, 896-899 (2010), DOI: 10.1002/prop.201000029
  • R. Helling, H. Leschke. and W. Spitzer: A special case of a conjecture by Widom with implications to fermionic entanglement entropy, Intern. Math. Res. Notices 2011, 7, 1451-82 (2011), DOI: https://doi.org/10.1093/imrn/rnq085, Preprint: arxiv:0906.4946
  • R. Froese, D. Hasler, and W. Spitzer: Absolutely continuous spectrum for random potentials on a tree with strong transverse correlations and large weighted loops, Rev. Math. Phys. 21, 1--25 (2009). Preprint: arxiv:0809.4197
  • J.-P. Solovej, T.O. Sorensen, and W. Spitzer: The relativistic Scott correction for atoms and molecules, Commun. Pure and Appl. Math. 63, no. 1, 39--118 (2009). Preprint: arxiv:0808.2163
  • T. Michoel, B. Nachtergaele, and W. Spitzer: Transport of interface states in the Heisenberg chain, J. Phys. A: Math. Theoret. 41, 492001, 13pp. (2008). Preprint: arxiv.org/abs/cond-mat/0702059
  • W. Spitzer: Absolutely Continuous Spectrum on some Tree Graphs, Oberwolfach report No. 12/2007 on "Transport in multi-dimensional random-Schrödinger operators" (2007).
  • P. Deift, M.B. Ruskai, and W. Spitzer: Improved Gap Estimates for Simulating Quantum Circuits by Adiabatic Evolution, Quantum Information Processing, 6, no. 2 (2007). Preprint: arxiv.org/abs/quant-ph/0605156
  • B. Nachtergaele, W. Spitzer, and S. Starr: Droplet Excitations for the Spin-1/2 XXZ Chain with Kink Boundary Conditions, Ann. H. Poincaré, 8, 165-201 (2007). Preprint: arxiv.org/abs/math-ph/0508049/
  • R. Froese, D. Hasler, and W. Spitzer: Absolutely continuous spectrum for the Anderson model on a tree: geometric proof of Klein's theorem, Commun. Math. Phys., 269, 239-257, (2007).http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=05-388
  • R. Froese, D. Hasler, and W. Spitzer: Transfer matrices, hyperbolic geometry and absolutely continuous spectrum for some discrete Schrödinger operators on graphs, Journ. Funct. Anal., 230, 184-221 (2006). http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=04-244
  • B. Nachtergaele, W. Spitzer, and S. Starr: Ferromagnetic ordering of energy levels, J. Stat. Phys.116, 719-738 (2004). Preprint: arxiv.org/abs/math-ph/0308006
  • J.-P. Solovej and W. Spitzer: A new coherent states approach to semiclassics which gives Scott's correction, Commun. Math. Phys. 241, 383-420 (2003). Preprint: arxiv.org/abs/math-ph/0208044
  • W. Spitzer and S. Starr: Improved bounds on the spectral gap above frustration free ground states of quantum spin chains, Lett. Math. Phys. 63, 165-177 (2003). Preprint: arxiv.org/abs/math-ph/0212029
  • B. Nachtergaele, W. Spitzer, and S. Starr: On the dynamics of interfaces in the ferromagnetic Heisenberg XXZ chain under weak perturbations, Contemp. Math. 327, 251-270 (2003).Preprint: arxiv.org/abs/math-ph/0210017
  • J.-P. Solovej and W. Spitzer: New coherent states and a new proof of the Scott correction, Contemp. Math. 327, 305-319 (2003). Preprint: arxiv.org/math-ph/abs/0210009
  • P. Contucci, B. Nachtergaele, and W. Spitzer: The ferromagnetic Heisenberg XXZ chain in a pinning field, Phys. Rev. B 66, 0644291-13 (2002). Preprint: arxiv.org/abs/math-ph/0204011
  • M. Moser, A. Prets, and W. Spitzer: Time evolution of spin waves, Phys. Rev. Lett. 83, 3542-3545 (1999). Preprint: arxiv.org/abs/cond-mat/9909146
  • C. Maes and W. Spitzer: Hydrodynamics of quasi-free quantum systems, J. Stat. Phys. 94, no. 5-6, 893 (1999). Preprint: arxiv.org/abs/cond-mat/9801190
FernUni-Logo FernUniversität in Hagen, Faculty of Mathematics and Computer Science, Applied Stochastics, 58084 Hagen