Publications

Preprints:

• R. Band, G. Cox, S. Egger. Defining the spectral position of a Neumann domain, 2020, https://arxiv.org/abs/2009.14564

Publications:

• S. Egger. An asymptotic expansion of the trace of the heat kernel of a singular two-particle
  contact interaction in one-dimension, incollection, Discrete and Continuous Models
  in the Theory of Networks, Operator Theory: Advances and Applications, Birkhäuser, https://www.springer.com/gp/book/9783030440961, 2020. https://arxiv.org/abs/1806.03637
• L. Alon, R. Band, M. Bersudsky, S. Egger. Neumann domains on graphs and manifolds,
  incollection, Analysis and geometry on graphs and manifolds,
  London Math. Soc. Lecture Note Ser., Cambridge Univ. Press,https://www.cambridge.org/core/books/analysis-and-geometry-on-graphs-and-manifolds/7B0A47C5696C50548F296EF3726AAAE0, 2020. https://arxiv.org/abs/1805.07612
• R. Band, S. Egger, A. Taylor. The Spectral Position of Neumann domains on the torus. J. Geom. Anal., https://doi.org/10.1007/s12220-020-00444-9, 2020. https://arxiv.org/abs/1707.03488
• S. Egger, J. Kerner, K. Pankrashkin. Attractive conical surfaces create infinitely many bound states. Lett. Math. Phys., 2019, https://link.springer.com/article/10.1007\%2Fs11005-019-01246-z, https://arxiv.org/abs/1908.02554
• S. Egger, J. Kerner, K. Pankrashkin. Bound states of a pair of particles on the half-line with a general interaction potential. J. Spectr. Theory, 2019, https://www.ems-ph.org/journals/forthcoming.php?jrn=jst, https://arxiv.org/abs/1812.06500
• S. Egger, J. Kerner. Scattering properties of two singularly interacting particles on the
  half-line. Rev. Math. Phys. 29 : 1750032, 2017. https://www.worldscientific.com/doi/abs/10.1142/S0129055X17500325, https://arxiv.org/abs/1702.00851
• J. Bolte, S. Egger, S. Keppeler. A Gutzwiller trace formula for large hermitian matrices.
  Rev. Math. Phys., 29 : 1750027, 2017. https://www.worldscientific.com/doi/abs/10.1142/S0129055X17500271, https://arxiv.org/abs/1512.05984
• J. Bolte, S. Egger, S. Keppeler. The Berry-Keating operator on a lattice. J. Phys. A:
  Math. Theor., 50 : 105201, 2017. http://iopscience.iop.org/article/10.1088/1751-8121/aa5844, https://arxiv.org/abs/1610.06472
• J. Bolte, S. Egger, R. Rueckriemen. Heat-kernel and resolvent asymptotics for Schrödinger operators on metric graphs. Appl. Math. Res. Express: 1: 129-165, 2015. https://academic.oup.com/amrx/article/2015/1/129/223183, https://arxiv.org/abs/1406.1045
• J. Bolte, S. Egger, F. Steiner. Zero modes for quantum graph Laplacians and an index
  theorem. Ann. H. Poincaré, 16 : 1155-1189, 2015. https://link.springer.com/article/10.1007/s00023-014-0347-z, https://arxiv.org/abs/1311.5485
• S. Egger né Endres, F. Steiner. A new proof of the Voronoi summation formula. J.
  Phys. A: Math. Theor., 44 : 225302, 2011. http://iopscience.iop.org/article/10.1088/1751-8113/44/22/225302, https://arxiv.org/abs/1001.3556
• S. Egger né Endres, F. Steiner. An exact trace formula and zeta functions for an infinite quantum graph with a non-standard Weyl asymptotics. J. Phys. A: Math. Theor.,
  44 : 185202, 2011.http://iopscience.iop.org/article/10.1088/1751-8113/44/18/185202,  https://arxiv.org/abs/1104.1364
• S. Endres, F. Steiner. The Berry-Keating operator on L^2 (R_>; dx) and on compact
  quantum graphs with general self-adjoint realizations. J. Phys. A: Math. Theor., 43 :
  095204, 2010. http://iopscience.iop.org/article/10.1088/1751-8113/43/9/095204,  https://arxiv.org/abs/0912.3183
• J. Bolte, S. Endres. The trace formula for quantum graphs with general self adjoint
  boundary conditions. Ann. Henri Poincaré, 10: 189-223, 2009. https://link.springer.com/article/10.1007/s00023-009-0399-7, https://arxiv.org/abs/0805.3111
• J. Bolte, S. Endres. Trace formulae for quantum graphs. Analysis on graphs and its applications, Proc. Sympos. Pure Math., 77, 247-259, 2008. https://bookstore.ams.org/pspum-77

Published Ph.D. thesis:

• S. Egger née Endres. The solution of the “constant term problem” and the zeta-regularized
  determinant for quantum graphs. Dissertation, Open Access Repositorium der Universität
  Ulm, 2012. https://oparu.uni-ulm.de/xmlui/handle/123456789/1978