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Veröffentlichungen am Institut für Mathematik seit 1990

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Mnich, Matthias; Rutter, Ignaz; Schmidt, Jens M.;
Linear-time recognition of map graphs with outerplanar witness. - In: 15th Scandinavian Symposium and Workshops on Algorithm Theory : SWAT 2016, June 22-24, 2016, Reykjavik, Iceland. - Saarbrücken/Wadern, Germany : Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH, Dagstuhl Publishing, ISBN 978-3-95977-011-8, (2016), Seite 5:1-5:14

http://dx.doi.org/10.4230/LIPIcs.SWAT.2016.5
Jacob, Birgit; Langer, Matthias; Trunk, Carsten;
Variational principles for self-adjoint operator functions arising from second-order systems. - In: Operators and matrices : OaM. - Zagreb : Element, Bd. 10 (2016), 3, S. 501-531

http://dx.doi.org/10.7153/oam-10-29
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten;
Bounds on the non-real spectrum of a singular indefinite Sturm-Liouville operator on R. - In: Proceedings in applied mathematics and mechanics : PAMM. - Weinheim [u.a.] : Wiley-VCH, ISSN 1617-7061, Bd. 16 (2016), 1, S. 881-882

http://dx.doi.org/10.1002/pamm.201610429
Gernandt, Hannes; Trunk, Carsten;
On the parametric eigenvalue behavior of matrix pencils under rank one perturbations. - In: Proceedings in applied mathematics and mechanics : PAMM. - Weinheim [u.a.] : Wiley-VCH, ISSN 1617-7061, Bd. 16 (2016), 1, S. 873-874

http://dx.doi.org/10.1002/pamm.201610425
Büttner, Florian; Trunk, Carsten;
Limit-point/limit-circle classification of second-order differential operators arising in PT quantum mechanics. - In: Proceedings in applied mathematics and mechanics : PAMM. - Weinheim [u.a.] : Wiley-VCH, ISSN 1617-7061, Bd. 16 (2016), 1, S. 871-872

http://dx.doi.org/10.1002/pamm.201610424
Škalikov, Andrej Andreevič; Trunk, Carsten;
Ob ustojčivosti zamknutosti i samosoprjažennosti dlja 2 x 2 operator-matric - Ilmenau : Technische Universität, Institut für Mathematik, 2016 - 1 Online-Ressource (6 Seiten). . - (Preprint. - M16,07)

Consider an operator which is defined in Banach or Hilbert space by a 2x2 matrix with entries A, B, C, D which where linear operators and which are assumed to be unbounded. In the case when the operators C and B are relatively bounded with respect to the operators A and D, respectively, new conditions of the closeness or closability are obtained for the operator L. For the operator L acting in a Hilbert space the analogs of Rellich-Kato theorems on the stability of self-adjointness are obtained.



https://www.db-thueringen.de/receive/dbt_mods_00030580
Bang-Jensen, Jørgen; Kriesell, Matthias; Maddaloni, Alessandro; Simonsen, Sven;
Arc-disjoint directed and undirected cycles in digraphs. - In: Journal of graph theory - New York, NY [u.a.] : Wiley, ISSN 1097-0118, Bd. 83 (2016), 4, S. 406-420

http://dx.doi.org/10.1002/jgt.22006
Meierott, Stefan; Hotz, Thomas; Néel, Nicolas; Kröger, Jörg;
Asymmetry parameter of peaked Fano line shapes. - In: Review of scientific instruments : a monthly journal devoted to scientific instruments, apparatus, and techniques. - [S.l.] : American Institute of Physics, ISSN 1089-7623, Bd. 87 (2016), 10, S. 103901, insges. 7 S.

The spectroscopic line shape of electronic and vibrational excitations is ubiquitously described by a Fano profile. In the case of nearly symmetric and peaked Fano line shapes, the fit of the conventional Fano function to experimental data leads to difficulties in unambiguously extracting the asymmetry parameter, which may vary over orders of magnitude without degrading the quality of the fit. Moreover, the extracted asymmetry parameter depends on initially guessed values. Using the spectroscopic signature of the single-Co Kondo effect on Au(110) the ambiguity of the extracted asymmetry parameter is traced to the highly symmetric resonance profile combined with the inevitable scattering of experimental data. An improved parameterization of the conventional Fano function is suggested that enables the nonlinear optimization in a reduced parameter space. In addition, the presence of a global minimum in the sum of squared residuals and thus the independence of start parameters may conveniently be identified in a two-dimensional plot. An angular representation of the asymmetry parameter is suggested in order to reliably determine uncertainty margins via linear error propagation.



http://dx.doi.org/10.1063/1.4963678
Hotz, Thomas; Kelma, Florian; Wieditz, Johannes;
Non-asymptotic confidence sets for circular means. - In: Entropy : an international and interdisciplinary journal of entropy and information studies. - Basel : MDPI, ISSN 1099-4300, Bd. 18 (2016), 10, 375, insges. 13 S.

http://dx.doi.org/10.3390/e18100375
Adamaszek, Anna; Adamaszek, Michal; Mnich, Matthias; Schmidt, Jens M.;
Lower bounds for locally highly connected graphs. - In: Graphs and combinatorics - Tokyo : Springer-Verl. Tokyo, ISSN 1435-5914, Bd. 32 (2016), 5, S. 1641-1650

http://dx.doi.org/10.1007/s00373-016-1686-y