Publikationen am Institut für Mathematik

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Hennig, Eckhard; Krauße, Dominik; Schäfer, Eric; Sommer, Ralf; Trunk, Carsten; Winkler, Henrik
Frequency compensation for a class of DAE's arising in electrical circuits. - In: Proceedings in applied mathematics and mechanics, ISSN 1617-7061, Bd. 11 (2011), 1, S. 837-838

Structured perturbations of regular pencils of the form $sE-A$, $E,A\in\dR^{n\times n}, ˜s\in\dC,$ are considered which model the addition of a capacitance $c$ in an electrical circuit in order to improve the frequency response.



http://dx.doi.org/10.1002/pamm.201110407
Wozniak, Sander; Gerlach, Tobias; Schäfer, Günter;
Optimization-based secure multi-hop localization in wireless ad hoc networks. - In: 17th GI/ITG Conference on Communication in Distributed Systems (KiVS 2011), (2011), S. 182-187

http://dx.doi.org/10.4230/OASIcs.KiVS.2011.182
Winkler, Henrik; Behrndt, Jussi; Hassi, Seppo; Snoo, Hendrik S. V. de; Wietsma, Rudi
Linear fractional transformations of Nevanlinna functions associated with a nonnegative operator. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2011. - Online-Ressource (PDF-Datei: 26 S., 436,5 KB). - (Preprint ; M11,18)
http://www.db-thueringen.de/servlets/DocumentServlet?id=19505
Winkler, Henrik;
Reparametrizations of non trace-normed Hamiltonians. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2011. - Online-Ressource (PDF-Datei: 23 S., 344,7 KB). - (Preprint ; M11,17)

We consider a Hamiltonian system of the form y0(x) = JH(x)y(x), with a locally integrable and nonnegative 2_2-matrix valued Hamiltonian H(x). In the literature dealing with the operator theory of such equations, it is often required in addition that the Hamiltonian H is trace{normed, i.e. satis_es trH(x) _ 1. However, in many examples this property does not hold. The general idea is that one can reduce to the trace{normed case by applying a suitable change of scale (reparametrization). In this paper we justify this idea and work out the notion of reparametrization in detail.



http://www.db-thueringen.de/servlets/DocumentServlet?id=19504
Knobloch, Jürgen; Rieß, Thorsten; Vielitz, Martin
Nonreversible homoclinic snaking. - In: Dynamical systems, ISSN 1468-9375, Bd. 26 (2011), 3, S. 335-365

http://dx.doi.org/10.1080/14689367.2011.592488
Hildenbrandt, Regina;
A k-server problem with parallel requests and unit distances. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2011. - Online-Ressource (PDF-Datei: 11 S., 207,5 KB). - (Preprint ; M11,16)

In the paper a k-server problem with parallel requests where several servers can also be located on one point is considered. We show that a HARMONIC_p k-server algorithm is competitive against an adaptive online adversary in case of unit distances.



http://www.db-thueringen.de/servlets/DocumentServlet?id=19013
Harant, Jochen;
A lower bound on independence in terms of degrees. - In: Discrete applied mathematics, ISSN 1872-6771, Bd. 159 (2011), 10, S. 966-970

https://doi.org/10.1016/j.dam.2011.03.003
Kuzhel, Sergii; Trunk, Carsten;
On a class of J-self-adjoint operators with empty resolvent set. - In: Journal of mathematical analysis and applications, ISSN 1096-0813, Bd. 379 (2011), 1, S. 272-289

https://doi.org/10.1016/j.jmaa.2010.12.048
Snoo, Hendrik S. V. de; Winkler, Henrik; Winkler, Henrik *1965-*;
Zeros of nonpositive type of generalized Nevanlinna functions with one negative square. - In: Journal of mathematical analysis and applications, ISSN 1096-0813, Bd. 382 (2011), 1, S. 399-417

https://doi.org/10.1016/j.jmaa.2011.04.060
Kostochka, Alexandr V.; Stiebitz, Michael; Woodall, Douglas R.
Ohba's conjecture for graphs with independence number five. - In: Discrete mathematics, Bd. 311 (2011), 12, S. 996-1005

http://dx.doi.org/10.1016/j.disc.2011.02.026