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Prof. Dr. rer. nat. habil. Matthias Kriesell


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Veröffentlichungen am Institut für Mathematik seit 1990

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Knobloch, Jürgen; Rieß, Thorsten; Vielitz, Martin
Nonreversible homoclinic snaking. - In: Dynamical systems : an international journal.. - London : Taylor & Francis, ISSN 1468-9375, Bd. 26 (2011), 3, S. 335-365
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.
Harant, Jochen;
A lower bound on independence in terms of degrees. - In: Discrete applied mathematics. - [S.l.] : Elsevier, Bd. 159 (2011), 10, S. 966-970
Kuzhel, Sergii; Trunk, Carsten
On a class of J-self-adjoint operators with empty resolvent set. - In: Journal of mathematical analysis and applications. - Amsterdam [u.a.] : Elsevier, ISSN 1096-0813, Bd. 379 (2011), 1, S. 272-289
Snoo, Henk; deWinkler, Henrik; Wojtylak, Michal
Zeros of nonpositive type of generalized Nevanlinna functions with one negative square. - In: Journal of mathematical analysis and applications. - Amsterdam [u.a.] : Elsevier, ISSN 1096-0813, Bd. 382 (2011), 1, S. 399-417
Kostochka, Alexandr V.; Stiebitz, Michael; Woodall, Douglas R.
Ohba's conjecture for graphs with independence number five. - In: Discrete mathematics. - Amsterdam [u.a.] : Elsevier, Bd. 311 (2011), 12, S. 996-1005
Geletu, Abebe; Hoffmann, Armin; Klöppel, Michael; Li, Pu
Monotony analysis and sparse-grid integration for nonlinear chance constrained process optimization. - In: Engineering optimization. - London : Taylor & Francis, ISSN 1029-0273, Bd. 43 (2011), 10, S. 1019-1041
Löwenstein, Christian; Pedersen, Anders Sune; Rautenbach, Dieter; Regen, Friedrich
Independence, odd girth, and average degree. - In: Journal of graph theory. - New York, NY [u.a.] : Wiley, ISSN 1097-0118, Bd. 67 (2011), 2, S. 96-111
Babovsky, Hans;
Kinetic lattice group models: structure and numerics. - In: AIP conference proceedings. - Melville, NY : Inst, ISSN 15517616, Bd. 1333 (2011), S. 63-68
Azizov, Tomas Ya.; Trunk, Carsten
PT symmetric, hermitian and P-self-adjoint operators related to potentials in PT quantum mechanics. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2011. - Online-Ressource (PDF-Datei: 28 S., 189,9 KB). . - (Preprint. - M11,15)

In the recent years a generalization H=p^2 + x^2(ix)^\epsilon of the harmonic oscillator using a complex deformation was investigated, where \epsilon is a real parameter. Here, we will consider the most simple case: \epsilon even and x real. We will give a complete characterization of three different classes of operators associated with the differential expression H: The class of all self-adjoint (Hermitian) operators, the class of all PT symmetric operators and the class of all P-self-adjoint operators. Surprisingly, some of the PT symmetric operators associated to this expression have no resolvent set.