Publications in 2016 of the mathematical institutes at TU Graz

  1. M. Schlögl, M. Holler, A. Schwarzl, K. Bredies, and R. Stollberger. Infimal convolution of total generalized variation functionals for dynamic MRI. Magnetic resonance in medicine (2016). [doi].
  2. C. Elsholtz. An Alternative Proof on Four-Dimensional Zero-Sums. In Papers in Number Theory, RMS-Lecture Notes Series, volume 23, page 29–36. Ramanujan Mathematical Society, 2016.
  3. C. Aistleitner and G. Larcher. Metric results on the discrepancy of sequences (a_n α)_n⩾1 modulo one for integer sequences (a_n)_n⩾1 of polynomial growth. Mathematika 62/2 (2016), 478.
  4. G. Barat and P. Grabner. Spatial equidistribution of binomial coefficients modulo prime powers. Uniform distribution theory 11/2 (2016), 151-161.
  5. C. Aistleitner. Lower bounds for the maximum of the Riemann zeta function along vertical lines. Mathematische Annalen 365/1 (2016), 473-496.
  6. P. Berglez. On the representation of bicomplex pseudoanalytic functions by integro-differential operators. In International Conference of Numerical Analysis and Applied Mathematics 2015, AIP Conf. Proc., pages 50006-1 50006-4. 2016.
  7. S. Frisch. Relative polynomial closure and monadically Krull monoids of integer-valued polynomials. In Multiplicative Ideal Theory and Factorization Theory – Commutative and Non-Commutative Perspectives. Springer, 2016.
  8. Y. Kallus and W. Kusner. The local optimality of the double lattice packing. Discrete & computational geometry (2016), Source files include Mathematica notebooks implementing calculations.
  9. W. Kusner. On the densest packing of polycylinders in any dimension. Discrete & computational geometry 55/3 (2016), 638-641. [doi].
  10. C. Frei and E. Sofos. Counting rational points on smooth cubic surfaces. Mathematical research letters 23/1 (2016), 127-143. [doi].
  11. C. Elsholtz and R. Dietmann. Sums of two squares and a power. In From Arithmetic to Zeta-Functions, Number Theory in Memory of Wolfgang Schwarz. Springer Verlag, 1 edition, 2016.
  12. P. Grabner and G. Barat. Combinatorial and probabilistic properties of systems of numeration. Ergodic theory and dynamical systems 36 (2016), 422-457.
  13. C. Frei and M. Widmer. Schanuel's theorem for heights defined via extension fields. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze 15/Spec. Iss. (2016), 355-398. [doi].
  14. R. Rissner. Null ideals of matrices over residue class rings of principal ideal domains. Linear algebra and its applications 494 (2016), 44-69.
  15. J. Behrndt, P. Schmitz, and C. Trunk. Bounds on the non-real spectrum of a singular indefinite Sturm-Liouville operator on R. In Proceedings in Applied Mathematics and Mechanics, volume 16. 2016.
  16. J. Behrndt, M. Langer, and V. Lotoreichik. Boundary triples for Schrödinger operators with singular interactions on hypersurfaces. Nanosystems = Nanosistemy: Physics, Chemistry, Mathematics 7 (2016).
  17. J. Behrndt, R. Möws, and C. Trunk. Eigenvalue estimates for operators with finitely many negative squares. Opuscula mathematica 36 (2016).
  18. J. Behrndt, L. Leben, F. Martinez-Peria, R. Möws, and C. Trunk. Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces. Journal of mathematical analysis and applications 439 (2016).
  19. J. Behrndt, F. Gesztesy, and T. Micheler. The Krein-von Neumann realization of perturbed Laplacians on bounded Lipschitz domains. In Operator Theory Advances and Applications, volume 255. 2016.
  20. J. Behrndt, F. Gesztesy, H. Holden, and R. Nichols. Dirichlet-to-Neumann maps, abstract Weyl-Titchmarsh M-functions, and a generalized index of unbounded meromorphic operator-valued functions. Journal of differential equations 261 (2016).
  21. O. Steinbach, B. Wohlmuth, and L. Wunderlich. Trace and flux a priori error estimates in finite element approximations of Signorini-type problems. IMA journal of numerical analysis 36/3 (2016), 1072.
  22. C. Koch and J. Lengler. Bootstrap Percolation on Geometric Inhomogeneous Random Graphs. In 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016). 2016.
  23. A. Rosenmann. A multiple-valued logic approach to the design and verification of hardware circuits. Journal of applied logic 15 (2016), 69-93. [doi].
  24. A. Bendikov, L. Saloff-Coste, M. Salvatori, and W. Woess. Brownian motion on treebolic space: positive harmonic functions. Annales de l’Institut Fourier 66/4 (2016), 1691-1731. [doi].
  25. D. D'Angeli and A. Donno. Metric compactification of infinite Sierpiński carpet graphs. Discrete mathematics 339/11 (2016), 2693–2705. [doi].
  26. L. Gilch. Asymptotic Properties of Random Walks via Generating Functions. PhD thesis, 2016.
  27. L. Gilch and S. Müller. Ends of branching random walks on planar hyperbolic Cayley graphs. In T. Ceccherini-Silberstein, M. Salvatori, and E. Sava-Huss, editors, Groups, Graphs, and Random Walks, London Mathematical Society Lecture Note Series. Cambridge University Press, 2016.
  28. L. Gilch. Asymptotic Entropy of Random Walks on Regular Languages over a Finite Alphabet. Electronic Journal of Probability 21/8 (2016), 1-42.
  29. D. D'Angeli, I. Bondarenko, and E. Rodaro. The lamplighter group ℤ3≀ℤ generated by a bireversible automaton. Communications in algebra 44/12 (2016), 5257-5268.
  30. D. D'Angeli, E. Sava-Huss, and A. Donno. Connectedness and isomorphism properties of the zig-zag product of graphs. Journal of graph theory 83/2 (2016), 120. [doi].
  31. A. Custic and B. Klinz. The constant objective value property for multidimensional assignment problems. Discrete optimization (2016), 23-35. [doi].
  32. T. Boiko, J. Cuno, W. Imrich, F. Lehner, and C. Woestijne. The Cartesian product of graphs with loops. Ars mathematica contemporanea 11/1 (2016), 1-9.
  33. I. Berkes, L. Horváth, and G. Rice. On the asymptotic normality of kernel estimators of the long run covariance of functional time series. Journal of multivariate analysis 144 (2016), 150-175. [doi].
  34. I. Berkes and R. Tichy. The Kadec-Pelczynski theorem in Lp. Proceedings of the American Mathematical Society 144 (2016), 2053-2066. [doi].
  35. R. Brandner and E. Stadlober. Samples of iid Lognormals: approximations for characteristics of minima. Communications in statistics / Simulation and computation 45 (2016), 1-15. [doi].
  36. D. Kreso and A. Dubickas. Diophantine equations with truncated binomial polynomials. Indagationes mathematicae 27 (2016), 392-405.
  37. A. Bazarova, I. Berkes, and L. Horváth. On the extremal theory of continued fractions. Journal of theoretical probability 29/1 (2016), 248-266. [doi].
  38. P. Pranav, H. Edelsbrunner, R. van de Weygaert, G. Vegter, M. Kerber, B. Jones, and M. Wintraecken. The topology of the cosmic web in terms of persistent Betti numbers. Monthly Notices of the Royal Astronomical Society 465/4 (2016), 4281-4310.
  39. X. Sun, C. Jiang, J. Wallner, and H. Pottmann. Vertex normals and face curvatures of triangle meshes. In A. Bobenko, editor, Advances in Discrete Differential Geometry, pages 267-286. Springer Verlag, 2016, ISBN 978-3-662-50446-8. [doi].
  40. C. Tang, M. Kilian, P. Bo, J. Wallner, and H. Pottmann. Analysis and design of curved support structures. In Advances in Architectural Geometry 2016, pages 8-23. Hochschulverlag Zürich, 2016.
  41. C. Jiang, F. Günther, J. Wallner, and H. Pottmann. Measuring and controlling fairness of triangulations. In Advances in Architectural Geometry 2016, pages 24-39. Hochschulverlag Zürich, 2016.
  42. M. Hamann, F. Lehner, and J. Pott. Extending cycles locally to Hamilton cycles. The electronic journal of combinatorics 23/1 (2016), 1.49-17.
  43. H. Pottmann and J. Wallner. Geometry and freeform architecture. In W. König, editor, Mathematics and Society, pages 131-151. European Mathematical Society Publishing House, 2016, ISBN 978-3-03719-164-4. [doi].
  44. A. Choudhary, M. Kerber, and S. Raghvendra. Polynomial-Sized Topological Approximations Using The Permutahedron. In S. Fekete and A. Lubiw, editors, 32nd International Symposium on Computational Geometry (SoCG 2016), Leiniz International Proceedings in Informatics, pages 31:1-31:16. Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH, 2016. [doi].
  45. M. Kerber, D. Morozov, and A. Nigmetov. Geometry Helps to Compare Persistence Diagrams. In 2016 Proceedings of the Eighteenth Workshop on Algorithm Engineering and Experiments (ALENEX), pages 103-112. ., 2016. [doi].
  46. M. Kerber, D. Sheehy, and P. Skraba. Persistent Homology and Nested Dissection. In Proceedings of the Twenty-Seventh Annual ACM-SIAM Symposium on Discrete Algorithms, pages 1234-1245. ., 2016. [doi].
  47. C. Tang, P. Bo, J. Wallner, and H. Pottmann. Interactive design of developable surfaces. ACM transactions on graphics 35/2 (2016), 12,1-12.
  48. W. Carl. A Laplace Operator on Semi-Discrete Surfaces. Foundations of computational mathematics 16 (2016), 1115-1150. [doi].