Reminder

In all DK related publications, it is required to acknowledge support of the FWF. The following naming convention must be used in all cases:

    Austrian Science Fund (FWF): W1230

For example, you may include a sentence such as "The author acknowledges the support of the Austrian Science Fund (FWF): W1230." Please do not forget!

Project 4:
Point distributions and fractal analysis

2014
[16]Peter J. Grabner, Point sets of minimal energy, Chapter in Applied algebra and number theory (Gerhard Larcher, others, eds.), Cambridge Univ. Press, Cambridge, 109-125, (2014). [bibtex] [pdf]
[15]Peter J. Grabner, Arnold Knopfmacher and Stephan G. Wagner, A general asymptotic scheme for the analysis of partition statistics, Combin. Probab. Comput., 23(6), 1057-1086, (2014). [bibtex] [doi]
2015
[14]Johann S. Brauchart and Peter J. Grabner, Distributing many points on spheres: minimal energy and designs, J. Complexity, 31(3), 293–326, (2015). [bibtex] [doi]
[13]Peter J. Grabner, Poincaré functional equations, harmonic measures on Julia sets, and fractal zeta functions, In Fractal Geometry and Stochastics V (Christoph Bandt, others, eds.), Birkhäuser Verlag, 70, 157-174, (2015). [bibtex] [pdf]
[12]Florian Greinecker, On the 2-abelian Complexity of Thue-Morse Word, Theoret. Comput. Sci., 593, 88-105, (2015). [bibtex] [doi]
[11]Florian Greinecker, Combinatorial and number theoretic properties of certain automatic sequences, PhD thesis, TU Graz, (2015). [bibtex] [url]
2016
[10]Barat, Guy and Grabner, Peter, Spatial equidistribution of binomial coefficients modulo prime powers, Unif. Distrib. Theory, 11(2), 151-161, (2016). [bibtex] [pdf]
[9]Barat, Guy and Grabner, Peter, Combinatorial and probabilistic properties of systems of numeration, Ergodic Theory Dynam. Systems, 36(2), 422–457, (2016). [bibtex] [pdf] [doi]
2017
[8]Brauchart, Johannes S., Grabner, Peter J. and Kusner, Wöden B., Hyperuniform point sets on the sphere: deterministic constructions, (2017). (preprint) [bibtex]
[7]Greinecker, Florian, Spatial equidistribution of combinatorial number schemes, J. Fractal Geom., 4(2), 105–126, (2017). [bibtex]
2018
[6]Derfel, Gregory, Grabner, Peter J. and Tichy, Robert F., On the asymptotic behaviour of the zeros of solutions of one functional-differential equation with rescaling, Chapter in Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations, Springer, 281–295, (2018). [bibtex]
[5]Grabner, Peter J., A Note on Some Approximation Kernels on the Sphere, Chapter in Contemporary Computational Mathematics — A Celebration of the 80th birthday of Ian Sloan (Dick, J., others, eds.), Springer Verlag, 443–453, (2018). [bibtex] [doi]
2019
[4]Peter J. Grabner and Tetiana A. Stepanyuk, Upper and lower estimates for numerical integration errors on spheres of arbitrary dimension, Journal of Complexity, 53, 113 - 132, (2019). [bibtex] [url] [doi]
2020
[3]Carlos Beltrán and Damir Ferizović, Approximation to uniform distribution in SO(3), Constructive Approximation, 52(2), 283–311, (2020). [bibtex] [doi]
2021
[2]Dmitriy Bilyk, Damir Ferizović, Alexey Glazyrin, Ryan Matzke, Josiah Park and Oleksandr Vlasiuk, Potential theory with multivariate kernels, (2021). (preprint) [bibtex]
[1]Damir Ferizović, On the $L^2$-norm of Gegenbauer polynomials, Mathematical Sciences, (2021). [bibtex] [doi]