Former Member

Dr. Isabel Pirsic

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Peer Reviewed Journal Publication
  • Z. Chen, D. Gomez-Perez, G. Pirsic (2014, online: 2014) On lattice profile of the elliptic curve linear congruential generators. Period. Math. Hungar., Bd. 68 (1), S. 1-12.
  • G. Pirsic, A. Winterhof (2010) On the structure of digital explicit nonlinear and inversive pseudorandom number generators. Journal of Complexity, Bd. 26 (1), S. 43-50.
  • Albrecher, Hansjoerg; Constantinescu, Corina; Pirsic, Gottlieb; Regensburger, Georg; Rosenkranz, Markus (2009) An algebraic operator approach to the analysis of Gerber–Shiu functions. Insurance: Mathematics and Economics .
  • (2007) An inverse of the Faá Di Bruno formula. INTEGERS (7), S. 9.
  • (2007) An inverse of the Faà di Bruno formula. (7).
  • Pirsic, G. (2006) A small taxonomy of integration node sets. Österreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II (2005), Bd. 214, S. 133-140.
  • G. Pirsic, J. Dick, F. Pillichshammer (2006) Cyclic digital nets, hyperplane nets and multivariate integration in weighted Sobolev spaces. SIAM J. Numer. Anal., Bd. 44(1), S. 358-411.
  • Dick, J.; Pirsic, G.; Pillichshammer, F. (2005) Cyclic digital nets, hyperplane nets and multivariate integration in weighted Sobolev spaces. SIAM Journal on Numerical Analysis.
  • Maharaj, H.; Matthews, G.; Pirsic, G. (2005) Riemann-Roch spaces of the Hermitian function field with applications to algebraic geometry codes and low-discrepancy sequences. Journal of Pure and Applied Algebra, Bd. 19(3), S. 261-280. (link)
  • R. Hofer, F. Pillichshammer, G. Pirsic Distribution properties of sequences generated by Q-additive functions with respect to Cantor representation of integers. Acta Arithmetica, S. 29.

Conference Contribution: Publication in Proceedings
  • F. Pillichshammer, G. Pirsic Discrepancy of hyperplane nets and cyclic nets., S. 14.

Contribution in Collection
  • R. Hofer, I. Pirsic (2014, online: 2014) Controlling the shape of generation matrices in global function field constructions of digital sequences. In: G. Larcher, F. Pillichshammer, A. Winterhof, C. Xing (Hrsg.), Applied Algebra and Number Theory: Cambridge University Press, S. 164-189.

Research Report
  • Albrecher, Hansjoerg; Constantinescu, Corina; Pirsic, Gottlieb; Regensburger, Georg; Rosenkranz, Markus (2008) An Algebraic Approach to the Analysis of Gerber-Shiu Functions. Bericht-Nr. 2008-33; Johann Radon Institute for Computational and Applied Mathematics: Linz.

Workingpaper
  • F. Pillichshammer, G. Pirsic The quality parameter of cyclic nets and hyperplane nets.