The SFB - QMC Methods: Theory and Applications
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Publications from the SFB in the different periods

Publications from 01.01.2016 until today

  1. Kritzer, P., Pillichshammer F.: Tractability of multivariate integration in hybrid function spaces. In: Monte Carlo and Quasi-Monte Carlo Methods 2014. (R. Cools and D. Nuyens eds.), Springer, Berlin Heidelberg New York, pp. 437-454, 2016. arXiv:1404.3493.
  2. Szölgyenyi M.: Dividend maximization in a hidden Markov switching model. In: Statistics & Risk Modeling, 32(3-4), pp. 143-158, 2016. arXiv: 1602.04656.
  3. Drmota M., Mauduit C., Rivat J.: The Thue Morse Sequence along Squares is Normal. manuscript, Pdf.
  4. Hofer R., Niederreiter H.: Vandermonde Nets and Vandermonde Sequences. In: Monte Carlo and Quasi-Monte Carlo Methods 2014. (R. Cools and D. Nuyens eds.), Springer, Berlin Heidelberg New York, Vol. 163, pp. 87-105, 2016, Pdf.
  5. Leobacher G., Szölgyenyi M.: A numerical method for SDEs with discontinuous drift. In: BIT Numerical Mathematics, 56(1), pp. 151-162, 2016. arXiv:1503.08005.
  6. Hellekalek P., Kritzer P., Pillichshammer F.: Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces. In: J. Complexity (33), pp. 169-189, 2016. arXiv:1411.3823.
  7. Winterhof A., Yayla O.: Family complexity and cross-correlation measure for families of binary sequences. In: The Ramanujan Journal, (39), pp. 639-645, 2016. arXiv:1408.4980.
  8. Shparlinski I., Roche-Newton O.: Polynomial values in subfields and affine subspaces of finite fields. In: Quarterly Journal of Mathematics. Bd., pp. 10, to appear. arXiv:1407.2273.
  9. Mérai, L.: Pseudorandomness of binary sequences derived from linear recursions. In: Periodica Math. Hungar. Bd., pp. 59-65, to appear. Pdf.
  10. Roche-Newton O., Zhelezov D.: A bound on the multiplicative energy of a sum set and extremal sum-product problems. In: Moscow Journal of Combinatorics and Number Theory. Bd., pp. 10, to appear. arXiv:1410.1156.
  11. Saad Eddin S.: An explicit upper bound for $left|L(1, chi) ight|$ when $chi(2)=1$ and $chi$ is even. In: International Journal of Number Theory, published online, 2016. doi:10.1142/S1793042116501372.
  12. Irrgeher C., Kritzer P., Pillichshammer F., Wozniakowski H.: Tractability of Multivariate Approximation Defined over Hilbert Spaces with Exponential Weights. In: J. Approx. Theory (207), pp. 301-338, 2016. arXiv:1502.03286.
  13. Bors A.: On the dynamics of endomorphisms of finite groups. In: Applicable Algebra in Engineering, Communication and Computing, to appear. doi:10.1007/s00200-016-0304-9.
  14. Dick J., Kritzer P.: On a projection-corrected component-by-component construction. In: J. Complexity (32), pp. 74-80, 2016. arXiv:1502.04396.
  15. Aistleitner C., Hofer R., Larcher G.: On parametric Thue-Morse Sequences and Lacunary Trigonometric Products. Submitted. arXiv:1502.06738.
  16. Saad Eddin S.: An asymptotic distribution for $|L^{prime}/L(1, chi)|$, Submitted. arXiv:1503.08353.
  17. Hofer R., Ramaré O.: Discrepancy estimates for some linear generalized monomials. In: Acta Arithmetica, 173, pp. 183-196, 2016. Pdf.
  18. Kritzer, P., Pillichshammer, F., Wasilkowski, G.W.: Very low truncation dimension for high dimensional integration under modest error demand. In:  J. Complexity, 35, pp. 63-85,2016. arxiv:1506.02458.
  19. Berkes I., Tichy R.: The Kadec-Pe{l}czynski theorem in $L^p, 1le p<2$, Proc. AMS, arXiv:1506.07453, to appear.
  20. Baláž V., Iacò M.R., Strauch O., Thonhauser S., Tichy R.: An extremal problem in uniform distribution theory. In: Uniform Distribution Theory, to appear, arXiv:1503.03980.
  21. Iacò M.R., Ziegler V: Discrepancy of generalized LS-sequences, Submitted, arXiv: 1503. 07299.
  22. Brauchart J.S.: Explicit formulas for the Riesz energy of the N-th roots of unity, In: Modern Trends in Constructive Function Theory: Conference in Honor of Ed Saff's 70th Birthday: Constructive Functions 2014, (Hardin, Douglas P. and Lubinsky, Doron S. and Simanek, Brian Z. eds.), American Mathematical Soc., 661, pp. 101-120, 2016. arXiv:1105.5530.
  23. Larcher G.: On the discrepancy of sequences in the unit-interval. In: Indagationes Math., Vol. 27, Nr. 2, pp. 546-558. 2016.
  24. Aistleitner C., Larcher G.: Metric results on the discrepancy of sequences $ (a_n alpha )_{n ge 1} $  modulo one for integer sequences  $ (a_n )_{n ge 1} $  with polynomial growth behaviour, In: Mathematika. Nr. 62, pp. 478-491, 2016.
  25. Irrgeher C., Kritzer P., Pillichshammer F., Wozniakowski H.: Approximation in Hermite spaces of smooth functions. In: J. Approx. Theory, 207, pp. 98-126, 2016. arXiv:1506.08600.
  26. Kritzer P., Niederreiter H.: Mixed orthogonal arrays, $(u,m,e,s)$-nets, and $(u,e,s)$-sequences. In: Discrete Mathematics, to appear. arXiv:1506.09069.
  27. Shardin A. A., Szölgyenyi M.: Optimal Control of an Energy Storage Facility Under a Changing Economic Environment and Partial Information. In: International Journal of Theoretical and Applied Finance, 19(4), pp. 1-27, 2016. arXiv:1602.04662.
  28. Hanson B., Lund B., Roche-Newton O.: On distinct perpendicular bisectors and pinned distances in finite fields. In: Finite fields and their applications, to appear.
  29. Cilleruelo J., Iosevich A., Roche-Newton O., Rudnev M.: Elementary methods for incidence problems in finite fields, Submitted.
  30. Mérai L., Yayla O.: Improving results on the pseudorandomness of sequences generated via the additive order. In: Discrete Mathematics, to appear.
  31. Rudnev M., Shkredov I., Roche-Newton O.: New sum-product type estimates over finite fields. Submitted.
  32. Roche-Newton O.: A short proof of a near-optimal cardinality eestimate for the size of a product of a sum set. In: Proceedings of Symposium on Computational Geometry 2015, to appear.
  33. Bors A.:Classification of finite group automorphisms with a large cycle. In: Communications in Algebra, 44(11), pp. 4823-4843, 2016. arXiv:1410.2284
  34. Bors A.: Classification of finite group automorphisms with a large cycle II. In:  Communications in Algebra, to appear. pdf.
  35. Bors A.: Finite groups with an automorphism of large order. Submitted. pdf.
  36. Drmota M.: The discrepancy of generalized Van-der-Corput-Halton sequences. Submitted. pdf.
  37. Ramaré O., Saad Eddin S.: An effictive Vander Corput inequality. In: The Ramanujan Journal. Submitted, 2015.
  38. Aistleitner C., Larcher G.: On sequences with prescribed metric discrepancy behavior. In: Monatshefte Math. To appear.
  39. Aistleitner C., Larcher G.: On the pair correlation of fractional parts of parametric sequences, Submitted, 2015.
  40. Irrgeher C., Kritzer P., Pillichshammer F.:  Integration and approximation in cosine spaces of smooth functions. In: Math. Comput. Simulation, to appear. arXiv:1511.00328.
  41. Hinrichs A., Larcher G.: An improved lower bound for the $L_{2}$-discrepancy. In: Journal of Complexity, Vol. 34, pp. 68-77. 2016. arXiv:1509.05878
  42. Kallus Y., Kusner W.: The local optimality of the double lattice packing. In: Discrete and Computational Geometry, pp. 1-23, 2016. arXiv:1509.02241
  43. Kritzer P., Pillichshammer F., Wasilkowski G.W.:  A note on equivalence of anchored and ANOVA spaces; lower bounds. In: J. Complexity, (38), pp. 31-38, 2017. arXiv:1511.05674
  44. Leobacher G., Szölgyenyi M.: A Strong Order $1/2$ Method for Multidimensional SDEs with Discontinuous Drift. In: Annals of Applied Probability, to appear. arXiv:1512.02807
  45. Kritzinger R.: $L_p$- and $S_{p,q}^{r}B$-discrepancy of the symmetrized van der Corput sequence and modified  Hammersley point sets in arbitrary bases. In: J. Complexity (33), pp. 145-168, 2016.
  46. Kritzinger R.: An exact formula for the $L_2$ discrepancy of the symmetrized Hammersley point set. In: Math. Comput. Simulat., to appear.
  47. Laimer H.: On combined component-by-component constructions of lattice point sets. In: J. Complexity, pp. 38, 22-30, 2017. arXiv:1512.04771
  48. Hofer R.: Halton-Type Sequences to Rational Bases in the Ring of Rational Integers and in the Ring of Polynomials over a Finite Field. Submitted, 2015. Pdf.
  49. Dick J., Gomez-Perez D., Pillichshammer F., Winterhof A.: Digital inversive vectors can achieve strong polynomial tractability for the weighted star discrepancy and for multivariate integration. In: Proc. Amer. Math. Soc., to appear. arXiv:1512.06521
  50. Madritsch M., Tichy, R.: Dynamical systems and uniform distribution of sequences. In: Memorial Volume for Wolfgang Schwarz, Springer International Publishing Switzerland, to appear, arXiv:1501.07411.
  51. Aistleitner C., Pausinger F., Svane A.M., Tichy R.: On functions of bounded variation. In: Math. Proc. Camb. Phil. Soc., to appear, arXiv:1510.04522.
  52. Coons M., Spiegelhofer L.: The maximal order of hyper-($b$-ary)-expansions. Submitted, 2015. arXiv:1511.08267.
  53. Hittmeir M.: Deterministic factorization of sums and differences of powers. Submitted, 2015. arXiv:1512.06401.
  54. Dick J., Hinrichs A., Markhasin L., Pillichshammer F.: Optimal $L_p$-discrepancy bounds for second order digital sequences. In: Israel J. Math., to appear. arXiv:1601.07281.
  55. Brauchart J.S., Saff E.B., Sloan I.H., Wang Y.G., Womersley R.S.: Random Point Sets on the Sphere --- Hole Radii, Covering, and Separation. Submitted, 2015. arXiv:1512.07470
  56. Aistleitner C., Hinrichs A., Rudolf D.: On the size of the largest empty box amidst a point set. In: Discr. Appl. Math. To appear. http://arxiv.org/abs/1507.02067
  57. Kritzer P., Pillichshammer F., Wozniakowski H.: $mathbb{L}_{infty}$-approximation in Korobov spaces with exponential weights. In: Journal of Complexity, to appear. arXiv:1602.02572.
  58. Grepstad S., Lev N.: Riesz bases, Meyer's quasicrystals, and bounded remainder sets, Submitted, 2016. arXiv:1602.00495.
  59. Agora E., Grepstad S., Kolountzakis M.N.: Spectra for cubes in products of finite cyclic groups, Submitted, 2016. arXiv:1602.03165.
  60. Grepstad S., Larcher G.: Sets of bounded remainder for the continuous irrational rotation on $[0,1)^2$, Submitted, 2016. arXiv:1603.00207
  61. Aistleitner C., Hofer R., Larcher G.: Some recent developments at the intersection of Diophantine approximation, analytic number theory, and irregularities of distribution, Submitted, 2016.
  62. Kritzinger L. M., Kritzinger R.: $L_2$ discrepancy of symmetrized generalized Hammersley point sets in base $b$. In: J. Number Theory (166), pp. 250-275, 2016. arXiv:1511.04937.
  63. Kritzer P., Pillichshammer F., Wasilkowski G.W.: Truncation Dimension for Function Approximation, Submitted, 2016. arXiv:1610.02852.
  64. Hittmeir M.: Computational aspects of rational residuosity, Submitted, 2016. arxiv.org:1604.07791.
  65. Moree P., Saad Eddin S.: Products of two proportional primes. Submitted, 2016. arXiv:1606.07727.
  66. Eichler A., Leobacher G., Szölgyenyi M.: Utility Indifference Pricing of Insurance Catastrophe Derivatives, Submitted, 2016. arXiv:1607.01110.
  67. Kusner W.: On the densest packing of polycylinders in any dimension. In: Discrete & Computational Geometry 55.3, pp. 638-641, 2016. arXiv:1405.0497.
  68. Barat G., Grabner P. J.: Spatial equidistribution of binomial coefficients modulo prime powers. In: Unif. Distrib. Theory, to appear.
  69. Elsholtz C., Technau N., Tichy R.: On the regularity of primes in arithmetic progressions. In: Int. J. Number Theory, to appear. arXiv:1602.04317.
  70. Iacò M.R., Steiner W., Tichy R.: Linear recursive odometers and beta-expansions, In: Uniform Distribution Theory, to appear. arXiv:1604.07223.
  71. Tichy R.: Beweise im Schulunterricht: strukturiertes Denken und präzise Sprache, In: Didaktikhefte der ÖMG, to appear.
  72. Kreso D., Tichy R.: Diophantine equations and monodromy groups, to appear. arXiv:1601.07316.
  73. Dubickas A., Kreso D.: Diophantine equations with truncated binomial expansions, In: Indag. Math., 27, pp. 392-405, 2016.
  74. Hales T., Kusner W.: Packings of Regular Pentagons in the Plane, Submitted, 2016. arXiv:1602.07220.
  75. Dick J., Irrgeher C., Leobacher G., Pillichshammer F.: On the optimal order of integration in Hermite spaces with finite smoothness, Submitted, 2016. arXiv:1608.06061.
  76. Dick J., Pillichshammer F., Suzuki K., Ullrich M., Yoshiki T.: Lattice based integration algorithms: Kronecker sequences and rank-1 lattices, Submitted, 2016. arXiv:1608.08687.
  77. Aistleitner Ch., Larcher G., Pillichshammer F., Saad Eddin S., Tichy R.F.: On Weyl products and uniform distribution modulo one, Submitted, 2016. arXiv: 1609.04929.
  78. Kritzer P., Niederreiter H., Pillichshammer F.: Ian Sloan and Lattice Rules, Submitted, 2016.
  79. Leobacher G., Szölgyenyi M.: Convergence of the Euler-Maruyama method for multidimensional SDEs with discontinuous drift and degenerate diffusion coefficient, Submitted, 2016. arXiv:1610.07047.
  80. Isik L., Topuzoglu A., Winterhof A.: Complete mappings and Carlitz rank. Designs, Codes and Cryptography, to appear. arXiv: 1604.07710.
  81. Mérai L., Winterhof A.: On the linear complexity profile of some sequences derived from elliptic curves. In: Designs, Codes, and Cryptography, Vol. 81, pp. 259-267, 2016. arXiv:1509.06909.
  82. Hofer R., Winterhof A.: Linear complexity and expansion complexity of some number theoretic sequences. In: Lecture Notes Computer Science, to appear. Pdf.
  83. Mérai L., Niederreiter H., Winterhof A.: Expansion complexity and linear complexity of sequences over finite fields. In: Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences, to appear. arXiv:1606.06482.
  84. Mérai L., Winterhof A.: On the pseudorandomness of the Liouville function of polynomials over a finite field. In: Journal Uniform Distribution Theory, Vol. 1 (1), pp. 47-58. Pdf.
  85. Su M., Winterhof A.: On the pseudorandomness of quaternary sequences derived from sequences over F_4. In: Periodica Mathematica Hungarica, to appear. Pdf.
  86. Hofer R., Winterhof A.:On the arithmetic autocorrelation of the Legendre sequence. In: Advances in Mathematics of Communications, to appear. Pdf.
  87. Hofer R., Merai L., Winterhof A.: Measures of pseudorandomness: Arithmetic autocorrelation and correlation measure. In: C. Elsholtz, P. Grabner (Hrsg.), Number Theory - Diophantine problems, uniform distribution and applications, Festschrift in honour of Robert F. Tichy's 60th birthday.: Springer. Pdf.
  88. Dick J., Hinrichs A., Markhasin L., Pillichshammer F.: Discrepancy of second order digital sequences in function spaces with dominating mixed smoothness. In: Mathematika, to appear. arXiv:1604.08713
  89. Kritzinger R., Laimer H., Neumüller M.: A reduced fast construction of polynomial lattice point sets with low weighted star discrepancy. Submitted, 2016. arXive:1701.02525.
  90. Moore P., Saad Eddin S.: Products of two proportional primes. In: International Journal of Number Theory, to appear. arXiv:1606.07727
  91. Mérai L.: On the typical values of the cross-correlation measure. In: Monatsh. Math. Vol.180, no. 1, pp. 83-99, 2016. doi:10.1007/s00605-016-0886-0.
  92. Mérai L.: The cross-correlation measure of families of finite binary sequences: limiting distributions and minimal values. In: Discrete Appl. Math., http://www.sciencedirect.com/science/journal/0166218X/214/supp/CVol. 214, pp. 153–168, 2016. doi:10.1016/j.dam.2016.06.024arXive:1608.02354 .
  93. Mérai L.: On pseudorandom properties of certain sequences of points on elliptic curve.In: Lecture Notes Computer Science, to appear.
  94. Mérai L.: Predicting the elliptic curve congruential generator. In: Appl. Algebra Eng. Commun. Comput. , pp.1-11, 2016. doi:10.1007/s00200-016-0303-x
  95. Bors A.: Finite groups with an automorphism inverting, squaring or cubing a non-negligible fraction of elements. Submitted, 2016. Pdf.
  96. Bors A.: Fibers of word maps and an application to composition factors. Submitted, 2016. Pdf.
  97. Kritzer P., Laimer H., Pillichshammer F.: Tractability of $L_2$ -approximation in hybrid function spaces. Submitted, 2017. arXive:1701.02910.
  98. Kritzinger R.: Optimal discrepancy rate of point sets in Besov spaces with negative smoothness. Submitted, 2017. arXiv:1701.01970.
  99. Drmota M., Kauers M., Spiegelhofer L.: On a Conjecture of Cusick Concerning the Sum of Digits of $n$ and $n + t$. In: SIAM J. Discrete Math., 30(2), pp. 621-649, 2016. arXiv:1509.08623.
  100. Müllner C., Spiegelhofer L.: Normality of the Thue--Morse sequence along Piatetski-Shapiro sequences, II. In: Israel J. Math., to appear. arXiv:1511.01671.
  101. Spiegelhofer L., Wallner M.: Divisibility of binomial coefficients by powers of primes. Submitted, 2016. arXiv:1604.07089.
  102. Spiegelhofer L.: A digit reversal property for Stern polynomials. Submitted, 2016. arXiv:1610.00108.
  103. Müllner C.: Automatic sequences fulfill the Sarnak conjecture. Submitted, 2016. arXiv:1602.03042.
  104. Drmota M., Hofer R., Larcher G.: On the discrepancy of Halton-Kronecker sequences. In: Festschrift in honour of Robert F. Tichy's 60th birthday, Springer, to appear. Pdf.
  105. Hinrichs A., Kritzer P., Pillichshammer F., and Wasilkowski G.W.: Truncation dimension for linear problems on multivariate function spaces. Submitted, 2017.


Publications in the period 01.01.2015-31.12.2015, list

Publications in the period 01.02.2014-31.12.2014, list

Books in the period 01.02.2014-31.01.2017:

  1. Saad Eddin S.: Two problems with Laurent-Stieltjes coefficients. LAP Lambert Academic Publishing. 2017.
  2. Kritzer P., Niederreiter H., Pillichshammer F., Winterhof A. (eds.): Uniform Distribution and Quasi-Monte Carlo Methods: Discrepancy, Integration and Applications. In Reihe: Radon Series on Computational and Applied Mathematics (15) Berlin. 2014.
  3. Larcher G., Pillichhammer F., Winterhof A., Xing C. (eds.): Applied Algebra and Number Theory. Cambridge: Cambridge University Press, 2014.
  4. Leobacher G., Pillichshammer F.: Introduction to Quasi-Monte Carlo Integration and Applications. Birkhäuser. 2014.
  5. Niederreiter H., Ostafe A., Panario D., Winterhof A. (eds.) Algebraic Curves and Finite Fields: Cryptography and Other Applications. In Reihe: Radon Series on Computational and Applied Mathematics (16), De Gruyter, Berlin. 2014.
  6. Schmidt K.-U., Winterhof A. (Hrsg.): Sequences and Their Applications SETA 2014. In Reihe: Lecture Notes Computer Science: Springer. 2014.
  7. Niederreiter H., Winterhof A.: Applied Number Theory, Berlin: Springer. 2015.