Publications supported by the FSP

Drmota, M. / Larcher, G.: The sum-of-digits-function and uniform distribution modulo 1,  J. Number Theory, 89, 65-96 (2001)

Drmota, M.: The joint distribution of $q$-additive functions, Acta Arith, to appear.

Fuchs, M.: Digital expansions of exponential sequences, J.Theor. Nombres Bordx., to appear.

Drmota, M. / Steiner W.: The Zeckendorf Expansion of Polynomial Sequences, J.Theor. Nombres Bordx., submitted.

Steiner, W.: Generalized De Bruijn digraphs, Discrete Math., submitted.

Fuchs, M.: On metric diophantine approximations in the field of Laurent series, Finite Fields Appl., submitted.

Drmota, M. / Fuchs, M. /  Manstavicius, E.: Functional limit theorems for digital expansions, Manuscript.

Steiner, W.: Parry expansions of polynomial sequences, Manuscript.

Müller, W. / Thuswaldner J. / Tichy R.: "Fractal Properties of Number Systems", to appear in "Periodica Mathematica Hungarica".

Philipp, W. / Tichy, R.: "Metric theorems for distribution measures of pseudorandom sequences", preprint.

Bilu, Y. / Tichy, R.: "The Diophantine equation f(x) = g(y)", Acta Arithmetica XCV.3 (2000), 261-288.

Bilu, Y. / Brindza, B. / Kirschenhofer, P. / Pinter, A. / Tichy, R.: "Diophantine equations and Bernoulli polynomials", preprint.

Fuchs, C. / Tichy, R.: "Perfect powers in linear recurring sequences", preprint.

Pasteka, M. / Tichy, R.: "Uniformly distributed sequences and rings of complex numbers", to appear in Rivista di Matematica della Universita di Parma.

Grabner, P. / Kirschenhofer, P. / Tichy, R.: "Combinatorial and arithmetical properties of linear numeration systems", to appear in "Combinatorica".

Bilu, Y. / Stoll, Th. / Tichy, R.: "Octahedrons with equally many lattice points", Periodica Mathematica Hungarica Vol. 40 (2) (2000), 229-238.

Berkes, I. / Philipp, W. / Tichy, R.: "Pair correlations and U-statistics for independent and weakly dependen sequencest", to appear in "Illinois J. Math.".

Dujella, A. / Tichy, R.: "Diophantine equations for second order recursive sequences of polynomials", to appear in "Oxford Quaterly Journal of Mathematics".

Albrecher, H. / Teugels, J. / Tichy, R.: "On a gamma series expansion for the time-dependent probability of collective ruin", preprint.

Albrecher, H. / Tichy, R.: "Zur Konvergenz eines Lösungsverfahrens für ein Risikomodell mit gammaverteilten Schäden", Bull. Swiss Actuarial Association (2000), no.2, 115-127.

Predota, M. / Tichy, R.: "ML-estimators for parameters of hyperbolic densities in finance", preprint.

Predota, M.: "The loghyperbolic distribution: Basic properties and random number generation", preprint.

Albrecher, H. / Kantor, J.: "Simulation of ruin probabilities for risk processes of Markovian type", preprint.

Albrecher, H.: "Metric distribution results for sequences $q_n\vec{\alpha}$", preprint.

Larcher, G. / Predota, M. / Tichy, R.: "The hyperbolic model: Asian Options and Quasi-Monte Carlo methods", submitted 2001..

Albrecher, H. / Kainhofer, R. / Tichy, R.: "Risk Theory with a non-linear dividend barrier", preprint.

Larcher, G. / Pillichshammer, F.:  Walsh Series Analysis of the L2-discrepancy of symmetrisized point sets, To appear in Monatshefte für Mathematik, 2000.

Larcher, G. / Pillichshammer, F.:   On the L2-discrepancy of the Sobol-Faure-Niederreiter net in dimension 3, 2000, To appear in Journal of Complexity

Larcher, G. / Leobacher, G.: An optimal strategy for hedging with short-term futures contracts, 2000, submitted.

Larcher, G. / Wang, K.: Monte Carlo and Quasi Monte Carlo Pricing of multi-asset options, 2000, manuscript.

Larcher, G. / Predota, M. / Tichy, R.: The hyperbolic model: Asian Options and quasi-Monte Carlo methods, 2001,  manuscript.

Larcher, G. / Pillichshammer, F.: A spectrum result for sums of distance to the nearest integer and the discrepancy of digital nets, 2001, submitted.

Brunn, B./Larcher, G. and Larcher, K.:  A Note on the Numerical Integration of Continuons Functions, preprint, submitted 2001.

Larcher, G. / Pillichshammer, F. and Scheicher K.: Weighted Discrepancy and the Numerical Integration of High-Dimensional Functions. Preprint 2001.

Larcher, G. / Pillichshammer, F.: Sampling from the hyperbolic distribution, preprint.

Pillichshammer, F.:  On the Lp-Discrepancy of the Hammersley Point Set, submitted 2001.

Pillichshammer, F.:  Improved Upper Bounds for the Star Discrepancy of Digital Nets in Dimension 3, manuscript, 2001.

Scheicher, K. /Thuswaldner, J.M.: Canonical number systems, counting automata and fractals, math.proc.philos.soc., to appear.

Scheicher, K. /Thuswaldner, J.M.: On the characterization of canonical number systems, submitted.

Larcher, G. / Leobacher, G.: Quasi-Monte Carlo and Monte Carlo Methods in Finance. Preprint 2001, submitted.
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Pillichshammer, F.: Digital shift nets over $Z_2$, 2001, submitted.

Bilu, Y. / Brindza, B. / Kirschenhofer, P. / Pinter, A. / Tichy, R.: Diophantine equations and Bernoulli polynomials (with an appendix by A.Schinzel), submitted.

S.D.Cohen, H.Niederreiter, I.E.Shparlinski und M.Zieve: Incomplete character sums and a special class of permutations, J.Theorie Nombres Bordeaux, preprint.

Meidl, W. und Niederreiter, H.: Counting functions and expected values for the k-error linear complexitiy, Finite Fields Appl., preprint..

Niederreiter, H.: Design and analysis of nonlinear pseudorandom number generators, Monte Carlo Simulation (G.I.Schueller und P.D.Spanos, Hrsg.), pp.3-9, A.A.Balkema Publ., Rotterdam, 2001.

Niederreiter, H. und Pirsic, G.: Duality for digital nets and its applications, Acta Arith.97, 173-182 (2001).

Niederreiter, H. und Pirsic, G.: The microstructure of (t,m,s)-nets, J.Complexity, preprint.

Niederreiter, H. und Shparlinski, I.E.: On the distribution of inversive congruential pseudorandom numbers in parts of the period, Math.Comp., 70 (2001), no.236, 1569-1574.

Niederreiter, H. und Winterhof, A.: On the distribution of compound inversive congruential pseudorandom numbers, Monatsh.Math., 132 (2001), 35-48.

Meidl, W. und Niederreiter, H.: Linear Complexy, $k$-Error Linear Complexity, and the Discrete Fourier Transform, J.Complexity, to appear.

Meidl, W. und Winterhof, A.: Lower bounds on the linear complexity of disrcrete logarithm in finite fields, IEEE Trans.Inf.Th., to appear.

Niederreiter, H. und Winterhof, A.: On a new class of inversive pseudorandom numbers for parallelized simulation methods. Periodica Mathematica Hungarica 42 (2001), 77-87.

Niederreiter, H. und Winterhof, A.: On the lattice structure of pseudorandom numbers generated over arbitrary finite fields, Applicable Algebra in Engineering, Communication and Computing 12 (2001), 265-272.

Entacher, K., Hellekalek, P. and 'Ecuyer, P.L.: Quasi-Monte Carlo Node Sets from Linear Congruential Generators. To appear in the conference proceedings of Monte Carlo and Quasi-Monte Carlo Methods 1998, Springer Verlag 2000.

Entacher, K. and Schell, T.:  From "Pseudo" to "Quasi". In Proceedings of the international conference MONTE CARLO SIMULATION MCS2000, Monaco, 2000 to appear.

Wegenkittl, S.: Entropy Estimators and Serial Tests for Ergodic Chains. To appear in IEEE Transactions on Information Theory

Wesp, G.: The Upper Bound Conjecture for Arrangements of Halfspaces. To appear in Beiträge zur Algebra und Geometrie.

Hellekalek, P.: On the Spectral Test, preprint, submitted 2001.

Hellekalek, P.:  Digital (t,m,s)-Nets in the Spectral Test. preprint, submitted, 2001.

Wegenkittl, S.:  A generalized $\phi$-divergence for asymptotically multivariate normal models. Submitted for publication in the Journal of Multivariate normal models.

'Ecuyer, P.L. and Simard, R. and Wegenkittl, S.: Sparse Serial Tests of Uniformity for Random Number Generators. Submitted for publication.

Wesp, G.: A Note on the Spectra of Certain Skew-symmetric {1,0,-1}-Matrices. Submitted for publication.
 
 
 
 
 

aktualisiert am 25.9.01