Edit Profile (opens in new tab) Tichy, Robert Franz Compute Distance To: Compute Author ID: tichy.robert-franz Published as: Tichy, Robert F.; Tichy, R. F.; Tichy, Robert; Tichy, R.; Tichy, Robert Franz more...less Homepage: https://www.math.tugraz.at/~tichy/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 263 Publications since 1978, including 2 Books 8 Contributions as Editor Reviewing Activity: 544 Reviews Biographic References: 2 Publications Co-Authors: 115 Co-Authors with 205 Joint Publications 2,547 Co-Co-Authors all top 5 Co-Authors 63 single-authored 26 Grabner, Peter J. 20 Kirschenhofer, Peter 15 Berkes, István 15 Pethő, Attila 14 Drmota, Michael 11 Prodinger, Helmut 9 Aistleitner, Christoph 8 Albrecher, Hansjörg 8 Larcher, Gerhard 8 Turnwald, Gerhard 8 Winkler, Reinhard 8 Ziegler, Volker 6 Fuchs, Clemens 6 Madritsch, Manfred G. 6 Philipp, Walter 6 Siegl, Thomas 5 Blümlinger, Martin 5 Iacò, Maria Rita 5 Kainhofer, Reinhold F. 5 Kiss, Péter 5 Nowak, Werner Georg 5 Paštéka, Milan 5 Stoll, Thomas 5 Thuswaldner, Jörg Maximilian 4 Hartinger, Jürgen 4 Heuberger, Clemens 4 Niederreiter, Harald 3 Bilu, Yuri F. 3 Dujella, Andrej 3 Flajolet, Philippe 3 Halter-Koch, Franz 3 Liardet, Pierre 3 Nemes, István 3 Strauch, Oto 3 Thonhauser, Stefan 3 Wagner, Stephan G. 2 Buchta, Christian 2 Derfel, Gregory 2 Filipin, Alan 2 Frei, Christopher 2 Gruber, Peter Manfred 2 Herendi, Tamás 2 Hofer, Markus 2 Kerber, Michael 2 Klinger, Bernhard 2 Kreso, Dijana 2 Losert, Viktor 2 Pillichshammer, Friedrich 2 Rote, Günter 2 Scheicher, Klaus 2 Tomantschger, Kurt Walter 2 Vukusic, Ingrid 2 Weitzer, Mario 2 Yang, Daodao 1 Allouche, Jean-Paul Simon 1 Baláž, Vladimír 1 Barat, Guy 1 Barroero, Fabrizio 1 Bergelson, Vitaly 1 Biester, Christian 1 Bradley, Richard C. jun. 1 Brindza, Béla 1 Burg, Thomas P. 1 Ddamulira, Mahadi 1 Dehling, Herold G. 1 Dorfer, Gerhard 1 Elsholtz, Christian 1 Filipponi, Piero 1 Frisch, Sophie 1 Goldstern, Martin Robert 1 Grabner, J. P. 1 Gusić, Ivica 1 Hellekalek, Peter 1 Helmberg, Gilbert 1 Hlawka, Edmund 1 Hofer, Roswitha 1 Knopfmacher, Arnold 1 Kolesnik, Grigoriĭ Abramovich 1 Kopecek, N. 1 Krizer, Peter 1 Larchner, Gerhard 1 Leobacher, Gunther 1 Lettl, Günter Hermann Alexander 1 Luca, Florian 1 Matoušek, Jiří 1 Mišík, Ladislav jun. 1 Müller, Josef S. 1 Müller, Wolfgang 1 Pausinger, Florian 1 Peligrad, Magda 1 Perktold, Karl 1 Pintér, Ákos 1 Predota, Martin 1 Preischl, Michael 1 Püngel, Jürgen 1 Radović, Igor 1 Reitgruber, Wolfgang 1 Saad Eddin, Sumaia 1 Scheerer, Adrian-Maria 1 Schinzel, Andrzej ...and 16 more Co-Authors all top 5 Serials 20 Sitzungsberichte. Abteilung II. Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse 15 Monatshefte für Mathematik 13 Anzeiger der Österreichischen Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse 10 Acta Arithmetica 8 Manuscripta Mathematica 7 Publicationes Mathematicae Debrecen 7 Internationale Mathematische Nachrichten 6 Journal of Number Theory 5 Mathematica Slovaca 5 Grazer Mathematische Berichte 5 Uniform Distribution Theory 4 Periodica Mathematica Hungarica 4 Archiv der Mathematik 4 The Fibonacci Quarterly 4 Applied Mathematics Letters 4 Indagationes Mathematicae. New Series 3 Journal of Mathematical Analysis and Applications 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Compositio Mathematica 3 Mathematische Nachrichten 3 Proceedings of the American Mathematical Society 3 Proceedings of the Japan Academy. Series A 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Semigroup Forum 3 Insurance Mathematics & Economics 3 Journal of Complexity 3 Monte Carlo Methods and Applications 3 Anzeiger. Abteilung II. Österreichische Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse 3 Mitteilungen. Schweizerische Aktuarvereinigung (SAV) 2 Discrete Applied Mathematics 2 Israel Journal of Mathematics 2 Mathematics of Computation 2 Illinois Journal of Mathematics 2 Indagationes Mathematicae 2 Journal of Computational and Applied Mathematics 2 Mathematika 2 Transactions of the American Mathematical Society 2 Journal of Symbolic Computation 2 Probability Theory and Related Fields 2 Séminaire Lotharingien de Combinatoire 2 Lecture Notes in Mathematics 1 Discrete Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Scientiarum Mathematicarum 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Colloquium Mathematicum 1 Computing 1 Czechoslovak Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Mitteilungen. Vereinigung Schweizerischer Versicherungsmathematiker (VSV) 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Quaestiones Mathematicae 1 Rendiconti del Seminario Matematico della Università di Padova 1 Theoretical Computer Science 1 Tsukuba Journal of Mathematics 1 Ergodic Theory and Dynamical Systems 1 Combinatorica 1 Acta Mathematica Hungarica 1 Mathematical and Computer Modelling 1 Mathematica Pannonica 1 Aequationes Mathematicae 1 Doklady Bolgarskoĭ Akademii Nauk 1 Glasnik Matematički. Serija III 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal de Théorie des Nombres de Bordeaux 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 International Journal of Theoretical and Applied Finance 1 Journal of Integer Sequences 1 Rivista di Matematica della Università di Parma. Serie 6 1 The Quarterly Journal of Mathematics 1 Integers 1 Scandinavian Actuarial Journal 1 MATCH - Communications in Mathematical and in Computer Chemistry 1 International Journal of Number Theory 1 Proceedings of the Steklov Institute of Mathematics 1 Developments in Mathematics 1 RIMS Kôkyûroku Bessatsu 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Journal of Computational Biology 1 Rivista di Matematica della Università di Parma. New Series 1 Research in Number Theory all top 5 Fields 194 Number theory (11-XX) 32 Probability theory and stochastic processes (60-XX) 31 Numerical analysis (65-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Combinatorics (05-XX) 11 History and biography (01-XX) 11 Computer science (68-XX) 9 Measure and integration (28-XX) 8 General and overarching topics; collections (00-XX) 7 General algebraic systems (08-XX) 7 Convex and discrete geometry (52-XX) 6 Real functions (26-XX) 5 Group theory and generalizations (20-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Special functions (33-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Sequences, series, summability (40-XX) 4 General topology (54-XX) 4 Statistics (62-XX) 3 Field theory and polynomials (12-XX) 3 Functions of a complex variable (30-XX) 3 Partial differential equations (35-XX) 3 Abstract harmonic analysis (43-XX) 3 Information and communication theory, circuits (94-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 179 Publications have been cited 1,417 times in 1,059 Documents Cited by ▼ Year ▼ Sequences, discrepancies and applications. Zbl 0877.11043Drmota, Michael; Tichy, Robert F. 335 1997 Fibonacci numbers of graphs. Zbl 0475.05046Prodinger, Helmut; Tichy, Robert F. 83 1982 Mellin transforms and asymptotics: Digital sums. Zbl 0788.44004Flajolet, Philippe; Grabner, Peter; Kirschenhofer, Peter; Prodinger, Helmut; Tichy, Robert F. 54 1994 The Diophantine equation \(f(x) = g(y)\). Zbl 0958.11049Bilu, Yuri F.; Tichy, Robert F. 52 2000 Quasi-Monte-Carlo methods and the dispersion of point sequences. Zbl 0855.11041Rote, G.; Tichy, R. F. 26 1996 Diophantine equations and Bernoulli polynomials (with an appendix by A. Schinzel). Zbl 1028.11016Bilu, Yu. F.; Brindza, B.; Kirschenhofer, P.; Pintér, Á.; Tichy, R. F. 26 2002 On the distribution of dividend payments and the discounted penalty function in a risk model with linear dividend barrier. Zbl 1092.91036Albrecher, Hansjörg; Hartinger, Jürgen; Tichy, Robert F. 25 2005 Odometers and systems of numeration. Zbl 0822.11008Grabner, Peter J.; Liardet, Pierre; Tichy, Robert F. 24 1995 Stochastical approximation of convex bodies. Zbl 0543.52003Buchta, C.; Müller, J.; Tichy, R. F. 23 1985 Contributions to digit expansions with respect to linear recurrences. Zbl 0711.11004Grabner, P. J.; Tichy, R. F. 21 1990 On digit expansions with respect to linear recurrences. Zbl 0676.10010Pethö, Attila; Tichy, Robert F. 20 1989 Spherical designs, discrepancy and numerical integration. Zbl 0795.65011Grabner, Peter J.; Tichy, Robert F. 16 1993 Quasi-Monte Carlo methods for numerical integration: Comparison of different low discrepancy sequences. Zbl 0851.65015Radović, Igor; Sobol’, Ilya M.; Tichy, Robert F. 16 1996 Graphs, partitions and Fibonacci numbers. Zbl 1121.05031Knopfmacher, Arnold; Tichy, Robert F.; Wagner, Stephan; Ziegler, Volker 15 2007 Combinatorial and arithmetical properties of linear numeration systems. Zbl 1012.11070Grabner, Peter J.; Kirschenhofer, Peter; Tichy, Robert F. 15 2002 Simulation methods in ruin models with nonlinear dividend barriers. Zbl 1036.91029Albrecher, Hansjörg; Kainhofer, Reinhold; Tichy, Robert F. 15 2003 \(\alpha\)-expansions, linear recurrences, and the sum-of-digits function. Zbl 0725.11005Grabner, Peter J.; Tichy, Robert F. 14 1991 On a gamma series expansion for the time-dependent probability of collective ruin. Zbl 1025.62036Albrecher, Hansjörg; Teugels, Jozef L.; Tichy, Robert F. 14 2001 Deviations from uniformity in random strings. Zbl 0638.68058Flajolet, P.; Kirschenhofer, P.; Tichy, R. F. 13 1988 An extension of Minkowski’s singular function. Zbl 0871.26008Tichy, R. F.; Uitz, J. 13 1995 A process with stochastic claim frequency and a linear dividend barrier. Zbl 0944.91032Siegl, Thomas; Tichy, Robert F. 13 1999 Generalized Zeckendorf expansions. Zbl 0792.11002Grabner, P. J.; Tichy, R. F.; Nemes, I.; Pethö, A. 12 1994 Diophantine equations for second-order recursive sequences of polynomials. Zbl 0997.11026Dujella, Andrej; Tichy, Robert F. 12 2001 Normality of numbers generated by the values of entire functions. Zbl 1213.11151Madritsch, Manfred G.; Thuswaldner, Jörg M.; Tichy, Robert F. 11 2008 Empirical processes in probabilistic number theory: the LIL for the discrepancy of \((n_{k}\omega)\bmod 1\). Zbl 1145.11058Berkes, István; Philipp, Walter; Tichy, Robert F. 11 2006 Complete solution of parametrized Thue equations. Zbl 1024.11017Heuberger, C.; Pethő, A.; Tichy, R. F. 11 1998 Uniform distribution of prime powers and sets of recurrence and van der Corput sets in \(\mathbb{Z}^k\). Zbl 1316.11062Bergelson, Vitaly; Kolesnik, Grigori; Madritsch, Manfred; Son, Younghwan; Tichy, Robert 11 2014 \(S\)-unit equations, linear recurrences and digit expansions. Zbl 0792.11006Pethö, Attila; Tichy, Robert F. 10 1993 The number of spanning trees in the square of a cycle. Zbl 0587.05040Baron, G.; Prodinger, H.; Tichy, R. F.; Boesch, F. T.; Wang, J. F. 10 1985 Inequalities for the gamma function with applications to permanents. Zbl 0863.33001Grabner, Peter J.; Tichy, Robert F.; Zimmermann, Uwe T. 10 1996 Fractal properties of number systems. Zbl 0980.11007Müller, Wolfgang; Thuswaldner, Jörg M.; Tichy, Robert F. 10 2001 Beiträge zur Diskrepanz bezüglich gewichteter Mittel. (Contributions to the discrepancy with respect to weighted means). Zbl 0498.10030Niederreiter, Harald; Tichy, Robert F. 10 1983 Units generating the ring of integers of complex cubic fields. Zbl 1183.11016Tichy, Robert F.; Ziegler, Volker 9 2007 Thomas’ family of Thue equations over imaginary quadratic fields. Zbl 1009.11022Heuberger, Clemens; Pethő, Attila; Tichy, Robert F. 9 2002 On the moments of the sum-of-digits function. Zbl 0797.11012Grabner, P. J.; Kirschenhofer, P.; Prodinger, H.; Tichy, R. F. 8 1993 On the distribution of digits in Cantor representations of integers. Zbl 0582.10038Kirschenhofer, P.; Tichy, R. F. 8 1984 Pair correlations and \(U\)-statistics for independent and weakly dependent random variables. Zbl 1015.11034Berkes, István; Philipp, Walter; Tichy, Robert 8 2001 Diophantine \(m\)-tuples for linear polynomials. Zbl 1059.11027Dujella, Andrej; Fuchs, Clemens; Tichy, Robert F. 8 2002 Equidistribution and Brownian motion on the Sierpiński gasket. Zbl 0915.11041Grabner, Peter J.; Tichy, Robert F. 8 1998 Ergodic properties of \(\beta\)-adic Halton sequences. Zbl 1395.11106Hofer, Markus; Iacò, Maria Rita; Tichy, Robert 8 2015 Waring’s problem with digital restrictions. Zbl 1132.11050Thuswaldner, Jörg M.; Tichy, Robert F. 7 2005 On analytical and diophantine properties of a family of counting polynomials. Zbl 0983.11013Kirschenhofer, Peter; Pethő, Attila; Tichy, Robert F. 7 1999 Regular maps in generalized number systems. Zbl 0957.11014Allouche, Jean-Paul; Scheicher, Klaus; Tichy, Robert F. 7 2000 Fractal digital sums and codes. Zbl 0874.11012Grabner, Peter J.; Herendi, Tamás; Tichy, Robert F. 7 1997 Fibonacci numbers of graphs. II. Zbl 0498.05039Kirschenhofer, Peter; Prodinger, Helmut; Tichy, Robert F. 7 1983 Additive unit representations in rings over global fields – a survey. Zbl 1249.11105Barroero, Fabrizio; Frei, Christopher; Tichy, Robert F. 7 2011 Quasi-Monte Carlo algorithms for unbounded, weighted integration problems. Zbl 1072.65001Hartinger, Jürgen; Kainhofer, Reinhold F.; Tichy, Robert F. 7 2004 On the law of the iterated logarithm for permuted lacunary sequences. Zbl 1297.60015Aistleitner, C.; Berkes, I.; Tichy, R. 7 2012 Perfect powers in linear recurring sequences. Zbl 1052.11022Fuchs, Clemens; Tichy, Robert F. 7 2003 C-uniform distribution on compact metric spaces. Zbl 0639.10034Drmota, Michael; Tichy, Robert F. 6 1988 Uniform distribution of recurrences in Dedekind domains. Zbl 0543.10010Tichy, R. F.; Turnwald, G. 6 1985 Uniform distribution preserving mappings. Zbl 0708.11034Tichy, Robert F.; Winkler, Reinhard 6 1991 On the discrepancy of some special sequences. Zbl 0628.10052Tichy, Robert F.; Turnwald, Gerhard 6 1987 Solution procedures for a risk model with exponentially decreasing loss distribution. (Lösungsverfahren eines Risikomodells bei exponentiell fallender Schadensverteilung.) Zbl 0906.62110Siegl, Thomas; Tichy, Robert F. 6 1996 Metric discrepancy results for sequences \(\{n_k x\}\) and Diophantine equations. Zbl 1213.11152Berkes, István; Philipp, Walter; Tichy, Robert F. 6 2008 The additive unit structure of pure quartic complex fields. Zbl 1260.11064Filipin, Alan; Tichy, Robert; Ziegler, Volker 6 2008 On uniform distribution of double sequences. Zbl 0478.10036Kirschenhofer, Peter; Tichy, Robert F. 6 1981 A uniform law of iterated logarithm for Brownian motion on compact Riemannian manifolds. Zbl 0649.60037Blümlinger, M.; Drmota, M.; Tichy, R. F. 5 1989 On permutations of Hardy-Littlewood-Pólya sequences. Zbl 1270.42009Aistleitner, Christoph; Berkes, István; Tichy, Robert F. 5 2011 Associativity of recurrence multiplication. Zbl 0815.11011Grabner, J. P.; Pethö, A.; Tichy, R. F.; Woeginger, G. J. 5 1994 On two-parametric quartic families of diophantine problems. Zbl 0926.11016Pethő, Attila; Tichy, Robert F. 5 1998 Solution of a problem of Knuth on complete uniform distribution of sequences. Zbl 0582.10036Niederreiter, Harald; Tichy, Robert F. 5 1985 Octahedrons with equally many lattice points. Zbl 0973.11040Bilu, Yuri F.; Stoll, Thomas; Tichy, Robert F. 5 2000 On permutations of lacunary series. Zbl 1278.60043Aistleitner, Christoph; Berkes, István; Tichy, Robert 5 2012 Construction of normal numbers via generalized power sequences. Zbl 1294.11123Madritsch, M. G.; Tichy, R. F. 5 2013 On the quantitative unit sum number problem – an application of the subspace theorem. Zbl 1229.11128Filipin, Alan; Tichy, Robert; Ziegler, Volker 5 2008 Diophantine equations involving general Meixner and Krawtchouk polynomials. Zbl 1073.11019Stoll, Thomas; Tichy, Robert F. 5 2005 On the Diophantine equation \(G_{n}(x) = G_{m}(P(x))\). Zbl 1026.11039Pethő, Attila; Fuchs, Clemens; Tichy, Robert F. 5 2002 On the Diophantine equation \(G_n(x)=G_m(P(x))\): Higher-order recurrences. Zbl 1026.11040Fuchs, Clemens; Pethő, Attila; Tichy, Robert F. 5 2003 Discrepancies of point sequences on the sphere and numerical integration. Zbl 0889.65017Grabner, P. J.; Klinger, B.; Tichy, R. F. 5 1997 Bemerkung zu einem versicherungsmathematischen Modell. (A note on an actuarial mathematics model). Zbl 0664.62108Tichy, Robert F. 4 1987 A discrepancy problem with applications to linear recurrences. I, II. Zbl 0692.10041Kiss, Péter; Tichy, Robert F. 4 1989 Lacunary sequences and permutations. Zbl 1219.60002Aistleitner, Christoph; Berkes, István; Tichy, Robert 4 2010 On functions of bounded variation. Zbl 1371.26019Aistleitner, Christoph; Pausinger, Florian; Svane, Anne Marie; Tichy, Robert F. 4 2017 Corrigendum to “Generalized Zeckendorf expansions”. Zbl 0812.11010Filipponi, P.; Grabner, P. J.; Nemes, I.; Pethö, A.; Tichy, R. F. 4 1994 On Weyl products and uniform distribution modulo one. Zbl 1410.11106Aistleitner, Christoph; Larcher, Gerhard; Pillichshammer, Friedrich; Eddin, Sumaia Saad; Tichy, Robert F. 4 2018 Digital blocks in linear numeration systems. Zbl 1126.11327Barat, G.; Tichy, R. F.; Tijdeman, R. 4 1999 Finitely additive measures on groups and rings. Zbl 0931.43001Frisch, Sophie; Paštéka, Milan; Tichy, Robert F.; Winkler, Reinhard 4 1999 Topological algebras of functions of bounded variation. I. Zbl 0702.46037Blümlinger, Martin; Tichy, Robert F. 4 1989 Diophantine equations for Morgan-Voyce and other modified orthogonal polynomials. Zbl 1164.11018Stoll, Thomas; Tichy, Robert F. 4 2008 Ruin theory with risk proportional to the free reserve and securitization. Zbl 0946.91025Siegl, Thomas; Tichy, Robert F. 4 2000 Thue equations associated with Ankeny-Brauer-Chowla number fields. Zbl 0965.11009Halter-Koch, F.; Lettl, G.; Pethö, A.; Tichy, R. F. 4 1999 On the distribution mod 1 of powers of real \((2 \times 2)\)-matrices. (Über die Verteilung mod 1 der Potenzen reeller \((2 \times 2)\)-Matrizen.) Zbl 0452.10046Nowak, Werner Georg; Tichy, Robert F. 4 1981 QMC techniques for CAT bond pricing. Zbl 1060.65501Albrecher, Hansjörg; Hartinger, Jürgen; Tichy, Robert F. 4 2004 Diophantine equations for classical continuous orthogonal polynomials. Zbl 1055.33012Stoll, Th.; Tichy, R. F. 4 2003 Computable absolutely Pisot normal numbers. Zbl 1406.11074Madritsch, Manfred G.; Scheerer, Adrian-Maria; Tichy, Robert F. 4 2018 A contribution to the analysis of in situ permutation. Zbl 0654.68066Kirschenhofer, P.; Prodinger, H.; Tichy, R. F. 3 1987 Some number-theoretical properties of generalized sum-of-digit functions. Zbl 0684.10010Larcher, Gerhard; Tichy, Robert F. 3 1989 Distribution functions, extremal limits and optimal transport. Zbl 1334.90145Iacò, M. R.; Thonhauser, S.; Tichy, R. F. 3 2015 Functional composition of polynomials: indecomposability, Diophantine equations and Lacunary polynomials. Zbl 1395.11054Kreso, Dijana; Tichy, Robert F. 3 2015 On the asymptotic behavior of weakly lacunary series. Zbl 1235.42005Aistleitner, C.; Berkes, I.; Tichy, R. 3 2011 Remarks on statistical independence of sequences. Zbl 0797.11063Grabner, Peter J.; Tichy, Robert F. 3 1994 Über eine zahlentheoretische Methode zur numerischen Integration und zur Behandlung von Integralgleichungen. Zbl 0549.65008Tichy, Robert F. 3 1985 Ein metrischer Satz über vollständig gleichverteilte Folgen. (A metric theorem on completely uniformly distributed sequences). Zbl 0574.10049Tichy, R. F. 3 1987 An inequality for differences of distribution functions. Zbl 0697.10041Niederreiter, H.; Tichy, R. F.; Turnwald, G. 3 1990 Distribution of the ratios of the terms of a second order linear recurrence. Zbl 0586.10006Kiss, Péter; Tichy, Robert F. 3 1986 On the least significant digit of Zeckendorf expansions. Zbl 0851.11005Grabner, P. J.; Tichy, R. F.; Nemeš, I.; Pethö, A. 3 1996 An Erdős-Kac theorem for systems of \(q\)-additive functions. Zbl 0988.11037Thuswaldner, Jörg M.; Tichy, Robert F. 3 2000 On the Diophantine equation \(G_n(x)=G_m(y)\) with \(Q(x,y)=0\). Zbl 1215.11031Fuchs, Clemens; Pethő, Attila; Tichy, Robert F. 3 2008 Metric theorems for distribution measures of pseudorandom sequences. Zbl 1033.11039Philipp, Walter; Tichy, Robert 3 2002 Multidimensional van der Corput sets and small fractional parts of polynomials. Zbl 1432.11077Madritsch, Manfred G.; Tichy, Robert F. 3 2019 Measurable sequences. Zbl 1452.11013Paštéka, Milan; Tichy, Robert 1 2019 On Weyl products and uniform distribution modulo one. Zbl 1410.11106Aistleitner, Christoph; Larcher, Gerhard; Pillichshammer, Friedrich; Eddin, Sumaia Saad; Tichy, Robert F. 4 2018 Computable absolutely Pisot normal numbers. Zbl 1406.11074Madritsch, Manfred G.; Scheerer, Adrian-Maria; Tichy, Robert F. 4 2018 On the asymptotic behaviour of the zeros of the solutions of a functional-differential equation with rescaling. Zbl 1403.34053Derfel, Gregory; Grabner, Peter J.; Tichy, Robert F. 3 2018 Diophantine equations in separated variables. Zbl 1399.11105Tichy, Robert F.; Kreso, Dijana 2 2018 On functions of bounded variation. Zbl 1371.26019Aistleitner, Christoph; Pausinger, Florian; Svane, Anne Marie; Tichy, Robert F. 4 2017 The Kadec-Pełczyński theorem in \(L^p\), \(1\leq p<2\). Zbl 1352.46012Berkes, I.; Tichy, R. 1 2016 Dynamical systems and uniform distribution of sequences. Zbl 1407.11088Madritsch, Manfred G.; Tichy, Robert F. 1 2016 An extremal problem in uniform distribution theory. Zbl 1456.11133Baláž, Vladimír; Iacò, Maria Rita; Strauch, Oto; Thonhauser, Stefan; Tichy, Robert F. 1 2016 Ergodic properties of \(\beta\)-adic Halton sequences. Zbl 1395.11106Hofer, Markus; Iacò, Maria Rita; Tichy, Robert 8 2015 Distribution functions, extremal limits and optimal transport. Zbl 1334.90145Iacò, M. R.; Thonhauser, S.; Tichy, R. F. 3 2015 Functional composition of polynomials: indecomposability, Diophantine equations and Lacunary polynomials. Zbl 1395.11054Kreso, Dijana; Tichy, Robert F. 3 2015 On permutation-invariance of limit theorems. Zbl 1328.60084Berkes, I.; Tichy, R. 1 2015 Lacunary series and stable distributions. Zbl 1328.60041Berkes, István; Tichy, Robert 1 2015 Measure density for set decompositions and uniform distribution. Zbl 1388.11045Iacò, Maria Rita; Paštéka, Milan; Tichy, Robert F. 1 2015 Uniform distribution of prime powers and sets of recurrence and van der Corput sets in \(\mathbb{Z}^k\). Zbl 1316.11062Bergelson, Vitaly; Kolesnik, Grigori; Madritsch, Manfred; Son, Younghwan; Tichy, Robert 11 2014 Construction of normal numbers via generalized power sequences. Zbl 1294.11123Madritsch, M. G.; Tichy, R. F. 5 2013 On the law of the iterated logarithm for permuted lacunary sequences. Zbl 1297.60015Aistleitner, C.; Berkes, I.; Tichy, R. 7 2012 On permutations of lacunary series. Zbl 1278.60043Aistleitner, Christoph; Berkes, István; Tichy, Robert 5 2012 A central limit theorem for Latin hypercube sampling with dependence and application to exotic basket option pricing. Zbl 1255.91424Aistleitner, Christoph; Hofer, Markus; Tichy, Robert 3 2012 On the system \(f(nx)\) and probabilistic number theory. Zbl 1345.11057Aistleitner, Christoph; Berkes, István; Tichy, Robert 1 2012 Additive unit representations in rings over global fields – a survey. Zbl 1249.11105Barroero, Fabrizio; Frei, Christopher; Tichy, Robert F. 7 2011 On permutations of Hardy-Littlewood-Pólya sequences. Zbl 1270.42009Aistleitner, Christoph; Berkes, István; Tichy, Robert F. 5 2011 On the asymptotic behavior of weakly lacunary series. Zbl 1235.42005Aistleitner, C.; Berkes, I.; Tichy, R. 3 2011 Lacunary sequences and permutations. Zbl 1219.60002Aistleitner, Christoph; Berkes, István; Tichy, Robert 4 2010 On quantitative aspects of the unit sum number problem. Zbl 1250.11090Fuchs, Clemens; Tichy, Robert; Ziegler, Volker 3 2009 Normality of numbers generated by the values of entire functions. Zbl 1213.11151Madritsch, Manfred G.; Thuswaldner, Jörg M.; Tichy, Robert F. 11 2008 Metric discrepancy results for sequences \(\{n_k x\}\) and Diophantine equations. Zbl 1213.11152Berkes, István; Philipp, Walter; Tichy, Robert F. 6 2008 The additive unit structure of pure quartic complex fields. Zbl 1260.11064Filipin, Alan; Tichy, Robert; Ziegler, Volker 6 2008 On the quantitative unit sum number problem – an application of the subspace theorem. Zbl 1229.11128Filipin, Alan; Tichy, Robert; Ziegler, Volker 5 2008 Diophantine equations for Morgan-Voyce and other modified orthogonal polynomials. Zbl 1164.11018Stoll, Thomas; Tichy, Robert F. 4 2008 On the Diophantine equation \(G_n(x)=G_m(y)\) with \(Q(x,y)=0\). Zbl 1215.11031Fuchs, Clemens; Pethő, Attila; Tichy, Robert F. 3 2008 Algorithmic generation of molecular graphs with large Merrifield-Simmons index. Zbl 1141.05077Tichy, Robert F.; Wagner, Stephan G. 1 2008 Entropy conditions for subsequences of random variables with applications to empirical processes. Zbl 1137.11049Berkes, István; Philipp, Walter; Tichy, Robert 1 2008 Graphs, partitions and Fibonacci numbers. Zbl 1121.05031Knopfmacher, Arnold; Tichy, Robert F.; Wagner, Stephan; Ziegler, Volker 15 2007 Units generating the ring of integers of complex cubic fields. Zbl 1183.11016Tichy, Robert F.; Ziegler, Volker 9 2007 Pseudorandom numbers and entropy conditions. Zbl 1133.11045Berkes, István; Philipp, Walter; Tichy, Robert F. 3 2007 Empirical processes in probabilistic number theory: the LIL for the discrepancy of \((n_{k}\omega)\bmod 1\). Zbl 1145.11058Berkes, István; Philipp, Walter; Tichy, Robert F. 11 2006 Thomas’ family of Thue equations over imaginary quadratic fields. II. Zbl 1247.11040Heuberger, Clemens; Pethő, Attila; Tichy, Robert F. 2 2006 On the distribution of dividend payments and the discounted penalty function in a risk model with linear dividend barrier. Zbl 1092.91036Albrecher, Hansjörg; Hartinger, Jürgen; Tichy, Robert F. 25 2005 Waring’s problem with digital restrictions. Zbl 1132.11050Thuswaldner, Jörg M.; Tichy, Robert F. 7 2005 Diophantine equations involving general Meixner and Krawtchouk polynomials. Zbl 1073.11019Stoll, Thomas; Tichy, Robert F. 5 2005 On the indecomposability of polynomials. Zbl 1177.11025Dujella, Andrej; Gusić, Ivica; Tichy, Robert F. 3 2005 Spectral disjointness of dynamical systems related to some arithmetic functions. Zbl 1083.37008Grabner, Peter J.; Liardet, Pierre; Tichy, Robert F. 1 2005 Quasi-Monte Carlo algorithms for unbounded, weighted integration problems. Zbl 1072.65001Hartinger, Jürgen; Kainhofer, Reinhold F.; Tichy, Robert F. 7 2004 QMC techniques for CAT bond pricing. Zbl 1060.65501Albrecher, Hansjörg; Hartinger, Jürgen; Tichy, Robert F. 4 2004 The Diophantine equation \(\alpha{x\choose m}+\beta{y\choose n}=\gamma\). Zbl 1049.11032Stoll, Th.; Tichy, R. F. 3 2004 Simulation methods in ruin models with nonlinear dividend barriers. Zbl 1036.91029Albrecher, Hansjörg; Kainhofer, Reinhold; Tichy, Robert F. 15 2003 Perfect powers in linear recurring sequences. Zbl 1052.11022Fuchs, Clemens; Tichy, Robert F. 7 2003 On the Diophantine equation \(G_n(x)=G_m(P(x))\): Higher-order recurrences. Zbl 1026.11040Fuchs, Clemens; Pethő, Attila; Tichy, Robert F. 5 2003 Diophantine equations for classical continuous orthogonal polynomials. Zbl 1055.33012Stoll, Th.; Tichy, R. F. 4 2003 Arithmetic average options in the hyperbolic model. Zbl 1061.91030Larcher, Gerhard; Predota, Martin; Tichy, Robert F. 1 2003 Diophantine equations and Bernoulli polynomials (with an appendix by A. Schinzel). Zbl 1028.11016Bilu, Yu. F.; Brindza, B.; Kirschenhofer, P.; Pintér, Á.; Tichy, R. F. 26 2002 Combinatorial and arithmetical properties of linear numeration systems. Zbl 1012.11070Grabner, Peter J.; Kirschenhofer, Peter; Tichy, Robert F. 15 2002 Thomas’ family of Thue equations over imaginary quadratic fields. Zbl 1009.11022Heuberger, Clemens; Pethő, Attila; Tichy, Robert F. 9 2002 Diophantine \(m\)-tuples for linear polynomials. Zbl 1059.11027Dujella, Andrej; Fuchs, Clemens; Tichy, Robert F. 8 2002 On the Diophantine equation \(G_{n}(x) = G_{m}(P(x))\). Zbl 1026.11039Pethő, Attila; Fuchs, Clemens; Tichy, Robert F. 5 2002 Metric theorems for distribution measures of pseudorandom sequences. Zbl 1033.11039Philipp, Walter; Tichy, Robert 3 2002 On a gamma series expansion for the time-dependent probability of collective ruin. Zbl 1025.62036Albrecher, Hansjörg; Teugels, Jozef L.; Tichy, Robert F. 14 2001 Diophantine equations for second-order recursive sequences of polynomials. Zbl 0997.11026Dujella, Andrej; Tichy, Robert F. 12 2001 Fractal properties of number systems. Zbl 0980.11007Müller, Wolfgang; Thuswaldner, Jörg M.; Tichy, Robert F. 10 2001 Pair correlations and \(U\)-statistics for independent and weakly dependent random variables. Zbl 1015.11034Berkes, István; Philipp, Walter; Tichy, Robert 8 2001 The Diophantine equation \(f(x) = g(y)\). Zbl 0958.11049Bilu, Yuri F.; Tichy, Robert F. 52 2000 Regular maps in generalized number systems. Zbl 0957.11014Allouche, Jean-Paul; Scheicher, Klaus; Tichy, Robert F. 7 2000 Octahedrons with equally many lattice points. Zbl 0973.11040Bilu, Yuri F.; Stoll, Thomas; Tichy, Robert F. 5 2000 Ruin theory with risk proportional to the free reserve and securitization. Zbl 0946.91025Siegl, Thomas; Tichy, Robert F. 4 2000 An Erdős-Kac theorem for systems of \(q\)-additive functions. Zbl 0988.11037Thuswaldner, Jörg M.; Tichy, Robert F. 3 2000 On the covergence of a solution method for a risk model with gamma-distributed claims. (Zur Konvergenz eines Lösungsverfahrens für ein Risikomodell mit gammaverteilten Schäden.) Zbl 1187.91089Albrecher, Hansjörg; Tichy, Robert F. 2 2000 Discrepancy of point sequences on fractal sets. Zbl 0960.11037Albrecher, Hansjörg; Matoušek, Jiří; Tichy, Robert F. 1 2000 A process with stochastic claim frequency and a linear dividend barrier. Zbl 0944.91032Siegl, Thomas; Tichy, Robert F. 13 1999 On analytical and diophantine properties of a family of counting polynomials. Zbl 0983.11013Kirschenhofer, Peter; Pethő, Attila; Tichy, Robert F. 7 1999 Digital blocks in linear numeration systems. Zbl 1126.11327Barat, G.; Tichy, R. F.; Tijdeman, R. 4 1999 Finitely additive measures on groups and rings. Zbl 0931.43001Frisch, Sophie; Paštéka, Milan; Tichy, Robert F.; Winkler, Reinhard 4 1999 Thue equations associated with Ankeny-Brauer-Chowla number fields. Zbl 0965.11009Halter-Koch, F.; Lettl, G.; Pethö, A.; Tichy, R. F. 4 1999 \(L^p\)-discrepancy and statistical independence of sequences. Zbl 1074.11509Grabner, Peter J.; Strauch, Oto; Tichy, Robert F. 2 1999 Complete solution of parametrized Thue equations. Zbl 1024.11017Heuberger, C.; Pethő, A.; Tichy, R. F. 11 1998 Equidistribution and Brownian motion on the Sierpiński gasket. Zbl 0915.11041Grabner, Peter J.; Tichy, Robert F. 8 1998 On two-parametric quartic families of diophantine problems. Zbl 0926.11016Pethő, Attila; Tichy, Robert F. 5 1998 Three examples of triangular arrays with optimal discrepancy and linear recurrences. Zbl 0942.11036Tichy, Robert F. 1 1998 Sequences, discrepancies and applications. Zbl 0877.11043Drmota, Michael; Tichy, Robert F. 335 1997 Fractal digital sums and codes. Zbl 0874.11012Grabner, Peter J.; Herendi, Tamás; Tichy, Robert F. 7 1997 Discrepancies of point sequences on the sphere and numerical integration. Zbl 0889.65017Grabner, P. J.; Klinger, B.; Tichy, R. F. 5 1997 Maldistribution in higher dimensions. Zbl 0923.11110Grabner, Peter J.; Strauch, Oto; Tichy, Robert F. 1 1997 Elementary inequalities in hypercomplex numbers. Zbl 0927.30029Scheicher, K.; Tichy, R. F.; Tomantschger, K. W. 1 1997 Quasi-Monte-Carlo methods and the dispersion of point sequences. Zbl 0855.11041Rote, G.; Tichy, R. F. 26 1996 Quasi-Monte Carlo methods for numerical integration: Comparison of different low discrepancy sequences. Zbl 0851.65015Radović, Igor; Sobol’, Ilya M.; Tichy, Robert F. 16 1996 Inequalities for the gamma function with applications to permanents. Zbl 0863.33001Grabner, Peter J.; Tichy, Robert F.; Zimmermann, Uwe T. 10 1996 Solution procedures for a risk model with exponentially decreasing loss distribution. (Lösungsverfahren eines Risikomodells bei exponentiell fallender Schadensverteilung.) Zbl 0906.62110Siegl, Thomas; Tichy, Robert F. 6 1996 On the least significant digit of Zeckendorf expansions. Zbl 0851.11005Grabner, P. J.; Tichy, R. F.; Nemeš, I.; Pethö, A. 3 1996 Distribution problems in Dedekind domains and submeasures. Zbl 0854.11038Paštéka, M.; Tichy, R. F. 1 1996 Odometers and systems of numeration. Zbl 0822.11008Grabner, Peter J.; Liardet, Pierre; Tichy, Robert F. 24 1995 An extension of Minkowski’s singular function. Zbl 0871.26008Tichy, R. F.; Uitz, J. 13 1995 On the stability of the quotients of successive terms of linear recurring sequences. Zbl 0920.11007Grabner, Peter J.; Tichy, Robert F.; Winkler, Reinhard 1 1995 Spherical dispersion with an application to polygonal approximation of curves. Zbl 0865.11054Rote, G.; Tichy, R. F. 1 1995 Mellin transforms and asymptotics: Digital sums. Zbl 0788.44004Flajolet, Philippe; Grabner, Peter; Kirschenhofer, Peter; Prodinger, Helmut; Tichy, Robert F. 54 1994 Generalized Zeckendorf expansions. Zbl 0792.11002Grabner, P. J.; Tichy, R. F.; Nemes, I.; Pethö, A. 12 1994 Associativity of recurrence multiplication. Zbl 0815.11011Grabner, J. P.; Pethö, A.; Tichy, R. F.; Woeginger, G. J. 5 1994 Corrigendum to “Generalized Zeckendorf expansions”. Zbl 0812.11010Filipponi, P.; Grabner, P. J.; Nemes, I.; Pethö, A.; Tichy, R. F. 4 1994 Remarks on statistical independence of sequences. Zbl 0797.11063Grabner, Peter J.; Tichy, Robert F. 3 1994 ...and 79 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,098 Authors 73 Tichy, Robert Franz 47 Shparlinski, Igor E. 30 Pillichshammer, Friedrich 29 Aistleitner, Christoph 22 Drmota, Michael 22 Larcher, Gerhard 20 Luca, Florian 18 Ziegler, Volker 17 Grabner, Peter J. 16 Madritsch, Manfred G. 16 Wagner, Stephan G. 15 Fuchs, Clemens 14 Thuswaldner, Jörg Maximilian 12 Hofer, Roswitha 12 Kritzer, Peter 12 Pethő, Attila 12 Prodinger, Helmut 12 Steinerberger, Stefan 11 Albrecher, Hansjörg 11 Dick, Josef 11 Fukuyama, Katusi 11 Hajdu, Lajos 11 Heuberger, Clemens 10 Hinrichs, Aicke 9 Bazsó, András 9 Flajolet, Philippe 9 Kirschenhofer, Peter 8 Levin, Mordekhaĭ Borisovich 8 Niederreiter, Harald 8 Winkler, Reinhard 8 Włoch, Iwona 7 Berkes, István 7 Ostafe, Alina 7 Pausinger, Florian 7 Pintér, Ákos 7 Shutov, Anton V. 7 Strauch, Oto 6 Becher, Verónica 6 Bergelson, Vitaly 6 Brauchart, Johann S. 6 Dujella, Andrej 6 Frougny, Christiane 6 Kritzinger, Ralph 6 Nowak, Werner Georg 6 Stoll, Thomas 6 Temlyakov, Vladimir Nikolaevich 6 Winterhof, Arne 6 Yong, Xuerong 5 Bérczes, Attila 5 Berger, Arno 5 Carbone, Ingrid 5 Dumas, Philippe 5 Engbers, John 5 Hartinger, Jürgen 5 Li, Shuchao 5 Miller, Steven J. 5 Pakovich, Fedor 5 Paštéka, Milan 5 Saltan, Mustafa 5 Thäle, Christoph 5 Zhu, Zhongxun 4 Alkauskas, Giedrius 4 Alzer, Horst 4 Andriantiana, Eric Ould Dadah 4 Bibiloni, Lluís 4 Chen, Changhao 4 Doerr, Benjamin 4 Goldstern, Martin Robert 4 Golin, Mordecai J. 4 Haynes, Alan K. 4 Hickernell, Fred J. 4 Hofer, Markus 4 Hua, Hongbo 4 Iacò, Maria Rita 4 Jadrijević, Borka 4 Kabluchko, Zakhar A. 4 Kiss, Péter 4 Kolesnik, Grigoriĭ Abramovich 4 Kreso, Dijana 4 Malyshev, Dmitriĭ Sergeevich 4 Mance, Bill 4 Paradís, Jaume 4 Pink, István 4 Reitzner, Matthias 4 Rigo, Michel 4 Rudolf, Daniel 4 Schmid, Wolfgang Ch. 4 Sloan, Ian Hugh 4 Stipulanti, Manon 4 Takashima, Keizo 4 Taletskii, Dmitriy S. 4 Thonhauser, Stefan 4 Togbé, Alain 4 Turnwald, Gerhard 4 Ullrich, Mario 4 Viader, Pelegrí 4 Wasilkowski, Grzegorz W. 4 Włoch, Andrzej 3 Akiyama, Shigeki 3 Atajan, Talip ...and 998 more Authors all top 5 Cited in 263 Serials 63 Monatshefte für Mathematik 60 Journal of Number Theory 40 Journal of Complexity 28 Journal de Théorie des Nombres de Bordeaux 24 Discrete Applied Mathematics 24 Discrete Mathematics 24 Mathematics of Computation 20 Theoretical Computer Science 20 International Journal of Number Theory 17 Journal of Computational and Applied Mathematics 17 Indagationes Mathematicae. 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