Edit Profile (opens in new tab) Thuswaldner, Jörg Maximilian Compute Distance To: Compute Author ID: thuswaldner.jorg-maximilian Published as: Thuswaldner, Jörg M.; Thuswaldner, Jörg; Thuswaldner, J. M.; Thuswaldner, Jörg Maximilian; Thuswaldner, J. more...less External Links: ORCID Documents Indexed: 94 Publications since 1996 1 Contribution as Editor Co-Authors: 60 Co-Authors with 82 Joint Publications 1,114 Co-Co-Authors all top 5 Co-Authors 12 single-authored 15 Akiyama, Shigeki 11 Pethő, Attila 10 Brunotte, Horst 8 Kirschenhofer, Peter 8 Scheicher, Klaus 8 Steiner, Wolfgang 7 Berthé, Valérie 7 Loridant, Benoit 6 Luo, Jun 5 Surer, Paul 5 Tichy, Robert Franz 4 Grabner, Peter J. 4 Madritsch, Manfred G. 3 Borbély, Tibor 3 Siegel, Anne 2 Barat, Guy 2 Dorfer, Gerhard 2 Gittenberger, Bernhard 2 Minervino, Milton 2 Mkaouar, Mohamed 2 Pfeiffer, Oliver 2 Rossi, Lucia 2 Winkler, Reinhard 2 Zaïmi, Toufik Mostepha 2 Ziegler, Volker 1 Amri, Myriam 1 Arnoux, Pierre 1 Beck, Tobias 1 Bernat, Julien 1 Conner, Gregory R. 1 Deng, Yulong 1 Derfel, Gregory 1 Evertse, Jan-Hendrik 1 Gmainer, Johannes 1 Győry, Kálmán 1 Heuberger, Clemens 1 Hu, Caihong 1 Huszti, Andrea 1 Jankauskas, Jonas 1 Krenn, Daniel 1 Lamberger, Mario 1 Langeveld, Niels Daniël Simon 1 Liardet, Pierre 1 Long, Shunchao 1 Loquias, Manuel Joseph C. 1 Morgenbesser, Johannes F. 1 Müller, Wolfgang 1 Okazaki, Ryotaro 1 Ouled Azaiez, Najib 1 Prodinger, Helmut 1 Sellami, Tarek 1 Sirvent, Víctor F. 1 Spiegelhofer, Lukas 1 Tang, Taiman 1 van de Woestijne, Christiaan E. 1 Vogl, Fritz 1 Weitzer, Mario 1 Xi, Lifeng 1 Yassawi, Reem 1 Zhang, Shuqin all top 5 Serials 6 Journal of Number Theory 5 Indagationes Mathematicae. New Series 5 Journal de Théorie des Nombres de Bordeaux 4 Annales de l’Institut Fourier 4 Monatshefte für Mathematik 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Geometriae Dedicata 3 Topology and its Applications 3 Acta Mathematica Hungarica 3 Finite Fields and their Applications 3 International Journal of Number Theory 2 Periodica Mathematica Hungarica 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Acta Arithmetica 2 Advances in Mathematics 2 Mathematica Slovaca 2 Osaka Journal of Mathematics 2 Publicationes Mathematicae Debrecen 2 Transactions of the American Mathematical Society 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Mathematics of Computation 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Functiones et Approximatio. Commentarii Mathematici 1 Fundamenta Mathematicae 1 Mathematika 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Theoretical Computer Science 1 Ergodic Theory and Dynamical Systems 1 Journal of Symbolic Computation 1 Aequationes Mathematicae 1 Linear Algebra and its Applications 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Grazer Mathematische Berichte 1 Topology Proceedings 1 Fractals 1 Methods and Applications of Analysis 1 Journal of Difference Equations and Applications 1 The Journal of Fourier Analysis and Applications 1 The Ramanujan Journal 1 Acta Mathematica Academiae Paedagogicae Nyíregyháziensis. New Series 1 Integers 1 RIMS Kôkyûroku Bessatsu 1 ACM Transactions on Algorithms 1 Journal of Fractal Geometry all top 5 Fields 75 Number theory (11-XX) 29 Measure and integration (28-XX) 26 Dynamical systems and ergodic theory (37-XX) 16 Convex and discrete geometry (52-XX) 11 Combinatorics (05-XX) 9 General topology (54-XX) 9 Computer science (68-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 82 Publications have been cited 601 times in 299 Documents Cited by ▼ Year ▼ Generalized radix representations and dynamical systems. I. Zbl 1110.11003Akiyama, S.; Borbély, T.; Brunotte, H.; Pethő, A.; Thuswaldner, J. M. 36 2005 A survey on topological properties of tiles related to number systems. Zbl 1073.37017Akiyama, Shigeki; Thuswaldner, Jörg M. 33 2004 Dynamical directions in numeration. Zbl 1138.37005Barat, Guy; Berthé, Valérie; Liardet, Pierre; Thuswaldner, Jörg 31 2006 Topological properties of Rauzy fractals. Zbl 1229.28021Siegel, Anne; Thuswaldner, Jörg M. 28 2009 Generalized radix representations and dynamical systems. II. Zbl 1142.11055Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M. 22 2006 Canonical number systems, counting automata and fractals. Zbl 1001.68070Scheicher, Klaus; Thuswaldner, Jörg M. 22 2002 The topological structure of fractal tilings generated by quadratic number systems. Zbl 1123.11004Akiyama, Shigeki; Thuswaldner, J. M. 21 2005 Unimodular Pisot substitutions and their associated tiles. Zbl 1161.37016Thuswaldner, Jörg M. 16 2006 Substitutions, Rauzy fractals and tilings. Zbl 1247.37015Berthé, Valérie; Siegel, Anne; Thuswaldner, Jörg 15 2010 Topological properties of two-dimensional number systems. Zbl 1012.11072Akiyama, Shigeki; Thuswaldner, Jörg M. 15 2000 Neighbours of self-affine tiles in lattice tilings. Zbl 1040.52013Scheicher, Klaus; Thuswaldner, Jörg M. 15 2003 On the fundamental group of the Sierpiński-gasket. Zbl 1182.57001Akiyama, S.; Dorfer, G.; Thuswaldner, J. M.; Winkler, R. 14 2009 On the boundary connectedness of connected tiles. Zbl 1070.37010Luo, Jun; Akiyama, Shigeki; Thuswaldner, Jörg M. 14 2004 Digit systems in polynomial rings over finite fields. Zbl 1031.11003Scheicher, Klaus; Thuswaldner, Jörg M. 13 2003 Self-affine manifolds. Zbl 1350.28009Conner, Gregory R.; Thuswaldner, Jörg M. 12 2016 On the characterization of canonical number systems. Zbl 1161.11305Scheicher, Klaus; Thuswaldner, Jörg M. 12 2004 Recognizability for sequences of morphisms. Zbl 1476.37022Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.; Yassawi, Reem 12 2019 Normality of numbers generated by the values of entire functions. Zbl 1213.11151Madritsch, Manfred G.; Thuswaldner, Jörg M.; Tichy, Robert F. 11 2008 Fractal properties of number systems. Zbl 0980.11007Müller, Wolfgang; Thuswaldner, Jörg M.; Tichy, Robert F. 11 2001 Geometry, dynamics, and arithmetic of \(S\)-adic shifts. (Géométrie, dynamique, et arithmétique des décalages \(S\)-adiques.) Zbl 1433.37010Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M. 10 2019 Fractal tiles associated with shift radix systems. Zbl 1221.11018Berthé, Valérie; Siegel, Anne; Steiner, Wolfgang; Surer, Paul; Thuswaldner, Jörg M. 9 2011 The geometry of non-unit Pisot substitutions. (Géométrie des substitutions de type Pisot non unimodulaires.) Zbl 1309.05045Minervino, Milton; Thuswaldner, Jörg 9 2014 On the digits of shifted primes. (Sur les chiffres des nombres premiers translatés.) Zbl 1353.11012Ouled Azaiez, Najib; Mkaouar, Mohamed; Thuswaldner, Jörg M. 8 2014 Analysis of linear combination algorithms in cryptography. Zbl 1321.68514Grabner, Peter J.; Heuberger, Clemens; Prodinger, Helmut; Thuswaldner, Jörg M. 8 2005 Attractors for invertible expanding linear operators and number systems in \(\mathbb Z^2\). Zbl 1012.11009Thuswaldner, Jörg M. 8 2001 On the sum of digits functions for number systems with negative bases. Zbl 0987.11007Grabner, Peter J.; Thuswaldner, Jörg M. 8 2000 Digit systems over commutative rings. Zbl 1318.11008Scheicher, Klaus; Surer, Paul; Thuswaldner, Jörg M.; Van de Woestijne, Christiaan E. 7 2014 Shift radix systems – a survey. Zbl 1352.11014Kirschenhofer, Peter; Thuswaldner, Jörg M. 7 2014 Waring’s problem with digital restrictions. Zbl 1132.11050Thuswaldner, Jörg M.; Tichy, Robert F. 7 2005 Number systems and tilings over Laurent series. Zbl 1194.11021Beck, Tobias; Brunotte, Horst; Scheicher, Klaus; Thuswaldner, Jörg M. 7 2009 Fundamental groups of one-dimensional spaces. Zbl 1312.55013Dorfer, Gerhard; Thuswaldner, Jörg M.; Winkler, Reinhard 6 2013 Asymptotic normality of \(b\)-additive functions on polynomial sequences in the Gaussian number field. Zbl 0989.11040Gittenberger, Bernhard; Thuswaldner, Jörg M. 6 2000 Distribution properties of digital expansions arising from linear recurrences. Zbl 1048.11066Lamberger, Mario; Thuswaldner, Jörg M. 6 2003 Tilings induced by a class of cubic Rauzy fractals. Zbl 1271.37014Loridant, B.; Messaoudi, A.; Surer, P.; Thuswaldner, J. M. 6 2013 The moments of the sum-of-digits function in number fields. Zbl 1011.11009Gittenberger, Bernhard; Thuswaldner, Jörg M. 6 1999 On a generalization of the radix representation – a survey. Zbl 1135.11007Akiyama, S.; Borbély, T.; Brunotte, H.; Pethő, A.; Thuswaldner, J. M. 5 2004 On the fundamental group of self-affine plane tiles. Zbl 1119.52012Luo, Jun; Thuswaldner, Jörg M. 5 2006 Three-dimensional symmetric shift radix systems. Zbl 1143.11006Huszti, Andrea; Scheicher, Klaus; Surer, Paul; Thuswaldner, Jörg M. 5 2007 Rational self-affine tiles. Zbl 1329.52019Steiner, Wolfgang; Thuswaldner, Jörg M. 5 2015 Topology of crystallographic tiles. Zbl 1135.52008Loridant, Benoit; Luo, Jun; Thuswaldner, Jörg M. 5 2007 Generalized radix representations and dynamical systems. III. Zbl 1217.11007Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M. 5 2008 Generalized radix representations and dynamical systems. IV. Zbl 1190.11041Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M. 5 2008 Weyl sums in \(\mathbb F_q[x]\) with digital restrictions. Zbl 1176.11066Madritsch, Manfred G.; Thuswaldner, Jörg M. 4 2008 Finite and periodic orbits of shift radix systems. Zbl 1223.11012Kirschenhofer, Peter; Pethő, Attila; Surer, Paul; Thuswaldner, Jörg 4 2010 Characterisation of the numbers which satisfy the height reducing property. Zbl 1308.11096Akiyama, Shigeki; Thuswaldner, Jörg M.; Zaïmi, Toufik 4 2015 Comments on the height reducing property. II. Zbl 1308.11097Akiyama, Shigeki; Thuswaldner, Jörg M.; Zaïmi, Toufik 4 2015 The sum of digits function in number fields. Zbl 0921.11051Thuswaldner, Jörg M. 4 1998 On the second Lyapunov exponent of some multidimensional continued fraction algorithms. Zbl 1473.11012Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M. 4 2021 The sum of digits function in number fields: distribution in residue classes. Zbl 0932.11068Thuswaldner, Jörg M. 4 1999 Summatory functions of digital sums occurring in cryptography. Zbl 0936.11009Thuswaldner, Jörg M. 4 1999 The \(S\)-adic Pisot conjecture on two letters. Zbl 1368.37020Berthé, Valérie; Minervino, Milton; Steiner, Wolfgang; Thuswaldner, Jörg 3 2016 Interior components of a tile associated to a quadratic canonical number system. II. Zbl 1207.11017Bernat, Julien; Loridant, Benoît; Thuswaldner, Jörg 3 2010 A new criterion for disk-like crystallographic reptiles. Zbl 1404.28013Loridant, Benoît; Luo, Jun; Thuswaldner, Jörg M. 3 2007 \(S\)-adic sequences: a bridge between dynamics, arithmetic, and geometry. Zbl 1457.37014Thuswaldner, Jörg M. 3 2020 Number systems over orders. Zbl 1437.11014Pethő, Attila; Thuswaldner, Jörg 3 2018 On linear combinations of units with bounded coefficients. Zbl 1235.11100Thuswaldner, Jörg; Ziegler, Volker 3 2011 Interior components of a tile associated to a quadratic canonical number system. Zbl 1148.28009Loridant, Benoit; Thuswaldner, Jörg M. 3 2008 On a family of three term nonlinear integer recurrences. Zbl 1230.11014Kirschenhofer, P.; Pethö, A.; Thuswaldner, J. M. 3 2008 Fractal dimension of sets induced by bases of imaginary quadratic fields. Zbl 0956.11022Thuswaldner, Jörg M. 3 1998 Fractals and number systems in real quadratic number fields. Zbl 0980.11050Thuswaldner, J. M. 3 2001 An Erdős-Kac theorem for systems of \(q\)-additive functions. Zbl 0988.11037Thuswaldner, Jörg M.; Tichy, Robert F. 3 2000 Analytic continuation of a class of Dirichlet series. Zbl 0879.11047Grabner, P. J.; Thuswaldner, J. M. 2 1996 Patterns in rational base number systems. Zbl 1320.11006Morgenbesser, Johannes F.; Steiner, Wolfgang; Thuswaldner, Jörg M. 2 2013 Similar dissection of sets. Zbl 1226.52006Akiyama, Shigeki; Luo, Jun; Okazaki, Ryotaro; Steiner, Wolfgang; Thuswaldner, Jörg 2 2011 Contractivity of three-dimensional shift radix systems with finiteness property. Zbl 1303.11019Brunotte, Horst; Kirschenhofer, Peter; Thuswaldner, Jörg M. 2 2012 Waring’s problem restricted by a system of sum of digits congruences. Zbl 1132.11360Pfeiffer, Oliver; Thuswaldner, Jörg M. 2 2007 Characterization of rational matrices that admit finite digit representations. Zbl 1441.11017Jankauskas, J.; Thuswaldner, J. M. 2 2018 The complex sum of digits function and primes. Zbl 1012.11071Thuswaldner, Jörg M. 2 2000 On disk-like self-affine tiles arising from polyominoes. Zbl 1140.28300Gmainer, Johannes; Thuswaldner, Jörg M. 2 2006 Number systems over general orders. Zbl 1437.11012Evertse, J. H.; Győry, K.; Pethő, A.; Thuswaldner, J. M. 2 2019 Discrepancy bounds for \(\boldsymbol{\beta}\)-adic Halton sequences. Zbl 1431.11098Thuswaldner, Jörg M. 1 2017 On linear combinations of units with bounded coefficients and double-base digit expansions. Zbl 1325.11119Krenn, Daniel; Thuswaldner, Jörg; Ziegler, Volker 1 2013 On cut sets of attractors of iterated function systems. Zbl 1355.28017Loridant, Benoît; Luo, Jun; Sellami, Tarek; Thuswaldner, Jörg M. 1 2016 On the Fibonacci-Mandelbrot set. Zbl 1317.37053Sirvent, Víctor F.; Thuswaldner, Jörg M. 1 2015 Salem numbers from a class of star-like trees. Zbl 1325.11075Brunotte, Horst; Thuswaldner, Jörg M. 1 2015 Distribution results on polynomials with bounded roots. Zbl 1403.05009Kirschenhofer, Peter; Thuswaldner, Jörg 1 2018 Topology of planar self-affine tiles with collinear digit set. Zbl 1470.28005Akiyama, Shigeki; Loridant, Benoît; Thuswaldner, Jörg 1 2021 On self-affine tiles whose boundary is a sphere. Zbl 1447.28011Thuswaldner, Jörg; Zhang, Shu-Qin 1 2020 On a variant of the Kakeya problem in \(\mathbb{R}\). Zbl 1281.28003Deng, Yu-long; Hu, Caihong; Long, Shunchao; Tang, Tai-Man; Thuswaldner, Jörg; Xi, Lifeng 1 2013 Shift radix systems for Gaussian integers and Pethő’s Loudspeaker. Zbl 1249.11013Brunotte, Horst; Kirschenhofer, Peter; Thuswaldner, Jörg M. 1 2011 The fundamental lemma of Kubilius and the model of Kubilius in number fields. Zbl 0914.11051Thuswaldner, Jörg M. 1 1998 Additive functions for number systems in function fields. Zbl 1203.11011Madritsch, Manfred G.; Thuswaldner, Jörg M. 1 2010 On the second Lyapunov exponent of some multidimensional continued fraction algorithms. Zbl 1473.11012Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M. 4 2021 Topology of planar self-affine tiles with collinear digit set. Zbl 1470.28005Akiyama, Shigeki; Loridant, Benoît; Thuswaldner, Jörg 1 2021 \(S\)-adic sequences: a bridge between dynamics, arithmetic, and geometry. Zbl 1457.37014Thuswaldner, Jörg M. 3 2020 On self-affine tiles whose boundary is a sphere. Zbl 1447.28011Thuswaldner, Jörg; Zhang, Shu-Qin 1 2020 Recognizability for sequences of morphisms. Zbl 1476.37022Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.; Yassawi, Reem 12 2019 Geometry, dynamics, and arithmetic of \(S\)-adic shifts. (Géométrie, dynamique, et arithmétique des décalages \(S\)-adiques.) Zbl 1433.37010Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M. 10 2019 Number systems over general orders. Zbl 1437.11012Evertse, J. H.; Győry, K.; Pethő, A.; Thuswaldner, J. M. 2 2019 Number systems over orders. Zbl 1437.11014Pethő, Attila; Thuswaldner, Jörg 3 2018 Characterization of rational matrices that admit finite digit representations. Zbl 1441.11017Jankauskas, J.; Thuswaldner, J. M. 2 2018 Distribution results on polynomials with bounded roots. Zbl 1403.05009Kirschenhofer, Peter; Thuswaldner, Jörg 1 2018 Discrepancy bounds for \(\boldsymbol{\beta}\)-adic Halton sequences. Zbl 1431.11098Thuswaldner, Jörg M. 1 2017 Self-affine manifolds. Zbl 1350.28009Conner, Gregory R.; Thuswaldner, Jörg M. 12 2016 The \(S\)-adic Pisot conjecture on two letters. Zbl 1368.37020Berthé, Valérie; Minervino, Milton; Steiner, Wolfgang; Thuswaldner, Jörg 3 2016 On cut sets of attractors of iterated function systems. Zbl 1355.28017Loridant, Benoît; Luo, Jun; Sellami, Tarek; Thuswaldner, Jörg M. 1 2016 Rational self-affine tiles. Zbl 1329.52019Steiner, Wolfgang; Thuswaldner, Jörg M. 5 2015 Characterisation of the numbers which satisfy the height reducing property. Zbl 1308.11096Akiyama, Shigeki; Thuswaldner, Jörg M.; Zaïmi, Toufik 4 2015 Comments on the height reducing property. II. Zbl 1308.11097Akiyama, Shigeki; Thuswaldner, Jörg M.; Zaïmi, Toufik 4 2015 On the Fibonacci-Mandelbrot set. Zbl 1317.37053Sirvent, Víctor F.; Thuswaldner, Jörg M. 1 2015 Salem numbers from a class of star-like trees. Zbl 1325.11075Brunotte, Horst; Thuswaldner, Jörg M. 1 2015 The geometry of non-unit Pisot substitutions. (Géométrie des substitutions de type Pisot non unimodulaires.) Zbl 1309.05045Minervino, Milton; Thuswaldner, Jörg 9 2014 On the digits of shifted primes. (Sur les chiffres des nombres premiers translatés.) Zbl 1353.11012Ouled Azaiez, Najib; Mkaouar, Mohamed; Thuswaldner, Jörg M. 8 2014 Digit systems over commutative rings. Zbl 1318.11008Scheicher, Klaus; Surer, Paul; Thuswaldner, Jörg M.; Van de Woestijne, Christiaan E. 7 2014 Shift radix systems – a survey. Zbl 1352.11014Kirschenhofer, Peter; Thuswaldner, Jörg M. 7 2014 Fundamental groups of one-dimensional spaces. Zbl 1312.55013Dorfer, Gerhard; Thuswaldner, Jörg M.; Winkler, Reinhard 6 2013 Tilings induced by a class of cubic Rauzy fractals. Zbl 1271.37014Loridant, B.; Messaoudi, A.; Surer, P.; Thuswaldner, J. M. 6 2013 Patterns in rational base number systems. Zbl 1320.11006Morgenbesser, Johannes F.; Steiner, Wolfgang; Thuswaldner, Jörg M. 2 2013 On linear combinations of units with bounded coefficients and double-base digit expansions. Zbl 1325.11119Krenn, Daniel; Thuswaldner, Jörg; Ziegler, Volker 1 2013 On a variant of the Kakeya problem in \(\mathbb{R}\). Zbl 1281.28003Deng, Yu-long; Hu, Caihong; Long, Shunchao; Tang, Tai-Man; Thuswaldner, Jörg; Xi, Lifeng 1 2013 Contractivity of three-dimensional shift radix systems with finiteness property. Zbl 1303.11019Brunotte, Horst; Kirschenhofer, Peter; Thuswaldner, Jörg M. 2 2012 Fractal tiles associated with shift radix systems. Zbl 1221.11018Berthé, Valérie; Siegel, Anne; Steiner, Wolfgang; Surer, Paul; Thuswaldner, Jörg M. 9 2011 On linear combinations of units with bounded coefficients. Zbl 1235.11100Thuswaldner, Jörg; Ziegler, Volker 3 2011 Similar dissection of sets. Zbl 1226.52006Akiyama, Shigeki; Luo, Jun; Okazaki, Ryotaro; Steiner, Wolfgang; Thuswaldner, Jörg 2 2011 Shift radix systems for Gaussian integers and Pethő’s Loudspeaker. Zbl 1249.11013Brunotte, Horst; Kirschenhofer, Peter; Thuswaldner, Jörg M. 1 2011 Substitutions, Rauzy fractals and tilings. Zbl 1247.37015Berthé, Valérie; Siegel, Anne; Thuswaldner, Jörg 15 2010 Finite and periodic orbits of shift radix systems. Zbl 1223.11012Kirschenhofer, Peter; Pethő, Attila; Surer, Paul; Thuswaldner, Jörg 4 2010 Interior components of a tile associated to a quadratic canonical number system. II. Zbl 1207.11017Bernat, Julien; Loridant, Benoît; Thuswaldner, Jörg 3 2010 Additive functions for number systems in function fields. Zbl 1203.11011Madritsch, Manfred G.; Thuswaldner, Jörg M. 1 2010 Topological properties of Rauzy fractals. Zbl 1229.28021Siegel, Anne; Thuswaldner, Jörg M. 28 2009 On the fundamental group of the Sierpiński-gasket. Zbl 1182.57001Akiyama, S.; Dorfer, G.; Thuswaldner, J. M.; Winkler, R. 14 2009 Number systems and tilings over Laurent series. Zbl 1194.11021Beck, Tobias; Brunotte, Horst; Scheicher, Klaus; Thuswaldner, Jörg M. 7 2009 Normality of numbers generated by the values of entire functions. Zbl 1213.11151Madritsch, Manfred G.; Thuswaldner, Jörg M.; Tichy, Robert F. 11 2008 Generalized radix representations and dynamical systems. III. Zbl 1217.11007Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M. 5 2008 Generalized radix representations and dynamical systems. IV. Zbl 1190.11041Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M. 5 2008 Weyl sums in \(\mathbb F_q[x]\) with digital restrictions. Zbl 1176.11066Madritsch, Manfred G.; Thuswaldner, Jörg M. 4 2008 Interior components of a tile associated to a quadratic canonical number system. Zbl 1148.28009Loridant, Benoit; Thuswaldner, Jörg M. 3 2008 On a family of three term nonlinear integer recurrences. Zbl 1230.11014Kirschenhofer, P.; Pethö, A.; Thuswaldner, J. M. 3 2008 Three-dimensional symmetric shift radix systems. Zbl 1143.11006Huszti, Andrea; Scheicher, Klaus; Surer, Paul; Thuswaldner, Jörg M. 5 2007 Topology of crystallographic tiles. Zbl 1135.52008Loridant, Benoit; Luo, Jun; Thuswaldner, Jörg M. 5 2007 A new criterion for disk-like crystallographic reptiles. Zbl 1404.28013Loridant, Benoît; Luo, Jun; Thuswaldner, Jörg M. 3 2007 Waring’s problem restricted by a system of sum of digits congruences. Zbl 1132.11360Pfeiffer, Oliver; Thuswaldner, Jörg M. 2 2007 Dynamical directions in numeration. Zbl 1138.37005Barat, Guy; Berthé, Valérie; Liardet, Pierre; Thuswaldner, Jörg 31 2006 Generalized radix representations and dynamical systems. II. Zbl 1142.11055Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M. 22 2006 Unimodular Pisot substitutions and their associated tiles. Zbl 1161.37016Thuswaldner, Jörg M. 16 2006 On the fundamental group of self-affine plane tiles. Zbl 1119.52012Luo, Jun; Thuswaldner, Jörg M. 5 2006 On disk-like self-affine tiles arising from polyominoes. Zbl 1140.28300Gmainer, Johannes; Thuswaldner, Jörg M. 2 2006 Generalized radix representations and dynamical systems. I. Zbl 1110.11003Akiyama, S.; Borbély, T.; Brunotte, H.; Pethő, A.; Thuswaldner, J. M. 36 2005 The topological structure of fractal tilings generated by quadratic number systems. Zbl 1123.11004Akiyama, Shigeki; Thuswaldner, J. M. 21 2005 Analysis of linear combination algorithms in cryptography. Zbl 1321.68514Grabner, Peter J.; Heuberger, Clemens; Prodinger, Helmut; Thuswaldner, Jörg M. 8 2005 Waring’s problem with digital restrictions. Zbl 1132.11050Thuswaldner, Jörg M.; Tichy, Robert F. 7 2005 A survey on topological properties of tiles related to number systems. Zbl 1073.37017Akiyama, Shigeki; Thuswaldner, Jörg M. 33 2004 On the boundary connectedness of connected tiles. Zbl 1070.37010Luo, Jun; Akiyama, Shigeki; Thuswaldner, Jörg M. 14 2004 On the characterization of canonical number systems. Zbl 1161.11305Scheicher, Klaus; Thuswaldner, Jörg M. 12 2004 On a generalization of the radix representation – a survey. Zbl 1135.11007Akiyama, S.; Borbély, T.; Brunotte, H.; Pethő, A.; Thuswaldner, J. M. 5 2004 Neighbours of self-affine tiles in lattice tilings. Zbl 1040.52013Scheicher, Klaus; Thuswaldner, Jörg M. 15 2003 Digit systems in polynomial rings over finite fields. Zbl 1031.11003Scheicher, Klaus; Thuswaldner, Jörg M. 13 2003 Distribution properties of digital expansions arising from linear recurrences. Zbl 1048.11066Lamberger, Mario; Thuswaldner, Jörg M. 6 2003 Canonical number systems, counting automata and fractals. Zbl 1001.68070Scheicher, Klaus; Thuswaldner, Jörg M. 22 2002 Fractal properties of number systems. Zbl 0980.11007Müller, Wolfgang; Thuswaldner, Jörg M.; Tichy, Robert F. 11 2001 Attractors for invertible expanding linear operators and number systems in \(\mathbb Z^2\). Zbl 1012.11009Thuswaldner, Jörg M. 8 2001 Fractals and number systems in real quadratic number fields. Zbl 0980.11050Thuswaldner, J. M. 3 2001 Topological properties of two-dimensional number systems. Zbl 1012.11072Akiyama, Shigeki; Thuswaldner, Jörg M. 15 2000 On the sum of digits functions for number systems with negative bases. Zbl 0987.11007Grabner, Peter J.; Thuswaldner, Jörg M. 8 2000 Asymptotic normality of \(b\)-additive functions on polynomial sequences in the Gaussian number field. Zbl 0989.11040Gittenberger, Bernhard; Thuswaldner, Jörg M. 6 2000 An Erdős-Kac theorem for systems of \(q\)-additive functions. Zbl 0988.11037Thuswaldner, Jörg M.; Tichy, Robert F. 3 2000 The complex sum of digits function and primes. Zbl 1012.11071Thuswaldner, Jörg M. 2 2000 The moments of the sum-of-digits function in number fields. Zbl 1011.11009Gittenberger, Bernhard; Thuswaldner, Jörg M. 6 1999 The sum of digits function in number fields: distribution in residue classes. Zbl 0932.11068Thuswaldner, Jörg M. 4 1999 Summatory functions of digital sums occurring in cryptography. Zbl 0936.11009Thuswaldner, Jörg M. 4 1999 The sum of digits function in number fields. Zbl 0921.11051Thuswaldner, Jörg M. 4 1998 Fractal dimension of sets induced by bases of imaginary quadratic fields. Zbl 0956.11022Thuswaldner, Jörg M. 3 1998 The fundamental lemma of Kubilius and the model of Kubilius in number fields. Zbl 0914.11051Thuswaldner, Jörg M. 1 1998 Analytic continuation of a class of Dirichlet series. Zbl 0879.11047Grabner, P. J.; Thuswaldner, J. M. 2 1996 all cited Publications top 5 cited Publications all top 5 Cited by 298 Authors 51 Thuswaldner, Jörg Maximilian 25 Akiyama, Shigeki 18 Madritsch, Manfred G. 15 Loridant, Benoit 14 Pethő, Attila 11 Scheicher, Klaus 10 Berthé, Valérie 10 Heuberger, Clemens 10 Luo, Jun 10 Sirvent, Víctor F. 10 Steiner, Wolfgang 10 Surer, Paul 7 Prodinger, Helmut 6 Brunotte, Horst 6 Lau, Kasing 6 Mkaouar, Mohamed 6 Ngai, Sze-Man 5 Miller, Steven J. 5 Rao, Hui 5 Sellami, Tarek 5 Ziegler, Volker 4 Aloui, Karam 4 Jankauskas, Jonas 4 Kirschenhofer, Peter 4 Kropf, Sara 4 Leung, King-Shun 4 Luo, Jun Jason 4 Minervino, Milton 4 Tichy, Robert Franz 4 Vávra, Tomáš 4 Vince, Andrew 4 Wagner, Stephan G. 3 Bandt, Christoph 3 Barat, Guy 3 Barnsley, Michael Fielding 3 Cassaigne, Julien 3 Conner, Gregory R. 3 Deng, Guotai 3 Drungilas, Paulius 3 Durand, Fabien 3 Kátai, Imre 3 Kirat, Ibrahim 3 Leroy, Julien 3 Liu, Chuntai 3 Mekhontsev, Dmitry 3 Morgenbesser, Johannes F. 3 Rigo, Michel 3 Siegel, Anne 3 Solomyak, Boris 3 van de Woestijne, Christiaan E. 3 Vivaldi, Franco 3 Wannes, Walid 3 Zaïmi, Toufik Mostepha 2 Arnoux, Pierre 2 Bernat, Julien 2 Bondarenko, Ievgen V. 2 Bufetov, Aleksandr Igorevich 2 Caalim, Jonathan V. 2 De Koninck, Jean-Marie 2 Deng, Qirong 2 Dubickas, Artūras 2 Espinoza, Bastián 2 Fischer, Hanspeter 2 Gohlke, Philipp 2 Grabner, Peter J. 2 Guido, Daniele 2 Hejda, Tomáš 2 Isola, Tommaso 2 Ito, Shunji 2 Jolivet, Timo 2 Kravchenko, Rostyslav V. 2 Krenn, Daniel 2 Lai, Chun-Kit 2 Liu, Jingcheng 2 Mance, Bill 2 Masáková, Zuzana 2 Mauduit, Christian 2 Messaoudi, Ali 2 Muir, James A. 2 Pelantová, Edita 2 Petite, Samuel 2 Sauvageot, Jean-Luc 2 Shiokawa, Iekata 2 Shutov, Anton V. 2 Šiurys, Jonas 2 Spiegelhofer, Lukas 2 Vandehey, Joseph 2 Wang, Lian 2 Wang, Shuailing 2 Weitzer, Mario 2 Zastrow, Andreas 2 Zhang, Shuqin 1 Abram, William C. 1 Adiceam, Faustin 1 Ahmad, Shahzad 1 Airey, Dylan 1 Alblowi, S. A. 1 Alwani, Fairuz 1 Ammar, Hamdi 1 Amri, Myriam ...and 198 more Authors all top 5 Cited in 105 Serials 19 Monatshefte für Mathematik 17 Journal of Number Theory 10 Transactions of the American Mathematical Society 10 Discrete & Computational Geometry 9 Journal of Mathematical Analysis and Applications 9 Indagationes Mathematicae. New Series 9 International Journal of Number Theory 8 Advances in Mathematics 8 Theoretical Computer Science 8 Journal de Théorie des Nombres de Bordeaux 8 Fractals 8 Finite Fields and their Applications 7 Annales de l’Institut Fourier 7 Ergodic Theory and Dynamical Systems 6 Geometriae Dedicata 6 Topology and its Applications 6 Acta Mathematica Hungarica 5 Osaka Journal of Mathematics 4 Mathematics of Computation 4 Proceedings of the American Mathematical Society 4 Discrete and Continuous Dynamical Systems 3 Israel Journal of Mathematics 3 Acta Arithmetica 3 European Journal of Combinatorics 3 The Electronic Journal of Combinatorics 3 The Ramanujan Journal 3 Journal of Fractal Geometry 2 Bulletin of the Australian Mathematical Society 2 Periodica Mathematica Hungarica 2 The Mathematical Intelligencer 2 Archiv der Mathematik 2 Bulletin de la Société Mathématique de France 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of Combinatorial Theory. Series A 2 Journal of Functional Analysis 2 Journal of the Mathematical Society of Japan 2 Mathematica Scandinavica 2 Mathematica Slovaca 2 Quaestiones Mathematicae 2 Advances in Applied Mathematics 2 Mathematical and Computer Modelling 2 SIAM Journal on Discrete Mathematics 2 Linear Algebra and its Applications 2 Experimental Mathematics 2 Journal of Mathematical Sciences (New York) 2 Journal of Difference Equations and Applications 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Science China. Mathematics 2 Research in Number Theory 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Computing 1 Fundamenta Mathematicae 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Mathematika 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Tokyo Journal of Mathematics 1 Tsukuba Journal of Mathematics 1 Bulletin of the Korean Mathematical Society 1 Combinatorica 1 Physica D 1 International Journal of Foundations of Computer Science 1 Designs, Codes and Cryptography 1 L’Enseignement Mathématique. 2e Série 1 Combinatorics, Probability and Computing 1 Sbornik: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Documenta Mathematica 1 Taiwanese Journal of Mathematics 1 Soft Computing 1 Chaos 1 Annales Henri Poincaré 1 Integers 1 Dynamical Systems 1 Central European Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Chebyshevskiĭ Sbornik 1 Journal of Mathematics and the Arts 1 Journal of Mathematical Cryptology 1 Journal of Modern Dynamics 1 Journal of Homotopy and Related Structures 1 Logical Methods in Computer Science 1 Uniform Distribution Theory 1 Acta Universitatis Sapientiae. Informatica 1 Probability Surveys 1 Journal of Spectral Theory 1 Bulletin of Mathematical Sciences 1 Moscow Journal of Combinatorics and Number Theory ...and 5 more Serials all top 5 Cited in 37 Fields 189 Number theory (11-XX) 91 Measure and integration (28-XX) 91 Dynamical systems and ergodic theory (37-XX) 65 Convex and discrete geometry (52-XX) 32 Computer science (68-XX) 27 Combinatorics (05-XX) 18 General topology (54-XX) 13 Group theory and generalizations (20-XX) 13 Probability theory and stochastic processes (60-XX) 10 Manifolds and cell complexes (57-XX) 9 Algebraic topology (55-XX) 8 Information and communication theory, circuits (94-XX) 7 Field theory and polynomials (12-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Geometry (51-XX) 5 Algebraic geometry (14-XX) 4 Mathematical logic and foundations (03-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Commutative algebra (13-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year