Chair of Mathematics, Statistics and Geometry (380)

Organisational unit: Chair

Research output

  1. 2011
  2. Published

    On linear combinations of units with bounded coefficients

    Thuswaldner, J. & Ziegler, V., 2011, In: Mathematika. 57, p. 247-262

    Research output: Contribution to journalArticleResearchpeer-review

  3. Published

    On the best constants in Markov-type inequalities involving Gegenbauer norms with different weights

    Böttcher, A. & Dörfler, P., 2011, In: Operators and matrices. 5, p. 261-272

    Research output: Contribution to journalArticleResearchpeer-review

  4. Published

    Shift radix systems for Gaussian integers and Pethoe's loudspeaker

    Brunotte, H., Kirschenhofer, P. & Thuswaldner, J., 2011, In: Publicationes mathematicae. 79, p. 341-356

    Research output: Contribution to journalArticleResearchpeer-review

  5. Published

    Similar dissection of sets

    Akiyama, S., Luo, J., Okazaki, R., Steiner, W. & Thuswaldner, J., 2011, In: Geometriae dedicata. 150, p. 233-247

    Research output: Contribution to journalArticleResearchpeer-review

  6. 2010
  7. Published

    Additive functions for number systems in function fields

    Madritsch, M. & Thuswaldner, J., 2010, In: Finite fields and their applications. 16, p. 204-229

    Research output: Contribution to journalArticleResearchpeer-review

  8. Published

    A hybrid result related to Waring´s Problem, squarefree numbers, and digital restrictions.

    Jancevskis, M., 2010, In: Mathematica Pannonica. 21, p. 37-58

    Research output: Contribution to journalArticleResearchpeer-review

  9. Published

    Arc-reduced forms for Peano continua

    Meilstrup, M. & Conner, M. H., 2010, In: Fundamenta mathematicae.

    Research output: Contribution to journalArticleResearchpeer-review

  10. Published

    A Sharkovsky theorem for nonlocally connected spaces

    Meilstrup, M., Conner, G. R. & Grant, C. P., 2010, In: Discrete and Continuous Dynamical Systems. A. 32, 10

    Research output: Contribution to journalArticleResearchpeer-review

  11. Published

    Beta-continued fractions over Laurent series

    Jellali, M., Mkaouar, M., Scheicher, K. & Thuswaldner, J., 2010, In: Publicationes mathematicae. 77, 3/4, p. 443-463

    Research output: Contribution to journalArticleResearchpeer-review

  12. Published

    Boundary parametrization of planar self-affine tiles with collinear digit set

    Akiyama, S. & Loridant, B., 2010, In: Science Chine mathematics. 53, 9, p. 2173-2194

    Research output: Contribution to journalArticleResearchpeer-review

  13. Published

    Deforestation of Peano continua and minimal deformation retracts

    Conner, G. R. & Meilstrup, M., 2010, In: Topology and its applications. 159, 15, p. 3253-3262

    Research output: Contribution to journalArticleResearchpeer-review

  14. Published

    Exact values for the Waring function

    Van De Woestijne, C. & Winterhof, A., 2010, In: Acta arithmetica. 141, p. 171-190

    Research output: Contribution to journalArticleResearchpeer-review

  15. Published

    Finite and periodic orbits of shift radix systems

    Kirschenhofer, P., Pethö, A., Surer, P. & Thuswaldner, J., 2010, In: Journal de théorie des nombres de Bordeaux. 22, p. 421-448

    Research output: Contribution to journalArticleResearchpeer-review

  16. Published

    Interior components of a tile associated to a quadratic canonical number system - Part II

    Bernat, J., Loridant, B. & Thuswaldner, J., 2010, In: Fractals. 18, p. 385-397

    Research output: Contribution to journalArticleResearchpeer-review

  17. Published

    Irregular discrepancy behavior of lacunary series

    Aistleitner, C., 2010, In: Monatshefte für Mathematik. 160, p. 1-29

    Research output: Contribution to journalArticleResearchpeer-review

  18. Published

    Irregular discrepancy behavior of lacunary series II.

    Aistleitner, C., 2010, In: Monatshefte für Mathematik. p. 255-270

    Research output: Contribution to journalArticleResearchpeer-review

  19. Published

    Metric discrepancy theory, functions of bounded variation and GCD sums.

    Aistleitner, C., 2010, In: Uniform distribution theory : UDT . 5, 1, p. 95-109

    Research output: Contribution to journalArticleResearchpeer-review

  20. Published

    On permutations of Hardy-Littlewood-Polya sequences

    Aistleitner, C., Berkes, I. & Tichy, R., 2010, In: Transactions of the American Mathematical Society.

    Research output: Contribution to journalArticleResearchpeer-review

  21. Published

    On the best constants in Markov-type inequalities involving Laguerre norms with different weights

    Böttcher, A. & Dörfler, P., 2010, In: Monatshefte für Mathematik. 161, p. 357-367

    Research output: Contribution to journalArticleResearchpeer-review

  22. Published

    On the central limit theorem for f(n_kx) f(nkx).

    Aistleitner, C., 2010, In: Probability theory and related fields. 146, p. 267-289

    Research output: Contribution to journalArticleResearchpeer-review

  23. Published

    On the class of limits of lacunary trigonometric series

    Aistleitner, C., 2010, In: Acta mathematica Hungarica. p. 1-23

    Research output: Contribution to journalArticleResearchpeer-review

  24. Published

    On the law of the iterated logarithm for the discrepancy of Lacunary sequenes

    Aistleitner, C., 2010, In: Transactions of the American Mathematical Society. 362, 11, p. 5967-5982

    Research output: Contribution to journalArticleResearchpeer-review

  25. Published

    Polydimensional modelling of dendritic growth and microsegregation in multicomponent alloys

    Michelic, S., Thuswaldner, J. & Bernhard, C., 2010, In: Acta materialia. 58, p. 2738-2751

    Research output: Contribution to journalArticleResearchpeer-review

  26. Published

    Probability and metric discrepancy theory

    Aistleitner, C. & Berkes, I., 2010, Proceedings of the Workshop on limit theorems.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  27. Published

    Substitutions, Rauzy fractals, and tilings

    Berthé, V., Siegel, A. & Thuswaldner, J., 2010, Combinatorics, Automata, and Number Theory. p. 248-323

    Research output: Chapter in Book/Report/Conference proceedingChapterResearch

  28. Published

    The law of the iterated logarithm for c_k f(n_k x)

    Aistleitner, C., 2010, Proceedings of the Conference on Dependence in Probability, Analysis and Number Theory. Conference in Memory of Walter Philipp.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  29. Published

    Topological properties of Rauzy fractals

    Siegel, A. & Thuswaldner, J., 2010

    Research output: Book/ReportBookResearch

  30. Published

    Weighted Markov-type inequalities, norms of Volterra operators, and zeros of Bessel functions

    Böttcher, A. & Dörfler, P., 2010, In: Mathematische Nachrichten. 283, p. 40-57

    Research output: Contribution to journalArticleResearchpeer-review

  31. 2009
  32. Published

    Generalized radix representations and dynamical systems IV

    Akiyama, S., Brunotte, H., Pethö, A. & Thuswaldner, J., 2009, In: Indagationes Mathematicae. 19, p. 333-348

    Research output: Contribution to journalArticleResearchpeer-review

  33. Published

    Number systems and tilings over Laurent series

    Beck, T., Brunotte, H., Scheicher, K. & Thuswaldner, J., 2009, In: Mathematical proceedings of the Cambridge Philosophical Society. 147, p. 9-29

    Research output: Contribution to journalArticleResearchpeer-review

  34. Published

    On the best constants in inequalities of the Markov and Wirtinger types for polynomials on the half-line

    Böttcher, A. & Dörfler, P., 2009, In: Linear algebra and its applications. 430, p. 1057-1069

    Research output: Contribution to journalArticleResearchpeer-review

  35. Published

    On the fundamental group of the Sierpinski-gasket

    Akiyama, S., Dorfer, G., Thuswaldner, J. & Winkler, R., 2009, In: Topology and its applications. 156, p. 1655-1672

    Research output: Contribution to journalArticleResearchpeer-review

  36. Published

    The structure of abelian groups supporting a number system

    Van De Woestijne, C., 2009, Numération : mathématiques et informatique. p. 75-79

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  37. 2008
  38. Published

    A new criterion for disk-like crystallographic reptiles

    Loridant, B., Luo, J. & Thuswaldner, J., 2008, Topology proceedings. Vol. 31 [2007]. p. 593-610 (Topology proceedings / Mathematics Department, Auburn University).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  39. Published

    A note on two theorems of C. Dong and J. Wang concerning combinatorial identities

    Kräuter, A. R., 2008, In: Modern applied science. 2, p. 50-52

    Research output: Contribution to journalArticleResearchpeer-review

  40. Published

    Fundamental group of tiles associated to quadratic canonical number systems

    Loridant, B., 2008, In: Mathematica Slovaca. 58, p. 241-251

    Research output: Contribution to journalArticleResearchpeer-review

  41. Published

    Generalized radix representations and dynamical systems III

    Akiyama, S., Brunotte, H., Pethö, A. & Thuswaldner, J., 2008, In: Osaka journal of mathematics. 45, p. 347-374

    Research output: Contribution to journalArticleResearchpeer-review

  42. Published

    Generating normal numbers over Gaussian integers

    Madritsch, M., 2008, In: Acta arithmetica. 135, p. 63-90

    Research output: Contribution to journalArticleResearchpeer-review

  43. Published

    Interior components of a tile associated to a quadratic canonical number system

    Loridant, B. & Thuswaldner, J., 2008, In: Topology and its applications. 155, p. 667-695

    Research output: Contribution to journalArticleResearchpeer-review

  44. Published

    Noncanonical number systems in the integers

    Van De Woestijne, C., 2008, In: Journal of number theory. 128, p. 2914-2938

    Research output: Contribution to journalArticleResearchpeer-review

  45. Published

    Normality of numbers generated by the values of entire functions

    Madritsch, M., Thuswaldner, J. & Tichy, R., 2008, In: Journal of number theory. 128, p. 1127-1145

    Research output: Contribution to journalArticleResearchpeer-review

  46. Published

    Number systems, tilings and seminumerical algorithms

    Surer, P., 2008, 105 p.

    Research output: ThesisDoctoral Thesis

  47. Published

    On a family of three term nonlinear integer recurrences

    Kirschenhofer, P., Pethö, A. & Thuswaldner, J., 2008, In: International journal of number theory. 4, p. 135-146

    Research output: Contribution to journalArticleResearchpeer-review

  48. Published

    On a theorem of Bandt and Wang and its extension to p2-tiles

    Loridant, B. & Luo, J., 2008, In: Discrete and computational geometry.

    Research output: Contribution to journalArticleResearchpeer-review

  49. Published

    On disk-like self-affine tiles arising from polyominoes

    Gmainer, J. & Thuswaldner, J., 2008, In: Methods and applications of analysis. [2006] 13, p. 351-372

    Research output: Contribution to journalArticleResearchpeer-review

  50. Published

    Weyl sums in F_q[X] with digital restrictions

    Madritsch, M. & Thuswaldner, J., 2008, In: Finite fields and their applications. 14, p. 219-227

    Research output: Contribution to journalArticleResearchpeer-review

  51. 2007
  52. Published

    A note on normal numbers in matrix number systems

    Madritsch, M., 2007, In: Mathematica Pannonica. 18, p. 219-227

    Research output: Contribution to journalArticleResearchpeer-review

  53. Published

    Characterisation results for shift radix systems

    Surer, P., 2007, In: Mathematica Pannonica. 18, p. 265-297

    Research output: Contribution to journalArticleResearchpeer-review

  54. Published
  55. Published

    Franz Josef Schnitzer 1928 - 2006

    Kräuter, A. R., 2007, In: Mathematica Pannonica. 18, p. 3-9

    Research output: Contribution to journalArticleResearchpeer-review

  56. Published
  57. Published

    On a class of recursive-based binomial coefficient identities involving Harmonic numbers

    Kirschenhofer, P. & Larcombe, P. J., 2007, In: Utilitas mathematica. 73, p. 105-115

    Research output: Contribution to journalArticleResearchpeer-review

  58. Published

    On a parametrized family of relative Thue equations

    Kirschenhofer, P., Lampl, C. & Thuswaldner, J., 2007, In: Publicationes mathematicae. 71, p. 101-139

    Research output: Contribution to journalArticleResearchpeer-review

  59. Published

    The Casas-Alvero Conjecture for Infinitely Many Degrees

    Van De Woestijne, C., Graf v. Bothmer, H.-C., Schicho, J. & Labs, O., 2007, In: Journal of algebra. 316, p. 224-230

    Research output: Contribution to journalArticleResearchpeer-review

  60. Published

    Three-dimensional symmetric shift radix systems

    Huszti, A., Scheicher, K., Surer, P. & Thuswaldner, J., 2007, In: Acta arithmetica. 129, p. 147-166

    Research output: Contribution to journalArticleResearchpeer-review

  61. Published

    Topological properties of tiles

    Loridant, B., 2007, 129 p.

    Research output: ThesisDoctoral Thesis

  62. Published

    Topology of crystallographic tiles

    Loridant, B., Luo, J. & Thuswaldner, J., 2007, In: Geometriae dedicata. 128, p. 113-144

    Research output: Contribution to journalArticleResearchpeer-review

  63. Published

    Waring's Problem restricted by a system of sum of digits congruences

    Pfeiffer, O. D. & Thuswaldner, J., 2007, In: Quaestiones Mathematicae. 30, p. 513-523

    Research output: Contribution to journalArticleResearchpeer-review

  64. 2006
  65. Published

    Basic properties of shift radix systems

    Akiyama, S., Borbély, T., Brunotte, H., Pethö, A. & Thuswaldner, J., 2006, In: Acta mathematica Academiae Paedagogicae Nyíregyháziensis. 22, p. 19-25

    Research output: Contribution to journalArticleResearchpeer-review

  66. Published

    Construction of Rational Points on Elliptic Curves over Finite Fields

    Van De Woestijne, C. & Shallue, A., 2006, Algorithmic Number Theory. p. 510-524

    Research output: Chapter in Book/Report/Conference proceedingChapterResearch

  67. Published

    Dynamical directions in numeration

    Barat, G., Berthé, V., Liardet, P. & Thuswaldner, J., 2006, In: Annales de l'Institut Fourier. 56, p. 1987-2092

    Research output: Contribution to journalArticleResearchpeer-review

  68. Published

    Generalized radix representations and dynamical systems II

    Akiyama, S., Brunotte, H., Pethö, A. & Thuswaldner, J., 2006, In: Acta arithmetica. 121, p. 21-61

    Research output: Contribution to journalArticleResearchpeer-review

  69. Published

    On the fundamental group of self-affine plane tiles

    Luo, J. & Thuswaldner, J., 2006, In: Annales de l'Institut Fourier. 56, p. 2493-2524

    Research output: Contribution to journalArticleResearchpeer-review

  70. Published

    On Waring's and Tarry's problem with digital restrictions

    Kirschenhofer, P., Pfeiffer, O. & Thuswaldner, J., 2006, Elementare und Analytische Zahlentheorie. p. 143-154

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  71. Published

    Surface Parametrisation without Diagonalisation

    Van De Woestijne, C., 2006, Proceedings of the ISSAC. p. 340-344

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  72. Published

    Unimodular Pisot substitutions and their associated tiles

    Thuswaldner, J., 2006, In: Journal de théorie des nombres de Bordeaux. 18, p. 487-536

    Research output: Contribution to journalArticleResearchpeer-review

  73. 2005
  74. Published

    Analysis of linear combination algorithms in cryptography

    Grabner, P. J., Heuberger, C., Prodinger, H. & Thuswaldner, J., 2005, In: ACM transactions on algorithms. 1, p. 123-142

    Research output: Contribution to journalArticleResearchpeer-review

  75. Published

    Combinatorial Tools for the Analysis of Numbertheoretic Algorithms

    Kirschenhofer, P., 2005

    Research output: Book/ReportCommissioned reportTransferpeer-review

  76. Published

    Deterministic equation solving over finite fields

    Van De Woestijne, C., 2005, Proceedings of the ISSAC. p. 348-353

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  77. Published

    Generalized radix representations and dynamical systems I

    Akiyama, S., Borbély, T., Brunotte, H., Pethö, A. & Thuswaldner, J., 2005, In: Acta mathematica Hungarica. 108, p. 207-238

    Research output: Contribution to journalArticleResearchpeer-review

  78. Published

    On the topological structure of fractal tilings generated by quadratic number systems

    Akiyama, S. & Thuswaldner, J., 2005, In: Computers & mathematics with applications. 49, p. 1439-1485

    Research output: Contribution to journalArticleResearchpeer-review

  79. Published

    Waring's problem with digital restrictions

    Thuswaldner, J. & Tichy, R. F., 2005, In: Israel journal of mathematics. 149, p. 317-344

    Research output: Contribution to journalArticleResearchpeer-review

  80. 2003
  81. Published

    Special issue on Combinatorial Matrix Theory Conference - Preface

    Kräuter, A. R. (Co-editor), Shao, J.-Y. (Co-editor), Hwang, S.-G. (Co-editor) & Shader, B. L. (Co-editor), 1 Nov 2003, In: Linear algebra and its applications. 373, p. 1-3

    Research output: Contribution to journalArticleResearchpeer-review

  82. 1999
  83. Published

    On the diameter of sets of almost powers

    Van De Woestijne, C. & de Weger, B., 1999, In: Acta arithmetica. 90, p. 371-385

    Research output: Contribution to journalArticleResearchpeer-review

  84. Published

    On the power-free parts of consecutive integers

    Van De Woestijne, C. & de Weger, B., 1999, In: Acta arithmetica. 90, p. 387-395

    Research output: Contribution to journalArticleResearchpeer-review

  85. 1998
  86. Published

    An upper bound for the permanent of a nonnegative matrix

    Hwang, S.-G., Kräuter, A. R. & Michael, T. S., 1998, In: Linear algebra and its applications. 281, p. 259-263

    Research output: Contribution to journalArticleResearchpeer-review

  87. Published

    Comparison of permanental bounds of (0,1) matrices

    Hwang, S.-G. & Kräuter, A. R., 1998, In: Discrete applied mathematics. 84, p. 133-144

    Research output: Contribution to journalArticleResearchpeer-review

  88. 1996
  89. Published

    Ein Vergleich zweier oberer Schranken für die Permanente von (0,1)-Matrizen

    Hwang, S.-G. & Kräuter, A. R., 1996, In: Séminaire Lotharingien de Combinatoire. 36, p. 1-10

    Research output: Contribution to journalArticleResearchpeer-review

  90. 1995
  91. Published
  92. 1993
  93. Published
  94. Published

    Eine Neuentwicklung des Verfahrens nach Bals zur Senkungsberechnung

    Anegg, U., Czubik, E. & Kräuter, A. R., 1993, In: Markscheidewesen, Das. 100, p. 438-445

    Research output: Contribution to journalArticleResearchpeer-review

  95. Published

    Permanents of (1,-1) matrices

    Kräuter, A. R., 1993, Proceedings of the Topology and Geometry Research Center, Volume 4. p. 151-204

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  96. 1992
  97. Published

    Permanenten

    Kräuter, A. R., 1992, In: Jahrbuch Überblicke Mathematik (Mathematical surveys). 21, p. 185-201

    Research output: Contribution to journalArticleResearchpeer-review

  98. 1991
  99. Published

    Séminaire Lotharingien de Combinatoire, 25e Session (Publication de l'Institut de Recherche Mathématique Avancée, 462)

    Kräuter, A. R. (Editor), 1991, Strasbourg, Frankreich.

    Research output: Book/ReportAnthologyResearch

  100. 1990
  101. Published

    Institut für Mathematik und Angewandte Geometrie - [Abteilung für] Mathematik und Mathematische Statistik

    Kräuter, A. R., 1990, 150 Jahre Montanuniversität Leoben. p. 484-492

    Research output: Chapter in Book/Report/Conference proceedingChapterResearch

  102. 1988
  103. Published

    Einige Bemerkungen über die Lösungen der Gleichung per(zI-A) = 0

    Kräuter, A. R., 1988, In: Séminaire Lotharingien de Combinatoire. 16, p. 87-98

    Research output: Contribution to journalArticleResearchpeer-review

  104. Published

    Maximale Permanenten von (1,-1)-Matrizen mit beliebigem Rang

    Kräuter, A. R., 1988, In: Séminaire Lotharingien de Combinatoire. 20, p. 121-129

    Research output: Contribution to journalArticleResearchpeer-review

  105. 1987
  106. Published

    On a theorem of M. Marcus and H. Minc and a little known expansion formula for permanents

    Kräuter, A. R., 1987, In: Linear and multilinear algebra. 20, p. 367-371

    Research output: Contribution to journalArticleResearchpeer-review

  107. Published

    On the greatest distance between two permanental roots of a matrix

    Kräuter, A. R., 1987, In: Linear algebra and its applications. p. 39-55

    Research output: Contribution to journalArticleResearchpeer-review

  108. Published

    Permanenten von (1,-1)-Matrizen

    Kräuter, A. R., 1987, In: Berichte der Mathematisch-Statistischen Sektion in der Forschungsgesellschaft Joanneum. 273, p. 1-103

    Research output: Contribution to journalArticleResearchpeer-review

  109. 1985
  110. Published

    Recent results on permanents of (1,-1) matrices

    Kräuter, A. R., 1985, In: Berichte der Mathematisch-Statistischen Sektion in der Forschungsgesellschaft Joanneum. 249, p. 1-25

    Research output: Contribution to journalArticleResearchpeer-review

  111. Published

    Über die Permanente gewisser zirkulanter Matrizen und damit zusammenhängender Toeplitz-Matrizen

    Kräuter, A. R., 1985, In: Séminaire Lotharingien de Combinatoire. 11, p. 82-94

    Research output: Contribution to journalArticleResearchpeer-review

  112. 1984
  113. Published

    Erratum to: "On convertible (0,1)-matrices''

    Kräuter, A. & Seifter, N., 1984, In: Linear and multilinear algebra. 15 (1984), p. 191

    Research output: Contribution to journalArticleResearchpeer-review

  114. Published

    Permanenten - Ein kurzer Überblick

    Kräuter, A. R., 1984, In: Séminaire Lotharingien de Combinatoire. 9, p. 39-83

    Research output: Contribution to journalArticleResearchpeer-review

  115. Published

    Some properties of the permanent of (1,-1)-matrices

    Kräuter, A. & Seifter, N., 1984, In: Linear and multilinear algebra. 15 (1984), p. 207-223

    Research output: Contribution to journalArticleResearchpeer-review

  116. 1983
  117. Published

    On convertible (0,1)-matrices

    Kräuter, A. & Seifter, N., 1983, In: Linear and multilinear algebra. 13 (1983), p. 311-322

    Research output: Contribution to journalArticleResearchpeer-review

  118. Published

    On some questions concerning permanents of (1,-1)-matrices

    Kräuter, A. & Seifter, N., 1983, In: Israel journal of mathematics. 45 (1983), p. 53-62

    Research output: Contribution to journalArticleResearchpeer-review

  119. 1981
  120. Published

    Analytic iteration and power roots

    Reich, L. & Kräuter, A. R., 1981, In: Comptes rendus mathématiques de l'Académie des Sciences. 3, p. 247-250

    Research output: Contribution to journalArticleResearchpeer-review

  121. Published

    Further connections between fractional and analytic iteration

    Reich, L. & Kräuter, A. R., 1981, In: Comptes rendus mathématiques de l'Académie des Sciences. 3, p. 225-228

    Research output: Contribution to journalArticleResearchpeer-review

  122. Published

    Roots and analytic iteration of formally biholomorphic mappings

    Reich, L. & Kräuter, A. R., 1981, In: Comptes rendus mathématiques de l'Académie des Sciences. 3, p. 221-224

    Research output: Contribution to journalArticleResearchpeer-review