Robert F. Tichy's Homepage

Office: +43/316/873/7120
Fax: +43/316/873/7126
email: tichy@tugraz.at

Institut für Analysis und Zahlentheorie
Technische Universität Graz
Steyrergasse 30
A-8010 Graz
Austria

Teaching

Each semester, I do teaching for undergraduate engineering students as well as undergraduate and graduate math students. For details see "List of current courses and lectures". Furthermore, each year, I give a lecture in insurance mathematics.

PhD Students (Mathematics Genealogy Project)

Selected Publications

• Peter Grabner, Peter Kirschenhofer and Robert Tichy: Combinatorial and arithmetical properties of linear numeration systems. Combinatorica, 22 (2002), 245-267
• Hansjörg Albrecher, Jozef Teugels and Robert Tichy: On a gamma series expansion for the time-dependent probability of collective ruin. Insurance / Mathematics & economics, 29 (2001), 345-355
• Yuri F. Bilu and Robert Tichy: The diophantine equation f(x)=g(y). Acta arithmetica, 95/3 (2000), 261-288
• Michael Drmota and Robert Tichy: Sequences, discrepancies and applications, Springer-Verlag Berlin, 1997
• Peter Grabner, Pierre Liardet and Robert Tichy: Odometers and systems of numeration. Acta arithmetica, 70 (1995), 103-123
• Philippe Flajolet, Peter Grabner, Peter Kirschenhofer, Helmut Prodinger and Robert Tichy: Mellin transforms and asymptotics: digital sums. Theoretical computer science, 123/2 (1994), 291-314
• Peter Grabner and Robert Tichy: alpha-expansions, linear recurrences and the sum-of-digits function. Manuscripta mathematica, 70 (1991), 311-324
• Martin Blümlinger, Michael Drmota and Robert Tichy: A uniform law of the iterated logarithm for Brownian motion on compact Riemannian manifolds. Mathematische Zeitschrift, 201/4 (1989), 495-507
• Philippe Flajolet, Peter Kirschenhofer and Robert Tichy: Deviations from uniformity in random strings. Probability theory and related fields, 80/1 (1988), 139-150
• Robert Tichy: Ein metrischer Satz über vollständig gleichverteilte Folgen. Acta arithmetica, 48/2 (1987), 197-207
• Norbert Kopecek, Gerhard Larcher, Robert Tichy and Gerhard Turnwald: On the discrepancy of sequences associated with the sum-of-digits function. Annales de l’Institut Fourier, 37/3 (1987), 1-17
• Christian Buchta, Josef S. Müller and Robert Tichy: Stochastical approximation of convex bodies. Mathematische Annalen, 271/2 (1985), 225-235
• Harald Niederreiter and Robert Tichy: Solution of a problem of Knuth on complete uniform distribution of sequences. Mathematika, 32/1 (1985), 26-32
• Viktor Losert, Werner Georg Nowak and Robert Tichy: On the Asymptotic Distribution of the Powers of $(s\times s)$-Matrices. Compositio mathematica, 45/2 (1982), 273-291
• Helmut Prodinger and Robert Tichy: Fibonacci numbers of graphs. The Fibonacci quarterly, 20/1 (1982), 16-21

Publications since 2000

1. Wolfgang Müller, Jörg Thuswaldner and Robert Tichy, Fractal properties of number systems, Periodica Mathematica Hungarica, Springer Science+Business Media B.V, 42, (2000), 51–68.
2. Y. F. Bilu, T. Stoll and R. F. Tichy, Octahedrons with equally many lattice points, Periodica Mathematica Hungarica, Springer Science+Business Media B.V, 40, (2000), 229–238.
3. Hansjörg Albrecher and Robert Tichy, Zur Konvergenz eines Lösungsverfahrens für ein Risikomodell mit gammaverteilten Schäden, Schweizerische Aktuarvereinigung: Mitteilungen, no. 2, (2000), 115–127.
4. Hansjörg Albrecher, Jiri Matousek and Robert Tichy, Discrepancy of point sequences on fractal sets, Publicationes Mathematicae, Kossuth Lajos Tudomanyegyetem, 56(3-4), (2000), 233–249.
5. T. Siegl and R. F. Tichy, Ruin theory with risk proportional to free reserve and securitization, Insurance / Mathematics & economics, Elsevier B.V., 26(1), (2000), 59–73. [doi]
6. Bilu, Yuri F. and Tichy, Robert F., The Diophantine equation f(cursive Greek chi) = g(y), Acta Arithmetica, Instytut Matematyczny, 95(3), (2000), 261–288. [doi]
7. Bilu, Yuri F. and Robert Tichy, The diophantine equation f(x)=g(y), Acta Arithmetica, Instytut Matematyczny, 95(3), (2000), 261–288.
8. J. M. Thuswaldner and R. F. Tichy, An Erdös-Kac theorem for systems of $q$-additive functions, Indagationes Mathematicae, Elsevier B.V., 11, (2000), 283–291.
9. M. Pasteka and R. F. Tichy, Uniformly distributed sequences and rings of complex numbers, Rivista di matematica della Università di Parma, Università degli Studi di Parma, 3, (2000), 1–10.
10. Hansjörg Albrecher, Jozef Teugels and Robert Tichy, On a gamma series expansion for the time-dependent probability of collective ruin, Insurance / Mathematics & economics, Elsevier B.V., 29(3), (2001), 345–355.
11. István Berkes, Walter Philipp and Robert Tichy, Pair correlation and U-statistics for independent and weakly dependent random variables, Illinois Journal of Mathematics, Duke University Press, 45, (2001), 559–580.
12. A. Dujella and R. F. Tichy, Diophantine equations for second order recursive sequences of polynomials, The Quarterly Journal of Mathematics, Oxford University Press, 52(2), (2001), 161–169. [doi]
13. Clemens Fuchs, Attila Petho and Tichy, Robert F., On the diophantine equation Gn(x) = Gm(P(x)), Monatshefte fur Mathematik, Springer Wien, 137(3), (2002), 173–196. [doi]
14. T. Siegl and R. F. Tichy, A model in ruin theory using derivative securities, Schweizerische Aktuarvereinigung: Mitteilungen, no. 1, (2002), 13–30.
15. Peter Grabner, Peter Kirschenhofer and Robert Tichy, Combinatorial and arithmetical properties of linear numeration systems, Combinatorica, Springer, 22, (2002), 245–267.
16. Clemens Heuberger, Attila Pethö and Robert Tichy, Thomas' family of Thue equations over imaginary quadratic fields, Journal of Symbolic Computation, Elsevier B.V., 34, (2002), 437–449. [doi]
17. Fuchs, Clemens Josef, Robert Tichy and Attila Pethö, On the Diophantine equation G_n(x)=G_m(P(x)), Monatshefte für Mathematik, Springer Wien, 137(3), (2002), 173–196.
18. W. Philipp and R. F. Tichy, Metric theorems for distribution measures of pseudorandom sequences, Monatshefte für Mathematik, Springer Wien, 135, (2002), 321–326.
19. Fuchs, Clemens Josef, Robert Tichy and Andrej Dujella, Diophantine m-tuples for linear polynomials, Periodica Mathematica Hungarica, Springer Science+Business Media B.V, 45(1-2), (2002), 21–33.
20. Y. Bilu, B. Brindza, P. Kirschenhofer, A. Pinter and R. F. Tichy, Diophantine equations and Bernoulli polynomials, Compositio Mathematica, Cambridge University Press, 131, (2002), 173–188.
21. Hansjörg Albrecher, Reinhold Kainhofer and Robert Tichy, Efficient Simulation Techniques for a Generalized Ruin Model, Grazer mathematische Berichte, 245, (2002), 79–110.
22. Reinhold Kainhofer and Robert Tichy, QMC methods for the solution of differential equations with multiple delayed arguments, Grazer mathematische Berichte, 345, (2002), 111–129.
23. Gerhard Larcher, Martin Predota and Robert Tichy, Arithmetic average options in the hyperbolic model, Monte Carlo methods and applications, de Gruyter, 9, (2003), 227–239.
24. T. Stoll and R. F. Tichy, Diophantine equations for classical continuous orthogonal polynomials, Indagationes Mathematicae, Elsevier B.V., 14, (2003), 263–274.
25. Clemens Fuchs, Attila Petho and Tichy, Robert F., On the Diophantine equation Gn(x) = Gm(P(x)): Higher-order recurrences, Transactions of the American Mathematical Society, American Mathematical Society, 355(11), (2003), 4657–4681. [doi]
26. Fuchs, Clemens Josef, Robert Tichy and Attila Pethö, On the Diophantine equation G_n(x)=G_m(P(x)): higher-order recurrences, Transactions of the American Mathematical Society, American Mathematical Society, 355, (2003), 4657–4681.
27. Hansjörg Albrecher, Jürgen Hartinger and Robert Tichy, Multivariate approximation methods for the pricing of catastrophe-linked bonds, International Series of Numerical Mathematics, Springer Nature Switzerland AG, 145, (2003), 21–39.
28. L. L. Cristea and R. F. Tichy, Discrepancies of point sequences on the Sierpinski carpet, Mathematica Slovaca, deGruyter, 53, (2003), 351–367.
29. M. Pasteka and R. F. Tichy, A note on the correlation coeffcient of arithmetic functions, Acta Academiae Paedagogicae Agriensis / Sectio Mathematicae, Eszterhazy Karoly College, 30, (2003), 109–114.
30. Fuchs, Clemens Josef and Robert Tichy, Perfect powers in linear recurring sequences, Acta Arithmetica, Instytut Matematyczny, 107.1, (2003), 9–25.
31. Hansjörg Albrecher, Reinhold Kainhofer and Robert Tichy, Simulation Methods in Ruin Models with Non-linear Dividend Barriers, Mathematics and Computers in Simulation, Elsevier B.V., 62, (2003), 277–287.
32. G. Dorfer and R. F. Tichy, Quadratic algebraic numbers with finite $b$-adic expansion on the unit circle and their distribution, Mathematische Nachrichten, Wiley-VCH, 273, (2004), 58–74.
33. Th Stoll and Tichy, R. F., The Diophantine equation α( m x) + β( n y) = γ, Publicationes Mathematicae, Kossuth Lajos Tudomanyegyetem, 64(1-2), (2004), 155–165.
34. T. Stoll and R. F. Tichy, The Diophantine equation alpha(x choose m)+beta(y choose n)=gamma, Publicationes Mathematicae, Kossuth Lajos Tudomanyegyetem, 64, (2004), 155–165.
35. Hansjörg Albrecher, Jürgen Hartinger and Robert Tichy, Quasi-Monte Carlo techniques for CAT bond pricing, Monte Carlo methods and applications, de Gruyter, 10(3-4), (2004), 197–212.
36. Hansjörg Albrecher, Jürgen Hartinger and Tichy, Robert F., QMC techniques for CAT bond pricing, Monte Carlo methods and applications, de Gruyter, 10(3-4), (2004), 197–211. [doi]
37. T. Stoll and R. F. Tichy, Diophantine equations involving general Meixner and Krawtchouk polynomials, Quaestiones Mathematicae, Taylor and Francis Ltd., 27, (2004), 105–115.
38. Jürgen Hartinger, Reinhold Kainhofer and Robert Tichy, Quasi-Monte Carlo Algorithms for unbounded, weighted integration problems, Journal of Complexity, Elsevier USA, 20(5), (2004), 654–668.
39. Peter Grabner, Pierre Liardet and Robert Tichy, Spectral Disjointness of Dynamical Systems Related to Some Arithmetic Functions, Publicationes Mathematicae, Kossuth Lajos Tudomanyegyetem, 66, (2005), 213–244.
40. Andrej Dujella, Ivica Gusic and Robert Tichy, On the indecomposability of polynomials, Sitzungsberichte und Anzeiger / Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse : Abteilung I, Biologische Wissenschaften und Erdwissenschaften ; Abteilung II, Mathematische, Physikalische und Technische Wissenschaften, Verlag der Österreichischen Akademie der Wissenschaften, 214, (2005), 81–88.
41. Jörg Thuswaldner and Robert Tichy, Waring's problem with digital restrictions, Israel Journal of Mathematics, Springer, 149, (2005), 317–344.
42. Hansjörg Albrecher, Jürgen Hartinger and Robert Tichy, On the distribution of dividend payments and the discounted penalty function in a risk model with linear dividend barrier, Scandinavian Actuarial Journal, Taylor and Francis Ltd., no. No. 2, (2005), 103–126.
43. Robert Tichy and Stephan Wagner, Extremal Problems for Topological Indices in Combinatorial Chemistry, Journal of Computational Biology, Mary Ann Liebert Inc., 12(7), (2005), 1004–1013.
44. Ladislav Misik and Robert Tichy, Large null sets in metric spaces, Journal of Mathematical Analysis and Applications, Elsevier B.V., 305, (2005), 424–437.
45. István Berkes, Walter Philipp and Robert Tichy, Empirical processes in probabilistic number theory: the LIL for the discrepancy of $(n_kw)$ mod 1, Illinois Journal of Mathematics, Duke University Press, 50(1), (2006), 107–145.
46. István Berkes, Walter Philipp and Tichy, Robert F., Empirical processes in probabilistic number theory: The LIL for the discrepancy of (nkω) MOD 1, Illinois Journal of Mathematics, Duke University Press, 50(1), (2006), 107–145. [doi]
47. Thomas Stoll and Tichy, Robert F., Octahedrons with equally many lattice points and generalizations, (2006), 724–729.
48. Clemens Heuberger, Attila Pethö and Robert Tichy, Thomas' Family of Thue Equations over Imaginary Quadratic Fields, II, Sitzungsberichte und Anzeiger / Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse : Abteilung I, Biologische Wissenschaften und Erdwissenschaften ; Abteilung II, Mathematische, Physikalische und Technische Wissenschaften, Verlag der Österreichischen Akademie der Wissenschaften, 142, (2006), 3–7.
49. Robert Tichy, István Berkes and Walter Philipp, Pseudorandom numbers and entropy conditions, Journal of Complexity, Elsevier USA, 23(4-6), (2007), 516–527.
50. Volker Ziegler, Robert Tichy and Stephan Wagner, Graphs, Partitions and Fibonacci Numbers, Discrete Applied Mathematics, Elsevier B.V., 155(10), (2007), 1175–1187.
51. Volker Ziegler and Robert Tichy, Units generating the ring of integers of complex cubic fields, Colloquium Mathematicum, Institute of Mathematics, Polish Academy of Sciences, 109(1), (2007), 71–83.
52. István Berkes, Walter Philipp and Robert Tichy, Entropy conditons for subsequences of random variables with applications to empirical processes, Monatshefte für Mathematik, Springer Wien, 153(3), (2008), 183–204. [doi]
53. Alan Filipin, Robert Tichy and Volker Ziegler, The additive unit structure of pure quartic complex fields, Functiones et Approximatio, Commentarii Mathematici, Adam Mickiewicz University Press, 39(1), (2008), 113–131. [doi]
54. Robert Tichy and Stephan Wagner, Algorithmic generation of molecular graphs with large Merrifield-Simmons index, Match, University of Kragujevac, Faculty of Science, 59(1), (2008), 239–252.
55. Robert Tichy, Nachruf auf Walter Philipp, Monatshefte für Mathematik, Springer Wien, 153, (2008), 177–182.
56. Attila Pethö, Fuchs, Clemens Josef and Robert Tichy, On the diophantine equation $G_n(x)=G_m(P(x))$ with $Q(x,y)=0$, Chapter in , Springer, 16, (2008), 199–209. [doi]
57. Manfred Madritsch, Jörg Thuswaldner and Robert Tichy, Normality of numbers generated by the values of entire functions, Journal of Number Theory, Academic Press, 128(5), (2008), 1127–1145. [doi]
58. István Berkes, Walter Philipp and Robert Tichy, Metric discrepancy results for sequences $\{n_kx\}$ and diophantine equations, Chapter in , Springer, 16, (2008), 95–105. [doi]
59. Robert Tichy, Volker Ziegler and Alan Filipin, On the quantitative unit sum number problem - an application of the subspace theorem, Acta Arithmetica, Instytut Matematyczny, 133, (2008), 297–308.
60. Volker Ziegler, Robert Tichy and Alan Filipin, The additive unit structure of purely quartic complex fields, Functiones et approximatio, Adam Mickiewicz University Press, 39(1), (2008), 113–131.
61. Thomas Stoll and Robert Tichy, Diophantine equations for Morgan-Voyce and other modified orthogonal polynomials, Mathematica Slovaca, deGruyter, 58(1), (2008), 11–18.
62. Robert Tichy and Johannes Wallner, Johannes Frischauf - eine schillernde Persönlichkeit in Mathematik und Alpinismus, Internationale Mathematische Nachrichten, Österreichische Mathematische Gesellschaft, ÖMG, 210, (2009), 21–32.
63. Robert Tichy, Nachruf auf Edmund Hlawka, Monatshefte für Mathematik, Springer Wien, 158, (2009), 107–120.
64. Fuchs, Clemens Josef, Robert Tichy and Volker Ziegler, On quantitative aspects of the unit sum number problem, Archiv der Mathematik, Springer International Publishing AG, 93, (2009), 259–268.
65. Robert Tichy, Christoph Aistleitner and István Berkes, Lacunary sequences and permutations, Chapter in , Kendrick Press, (2010), 35–49.
66. Dependence in Probability, Analysis and Number Theory, (István Berkes, Bradley, Richard C., Herold Dehling, Magda Peligrad, Robert Tichy, eds.), Kendrick Press, (2010).
67. Robert Tichy and Martin Zeiner, Baire results of multi-sequences, Uniform Distribution Theory, Slovak Academy of Sciences, 5(1), (2010), 13–44.
68. Fabrizio Barroero, Christopher Frei and Robert Tichy, Additive unit representations in rings over global fields - A survey, Publicationes Mathematicae, Kossuth Lajos Tudomanyegyetem, 79(3-4), (2011), 291–307. [doi]
69. Christoph Aistleitner, István Berkes and Robert Tichy, On the asymptotic behavior of weakly lacunary sequences, Proceedings of the American Mathematical Society, American Mathematical Society, 139(7), (2011), 2505–2517.
70. C. Aistleitner, I. Berkes and R. Tichy, On the asymptotic behavior of weakly lacunary series, Proceedings of the American Mathematical Society, American Mathematical Society, 139(7), (2011), 2505–2517. [doi]
71. Christoph Aistleitner, István Berkes and Robert Tichy, On permutations of Hardy- Littlewood-Pólya sequences, Transactions of the American Mathematical Society, American Mathematical Society, 363, (2011), 6219–6244.
72. Christoph Aistleitner, István Berkes and Robert Tichy, On the system $f(nx)$ and probabilistic number theory, In Analytic and Probabilistic Number Theory, ., (2012), 1–18.
73. Christoph Aistleitner, István Berkes and Robert Tichy, On the law of the iterated logarithm for permuted lacunary sequences, Proceedings of the Steklov Institute of Mathematics, Springer Science+Business Media, 276, (2012), 3–20.
74. Christoph Aistleitner, Markus Hofer and Robert Tichy, A central limit theorem for Latin hypercube sampling with dependence and application to exotic basket option pricing, International Journal of Theoretical and Applied Finance, World Scientific, 15(7), (2012), 1–20. [doi]
75. Christoph Aistleitner, István Berkes and Robert Tichy, On permutations of lacunary series, RIMS Kôkyûroku / Bessatsu, B34, (2012), 1–25.
76. Manfred Madritsch and Robert Tichy, Construction of normal numbers via generalized prime power sequences, Journal of Integer Sequences, AT & T, 16(2), (2013), 17 –30.
77. Robert Tichy and István Berkes, Lacunary series and stable distributions, Chapter in , ., (2013), 135–143.
78. Christopher Frei, Robert Tichy and Volker Ziegler, On sums of s-integers of bounded norm, Monatshefte für Mathematik, Springer Wien, 175(2), (2014), 241–247. [doi]
79. Vitaly Bergelson, Grigori Kolesnik, Manfred Madritsch, Younghwan Son and Robert Tichy, Uniform distribution of prime powers and sets of recurrence and van der Corput sets in ℤ k, Israel Journal of Mathematics, Springer, 201(2), (2014), 729–760. [doi]
80. István Berkes and Robert Tichy, Lacunary series and stable distributions, In Mathematical Statistics and Limit Theorems, Springer, (2015), 7–19. [doi]
81. Manfred Madritsch and Robert Tichy, Dynamical systems and uniform distribution of sequences, Chapter in , Springer Verlag, (2015).
82. Iaco, Maria Rita, Milan Pasteka and Robert Tichy, Measure density for set decompositions and uniform distribution, Rendiconti del Circolo Matematico di Palermo, Circolo Matematico di Palermo, 64, (2015), 323–339. [doi]
83. Dijana Kreso and Tichy, Robert F., Functional composition of polynomials: indecomposability, Diophantine equations and lacunary polynomials, Grazer mathematische Berichte, 363, (2015), 143–170.
84. Iaco, Maria Rita, Thonhauser, Stefan Michael and Robert Tichy, Distribution functions, extremal limits and optimal transport, Indagationes Mathematicae, Elsevier B.V., 26(5), (2015), 823–841. [doi]
85. Markus Hofer, Iaco, Maria Rita and Robert Tichy, Ergodic properties of $\beta$-adic Halton sequences, Ergodic Theory and Dynamical Systems, Cambridge University Press, 35(3), (2015), 895–909. [doi]
86. István Berkes and Robert Tichy, On permutation-invariance of limit theorems, Journal of Complexity, Elsevier USA, 31(3), (2015), 372–379. [doi]
87. Gregory Derfel, Grabner, Peter J. and Tichy, Robert F., On the asymptotic behaviour of the zeros of solutions of one functional-differential equation with rescaling, arXiv, (2016). [doi]
88. I. Berkes and R. Tichy, The Kadec-Pelczynski theorem in Lp, 1 ≤ p ≤ 2, Proceedings of the American Mathematical Society, American Mathematical Society, 144(5), (2016), 2053–2066. [doi]
89. Iacò, Maria Rita, Wolfgang Steiner and Tichy, Robert F., Linear recursive odometers and beta-expansions, Uniform Distribution Theory, Slovak Academy of Sciences, 11(1), (2016), 175–186.
90. Thonhauser, Stefan Michael, Robert Tichy, Iaco, Maria Rita, Oto Strauch and Vladimir Balaz, An extremal problem in uniform distribution theory, Uniform Distribution Theory, Slovak Academy of Sciences, 11(2), (2016). [doi]
91. Christoph Aistleitner, Florian Pausinger, Svane, Anne Marie and Robert Tichy, On functions of bounded variation, Mathematical Proceedings of the Cambridge Philosophical Society, Cambridge University Press, 162(3), (2017), 405–418. [doi]
92. Christian Elsholtz, Niclas Technau and Robert Tichy, On the regularity of primes in arithmetic progressions, International Journal of Number Theory, World Scientific Publishing, 13(5), (2017). [doi]
93. Michael Kerber, Robert Tichy and Weitzer, Mario Franz, Constrained Triangulations, Volumes of Polytopes, and Unit Equations, In 33rd International Symposium on Computational Geometry (SoCG 2017), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, (2017), 46:1—-46:15.
94. Dijana Kreso and Robert Tichy, Diophantine equations in separated variables, Periodica Mathematica Hungarica, Springer Science+Business Media B.V, (2018), 47–67. [doi]
95. Christoph Aistleitner, Gerhard Larcher, Friedrich Pillichshammer, Eddin, Sumaia Saad and Tichy, Robert F., On Weyl products and uniform distribution modulo one, Monatshefte fur Mathematik, Springer Wien, 185(3), (2018), 365–391. [doi]
96. Thonhauser, Stefan Michael, Robert Tichy and Preischl, Michael Julius, Integral Equations, Quasi-Monte Carlo Methods and Risk Modelling, Chapter in (Dick, J., F. Kuo, Wo\'zniakowski, H., eds.), Springer Verlag, (2018), 1051–1074. [doi]
97. Gregory Derfel, Grabner, Peter J. and Tichy, Robert F., On the asymptotic behaviour of the zeros of the solutions of a functional-differential equation with rescaling, Chapter in (D. Alpay, B. Kirstein, eds.), Birkhäuser, (2018), 281–295. [doi]
98. Ernst Stadlober and Robert Tichy, Ulrich Dieter 1932-2018, Internationale Mathematische Nachrichten, Österreichische Mathematische Gesellschaft, ÖMG, 238, (2018), 33–43.
99. Manfred Madritsch, A. M. Scheerer and R. Tichy, Computable absolutely Pisot normal numbers, Acta Arithmetica, Instytut Matematyczny, 184, (2018), 7–29. [doi]
100. Manfred Madritsch and Robert Tichy, MULTIDIMENSIONAL VAN DER CORPUT SETS AND SMALL FRACTIONAL PARTS OF POLYNOMIALS, Mathematika, University College London, 65(2), (2019), 400–435. [doi]
101. Milan Paštéka and Robert Tichy, Measurable sequences, Rivista di Matematica della Universita di Parma, Università degli Studi di Parma, 10(1), (2019), 63–84.
102. Michael Kerber, Robert Tichy and Weitzer, Mario Franz, Constrained Triangulations, Volumes of Polytopes, and Unit Equations, Publicationes Mathematicae, Kossuth Lajos Tudomanyegyetem, 99(1-2), (2021), 69–99. [doi]
103. Robert Tichy, Ingrid Vukusic, Daodao Yang and Volker Ziegler, Integers representable as differences of linear recurrence sequences, Research in Number Theory, Springer, 7(2), (2021). [doi]
104. R. Tichy, I. Vukusic, D. Yang and V. Ziegler, Correction to: On a variant of Pillai\textquoterights problem with transcendental numbers, Acta Mathematica Hungarica, Springer Netherlands, 167(1), (2022). [doi]
105. Mahadi Ddamulira, Florian Luca and Robert Tichy, On the Shorey–Tijdeman Diophantine equation involving terms of Lucas sequences, Indagationes Mathematicae, Elsevier B.V., 33(2), (2022), 314–321. [doi]
106. R. Tichy, I. Vukusic, D. Yang and V. Zeigler, On a variant of Pillai's problem with transcendental numbers, Acta Mathematica Hungarica, Springer Netherlands, 166(2), (2022), 650–666. [doi]
107. Christian Elsholtz and Robert Tichy, Some results of James Maynard, Internationale Mathematische Nachrichten, Österreichische Mathematische Gesellschaft, ÖMG, (2022).
108. Sebastian Heintze, Robert Tichy, Ingrid Vukusic and Volker Ziegler, On the Diophantine equation U_n-b^m=c, Mathematics of Computation, American Mathematical Society, 92(344), (2023), 2825–2859. [doi]
109. Robert Tichy and Dijana Kreso, On variants of Pillai\textquoterights problems with polynomials, In DIOPHANTINE PROBLEMS: DETERMINISM, RANDOMNESS AND APPLICATIONS, Societe Mathematique de France, Panoramas et Synthèses 62, (2024).
110. Lipnik, Gabriel F., Madritsch, Manfred G. and Tichy, Robert F., A central limit theorem for integer partitions into small powers, Monatshefte fur Mathematik, Springer Wien, 203(1), (2024), 149–173. [doi]
111. Robert Tichy, Dijana Kreso and J. Rivat, Diophantine Problems: Determinism, Randomness and Applications, Societe Mathematique de France, Panoramas et Synthèses 62, (2024).
112. Christoph Aistleitner, Istvan Berkes and Robert Tichy, Lacunary sequences in analysis, probability and number theory, Societe Mathematique de France, Panoramas et Synthèses 62, (2024). [doi]
113. Madritsch, M. G., J. Rivat and Tichy, R. F., On finite pseudorandom binary sequences: functions from a Hardy field, Acta Mathematica Hungarica, Springer Netherlands, 174(1), (2024), 121–137. [doi]
114. Robert Tichy and Daniel Windisch, Irreducibility properties of Carlitz' binomial coefficients for algebraic function fields, Finite fields and their applications, Academic Press, 96, (2024). [doi]

You might also like to have a look at some photographs taken at regular mountain tours.
Also, look at some pictures from South Africa (2003)