|
|
|
|
List of current courses and lectures
Office: +43/316/873/7120
Fax: +43/316/873/7126
email: tichy@tugraz.at
my address:
Institut für Analysis und Computational Number Theory
Technische Universität Graz
Steyrergasse 30
A-8010 Graz
Austria
Research Interests
|
Administrative Positions
|
Editorial Duties
|
Professional Positions and Awards
|
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
Christoph Aistleitner, István Berkes
and
Robert Tichy:
On permutations of lacunary series.
RIMS Kôkyûroku / Bessatsu,
B34
(2012),
1-25
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 = Trudy Matematiceskogo Instituta Imeni V. A. Steklova,
276
(2012),
3-20
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,
15
(2012),
1-20
Christoph Aistleitner, István Berkes
and
Robert Tichy:
On the system $f(nx)$ and probabilistic number theory.
In: Analytic and Probabilistic Number Theory,
n/a
(2012),
1-18
Christoph Aistleitner, István Berkes
and
Robert Tichy:
On permutations of Hardy- Littlewood-Pólya sequences.
Transactions of the American Mathematical Society,
363
(2011),
6219-6244
Christoph Aistleitner, István Berkes
and
Robert Tichy:
On the asymptotic behavior of weakly lacunary sequences.
Proceedings of the American Mathematical Society,
139
(2011),
2505-2517
Fabrizio Barroero, Christopher Frei
and
Robert Tichy:
Additive unit representations in rings over global fields - A survey.
Publicationes mathematicae,
79
(2011),
291-307
Robert Tichy
and
Martin Zeiner:
Baire results of multi-sequences.
Uniform distribution theory,
5/1
(2010),
13-44
Robert Tichy, Christoph Aistleitner
and
István Berkes:
Lacunary sequences and permutations.
In: Dependence in Probability, Analysis and Number Theory,
n/a
(2010),
35-49
István Berkes, Richard C. Bradley, Herold Dehling, Magda Peligrad
and
Robert Tichy:
Dependence in Probability, Analysis and Number Theory,
Kendrick Press Heber City, Utah, USA,
2010
Clemens Josef Fuchs, Robert Tichy
and
Volker Ziegler:
On quantitative aspects of the unit sum number problem.
Archiv der Mathematik,
93
(2009),
259-268
Robert Tichy
and
Johannes Wallner:
Johannes Frischauf - eine schillernde Persönlichkeit in Mathematik und Alpinismus.
Internationale mathematische Nachrichten = International mathematical news,
210
(2009),
21-32
Robert Tichy:
Nachruf auf Edmund Hlawka.
Monatshefte für Mathematik,
158
(2009),
107-120
István Berkes, Walter Philipp
and
Robert Tichy:
Entropy conditons for subsequences of random variables with applications to empirical processes.
Monatshefte für Mathematik,
153
(2008),
183-204
Volker Ziegler, Robert Tichy
and
Alan Filipin:
The additive unit structure of purely quartic complex fields.
Functiones et approximatio,
39
(2008),
113-131
Thomas Stoll
and
Robert Tichy:
Diophantine equations for Morgan-Voyce and other modified orthogonal polynomials.
Mathematica Slovaca,
58
(2008),
11-18
Manfred Madritsch, Jörg Thuswaldner
and
Robert Tichy:
Normality of numbers generated by the values of entire functions.
Journal of number theory,
128/5
(2008),
1127-1145
István Berkes, Walter Philipp
and
Robert Tichy:
Metric discrepancy results for sequences $\{n_kx\}$ and diophantine equations.
In:
Diophantine Approximation,
16
(2008),
95-105
Attila Pethö, Clemens Josef Fuchs
and
Robert Tichy:
On the diophantine equation $G_n(x)=G_m(P(x))$ with $Q(x,y)=0$.
In:
R. Tichy, H.P. Schlickewei, K. Schmidt (eds.):
Diophantine Approximation,
16
(2008),
199-209
Robert Tichy
and
Stephan Wagner:
Algorithmic generation of molecular graphs with large Merrifield-Simmons index.
Match - communications in mathematical and in computer chemistry,
59
(2008),
239-252
Robert Tichy:
Nachruf auf Walter Philipp.
Monatshefte für Mathematik,
153
(2008),
177-182
Robert Tichy, Volker Ziegler
and
Alan Filipin:
On the quantitative unit sum number problem - an application of the subspace theorem.
Acta arithmetica,
133
(2008),
297-308
Volker Ziegler, Robert Tichy
and
Stephan Wagner:
Graphs, Partitions and Fibonacci Numbers.
Discrete applied mathematics,
155/10
(2007),
1175-1187
Volker Ziegler
and
Robert Tichy:
Units generating the ring of integers of complex cubic fields.
Colloquium mathematicum,
109/1
(2007),
71-83
Robert Tichy, István Berkes
and
Walter Philipp:
Pseudorandom numbers and entropy conditions.
Journal of complexity,
23
(2007),
516-527
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,
50
(2006),
107-145
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 / 2,
142
(2006),
3-7
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,
(2005),
103-126
Peter Grabner, Pierre Liardet
and
Robert Tichy:
Spectral Disjointness of Dynamical Systems Related to Some Arithmetic Functions.
Publicationes mathematicae,
66
(2005),
213-244
Robert Tichy
and
Stephan Wagner:
Extremal Problems for Topological Indices in Combinatorial Chemistry.
Journal of computational biology,
12
(2005),
1004-1013
Jörg Thuswaldner
and
Robert Tichy:
Waring's problem with digital restrictions.
Israel journal of mathematics,
149
(2005),
317-344
Ladislav Misik
and
Robert Tichy:
Large null sets in metric spaces.
Journal of mathematical analysis and applications,
305
(2005),
424-437
Andrej Dujella, Ivica Gusic
and
Robert Tichy:
On the indecomposability of polynomials.
Sitzungsberichte und Anzeiger / Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse / 2,
214
(2005),
81-88
Jürgen Hartinger, Reinhold Kainhofer
and
Robert Tichy:
Quasi-Monte Carlo Algorithms for unbounded, weighted integration problems.
Journal of complexity,
20/5
(2004),
654-668
Hansjörg Albrecher, Jürgen Hartinger
and
Robert Tichy:
Quasi-Monte Carlo techniques for CAT bond pricing.
Monte Carlo methods and applications,
10
(2004),
197-212
Hansjörg Albrecher, Reinhold Kainhofer
and
Robert Tichy:
Simulation Methods in Ruin Models with Non-linear Dividend Barriers.
Mathematics and computers in simulation,
62
(2003),
277-287
Hansjörg Albrecher, Jürgen Hartinger
and
Robert Tichy:
Multivariate approximation methods for the pricing of catastrophe-linked bonds.
International series of numerical mathematics,
145
(2003),
21-39
Clemens Josef Fuchs
and
Robert Tichy:
Perfect powers in linear recurring sequences.
Acta arithmetica,
107/1
(2003),
9-25
Clemens Josef Fuchs, 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,
355
(2003),
4657-4681
Gerhard Larcher, Martin Predota
and
Robert Tichy:
Arithmetic average options in the hyperbolic model.
Monte Carlo methods and applications,
9
(2003),
227-239
Hansjörg Albrecher, Reinhold Kainhofer
and
Robert Tichy:
Efficient Simulation Techniques for a Generalized Ruin Model.
Grazer mathematische Berichte,
245
(2002),
79-110
Reinhold Kainhofer
and
Robert Tichy:
QMC methods for the solution of differential equations with multiple delayed arguments.
Grazer mathematische Berichte,
345
(2002),
111-129
Clemens Josef Fuchs, Robert Tichy
and
Attila Pethö:
On the Diophantine equation G_n(x)=G_m(P(x)).
Monatshefte für Mathematik,
137/3
(2002),
173-196
Clemens Josef Fuchs, Robert Tichy
and
Andrej Dujella:
Diophantine m-tuples for linear polynomials.
Periodica mathematica Hungarica,
45/1-2
(2002),
21-33
Clemens Heuberger, Attila Pethö
and
Robert Tichy:
Thomas' family of Thue equations over imaginary quadratic fields.
Journal of symbolic computation,
34
(2002),
437-449
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
István Berkes, Walter Philipp
and
Robert Tichy:
Pair correlation and U-statistics for independent and weakly dependent random variables.
Illinois journal of mathematics,
45
(2001),
559-580
Wolfgang Müller, Jörg Thuswaldner
and
Robert Tichy:
Fractal properties of number systems.
Periodica mathematica Hungarica,
42
(2000),
51-68
Hansjörg Albrecher
and
Robert Tichy:
Zur Konvergenz eines Lösungsverfahrens für ein Risikomodell mit gammaverteilten Schäden.
Schweizerische Aktuarvereinigung: Mitteilungen,
(2000),
115-127
Hansjörg Albrecher, Jiri Matousek
and
Robert Tichy:
Discrepancy of point sequences on fractal sets.
Publicationes mathematicae,
56
(2000),
233-249
Yuri F. Bilu
and
Robert Tichy:
The diophantine equation f(x)=g(y).
Acta arithmetica,
95/3
(2000),
261-288
Philipp und Sophie beim Schifahren (2002):
February 2004:
Carneval 2004:
Im Klettergarten (2005):
Mit Philipp Klettern am Gardasee (2006):
Mit Sophie in Paris (2006):
Sophie und der Denker:
Philipp und Monika 2010:
Hiking and mountain climbing:
You might also like to have a look at
some more photographs
taken at regular mountain tours.
Also, look at some pictures from South Africa (2003)
Uniform Distribution and Discrepancy
Head of the Department of Mathematics (TU Graz, 1994-2000)