Robert F. Tichy's Homepage

List of current courses and lectures
Lecture notes
Office: +43/316/873/7120
Fax: +43/316/873/7126
email: tichy@tugraz.at

Institut für Mathematik A
Technische Universität Graz
Steyrergasse 30
A-8010 Graz
Austria

Selected Publications

Extremal Problems for Topological Indices in Combinatorial Chemistry, J. of Comp. Biol. 12 (7), (2005), 1002-1011, with S. Wagner

Large null sets in metric spaces, J. Math. Anal. Appl. 305, (2005), 424-437, with L. Misik

Spectral disjointness of dynamical systems related to some arithmetic functions, Publicationes Mathematicae Debrecen, 66/1-2 (2005), 213-244, with P. Grabner and P. Liardet

Quasi-Monte Carlo techniques for CAT bond pricing, Monte Carlo Methods & Appl. 10 (3-4), (2004), 197-211, with H. Albrecher and J. Hartinger

Diophantine equations involving general Meixner and Krawtchouk polynomials, Quaestiones Mathematicae, 27 (2004), 105-115, with Th. Stoll

The Diophantine Equation $\alpha{x\choose m}+\beta{y\choose n}=\gamma$, Publicationes Mathematicae Debrecen, 64 (2004), 155-165, with Th. Stoll

Quasi-Monte Carlo Algorithms for unbounded, weighted integration problems, Journal of Complexity 20, (2004), 654-668, with J. Hartinger and R. Kainhofer

Diophantine equations for classical continuous orthogonal polynomials, Indag. Math., N.S. 14 (2003), 263-274, with Th. Stoll

Discrepancies of point sequences on the Sierpinski carpet, Mathematica Slovaca, 53 (2003), No. 4, 351-367, with L.L. Cristea

Simulation methods in ruin models with non-linear dividend barriers, Math. Comp. Sim. 62 (2003), 277-287, with H. Albrecher and R. Kainhofer

Perfect powers in linear recurring sequences, Acta Arith., 107.1 (2003), 9-25, with C. Fuchs

Thomas' family of Thue equations over imaginary quadratic fields, J. Symbolic Comput., 34 (2002), 437-449, with C. Heuberger and A. Pethö

On the diophantine equation G_n(x)=G_m(P(x)), Monatsh. Math. 137 (2002), 173-196, with C. Fuchs and A. Pethö

Diophantine Equations and Bernoulli Polynomials (with an appendix by A. Schinzel), Compositio Mathematica 131 (2002), 173-188, with Y. Bilu, B. Brindza, P. Kirschenhofer and A. Pintér

A Model in Ruin Theory using Derivative Securities, Mitt. der Vereinigung Schweizer Versicherungsmath. 1 (2002), with T. Siegl

Combinatorial and Arithmetical Properties of Linear Numeration Systems, Combinatorica 22 (2002), 245-267, with P.J. Grabner and P. Kirschenhofer

Metric Theorems for Distribution Measures of Pseudorandom Sequences, Monatsh. Math. 135 (2002), 321-326, with W. Philipp

On a Gamma Series Expansion for the Time-Dependent Probability of Collective Ruin, Insurance: Mathematics & Economics 29 (2001), 345-355, with H. Albrecher and J.L. Teugels

Fractal Properties of Number Systems, Periodica Math. Hung. 40 (2001), 51-68, with W. Müller and J. Thuswaldner

Diophantine Equations for Second Order Recursive Sequences of Polynomials, Quarterly J. Oxford, 53 (2001), 161-169, with A. Dujella

Pair correlations and U-statistics for independent and weakly dependent random variables, Illinois J. Math. vol. 45, nr. 2, (2001), 559-580, with I. Berkes and W. Philipp

Zur Konvergenz eines Lösungsverfahrens für ein Risikomodell mit gammaverteilten Schäden, Mitt. Schweiz. Aktuarvereinigung, 2 (2000), 115-128, with H. Albrecher

Octahedrons with equally many lattice points, Periodica Math. Hung., 40 (2000), 229-238, with Y.F. Bilu and Th. Stoll

An Erdös-Kac theorem for systems of q-additive functions, Indag. Mathem., N.S., 11 (2000), 283-291, with J.M. Thuswaldner

The Diophantine equation f(x) = g(y), Acta Arith., 95 (2000), 261-288, with Y.F. Bilu

Ruin theory with risk proportional to the free reserve and securitization, Insurance Mathematics & Economics, 26 (2000), 59-73, with Th. Siegl

Effective solution of families of Thue equations containing several parameters, Acta Arith., 91 (1999), 147-163, with C. Heuberger

A process with stochastic claim frequency and a linear dividend barrier, Insurance: Mathematics and Economics 24 (1999), 51-65, with Th. Siegl

Thue Equations associated with Ankeny-Brauer-Chowla Number Fields, Journal London Math. Soc. (2) 60 (1999), 1-20, with F. Halter-Koch, G. Lettli and A. Pethö

Asymptotic analysis of a subclass of functional equations, Aequationes Math. vol. 55 (1998), 1/2, 91-105, Birkhäuser with G. Derfel, J.M. Thuswaldner and F. Vogel

Equidistribution and Brownian Motion on the Sierpinski Gasket, Monatsh. Math. 125 (1998) 147-164, with P. Grabner

Sequences, Discrepancies and Applications, Lecture Notes in Mathematics, vol. 1651, Springer (1997), with M. Drmota

Lösungsverfahren eines Risikomodelles bei exponentiell fallender Schadensverteilung, Mitt. der Vereinigung Schweizer Versicherungsmath. 1 (1996) 95-118, with Th. Siegl

Quasi-Monte-Carlo Methods and the Dispersion of Point Sequences, Journal for Mathematical and Computer Modeling, 23 (1996), 9-23, with G. Rothe

Odometers and systems of numeration, Acta Arith., 70 (1995), 103-123, with P. Grabner and P. Liardet

Spherical Designs, Discrepancy and Numerical Integration, Math. Comp. Vol. 60 / 201 (1993), 327-336, with P. Grabner

Uniform Distribution Preserving Maps, Acta Arith. 60 (1991), 177-189, with R. Winkler

Deviations from uniformity in random strings, Probability Th. and Rel. Fields, 80 (1988), 139-150, with P. Flajolet and P. Kirschenhofer

Ein metrischer Satz über vollständig gleichverteilte Folgen, Acta Arith. 48 (1987), 197-207

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My Family

Philipp und Sophie im Gebirge (2002):

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:

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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)

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