Robert F. Tichy | Academic Influence

Robert F. Tichy's AcademicInfluence.com Rankings

Robert F. Tichy

Mathematics

#5243

World Rank

#7396

Historical Rank

Combinatorics

#89

World Rank

#96

Historical Rank

Number Theory

#191

World Rank

#248

Historical Rank

Measure Theory

#3099

World Rank

#3673

Historical Rank

mathematics Degrees

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Mathematics

Robert F. Tichy's Degrees

PhD Mathematics University of Vienna

Why Is Robert F. Tichy Influential?

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According to Wikipedia, Robert Franz Tichy is an Austrian mathematician and professor at Graz University of Technology. He studied mathematics at the University of Vienna and finished 1979 with a Ph.D. thesis on uniform distribution under the supervision of Edmund Hlawka. He received his habilitation at TU Wien in 1983. Currently he is a professor at the Institute for Analysis and Number Theory at TU Graz. Previous positions include head of the Department of Mathematics and Dean of the Faculty of Mathematics, Physics and Geodesy at TU Graz, President of the Austrian Mathematical Society, and Member of the Board of the FWF, the Austrian Science Foundation.

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Robert F. Tichy's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Sequences, Discrepancies and Applications (1997) (759)
FIBONACCI NUMBERS OF GRAPHS: II (1983) (162)
The Diophantine equation f(x) = g(y) (2000) (160)
Mellin Transforms and Asymptotics: Digital Sums (1994) (143)
Odometers and systems of numeration (1995) (84)
Contributions to digit expansions with respect to linear recurrences (1990) (69)
Stochastical approximation of convex bodies (1985) (64)
Quasi-Monte Carlo Methods for Numerical Integration: Comparison of Different Low Discrepancy Sequences (1996) (60)
On the distribution of dividend payments and the discounted penalty function in a risk model with linear dividend barrier (2005) (57)
Generalized Zeckendorf expansions (1994) (50)
Quasi-Monte-Carlo methods and the dispersion of point sequences (1996) (48)
On digit expansions with respect to linear recurrences (1989) (48)
Spherical designs, discrepancy and numerical integration (1993) (44)
Diophantine Equations and Bernoulli Polynomials (2002) (44)
Deviations from uniformity in random strings (1988) (36)
Combinatorial and Arithmetical Properties of Linear Numeration Systems (2002) (36)
Graphs, partitions and Fibonacci numbers (2007) (34)
A process with stochastic claim frequency and a linear dividend barrier (1999) (33)
On a gamma series expansion for the time-dependent probability of collective ruin (2001) (32)
On the Moments of the Sum-of-Digits Function (1993) (32)
Quasi-Monte Carlo algorithms for unbounded, weighted integration problems (2004) (31)
Normality of numbers generated by the values of entire functions (2008) (30)
An extension of Minkowski's singular function (1995) (30)
α-expansions, linear recurrences, and the sum-of-digits function (1991) (30)
Empirical processes in probabilistic number theory: the LIL for the discrepancy of (nk!) mod 1 (2006) (29)
Diophantine Equations for Second‐Order Recursive Sequences of Polynomials (2001) (28)
Complete solution of parametrized Thue equations (1998) (27)
Corrigendum to “generalized Zeckendorf expansions” (1994) (26)
Fractal properties of number systems (2001) (25)
A Central Limit Theorem For Latin Hypercube Sampling With Dependence And Application To Exotic Basket Option Pricing (2012) (24)
Simulation methods in ruin models with non-linear dividend barriers (2003) (24)
Fibonacci Numbers of Graphs III: Planted Plane Trees (1986) (23)
Equidistribution and Brownian motion on the Sierpiński gasket (1998) (22)
QMC techniques for CAT bond pricing * (2004) (21)
On the distribution of digits in Cantor representations of integers (1984) (20)
Diophantine m-tuples for linear polynomials (2002) (20)
Thomas' Family of Thue Equations Over Imaginary Quadratic Fields (2002) (20)
Units generating the ring of integers of complex cubic fields (2007) (20)
Inequalities for the gamma function with applications to permanents (1996) (20)
The additive unit structure of purely quartic complex fields (2008) (19)
Empirical processes in probabilistic number theory: the LIL for the discrepancy of $(n\sb k\omega)\bmod1$ (2006) (18)
Waring’s problem with digital restrictions (2005) (17)
Ergodic properties of $\beta $-adic Halton sequences (2013) (17)
Uniform distribution of prime powers and sets of recurrence and van der Corput sets in ℤk (2013) (17)
On permutations of Hardy-Littlewood-Pólya sequences (2011) (16)
Octahedrons with Equally Many Lattice Points (2000) (16)
On Two-Parametric Quartic Families of Diophantine Problems (1998) (16)
Extremal Problems for Topological Indices in Combinatorial Chemistry (2005) (16)
On the law of the iterated logarithm for permuted lacunary sequences (2012) (16)
Thue Equations Associated with Ankeny–Brauer–Chowla Number Fields (1999) (16)
Topological algebras of functions of bounded variation I (1989) (15)
Perfect powers in linear recurring sequences (2003) (15)
Pair correlations and $U$-statistics for independent and weakly dependent random variables (2001) (15)
$S$-unit equations, linear recurrences and digit expansions (1993) (15)
Uniform distribution preserving mappings (1991) (14)
Diophantine equations involving general Meixner and Krawtchouk polynomials (2005) (14)
Additive unit representations in rings over global fields - A survey (2011) (13)
On the asymptotic behavior of weakly lacunary series (2011) (13)
Diophantine equations for classical continuous orthogonal polynomials (2003) (13)
Random points in the cube and on the sphere with applications to numerical analysis (1990) (13)
Algebraic number theory and diophantine analysis : proceedings of the international conference, held in Graz, Austria, August 30 to September 5, 1998 (2000) (12)
Solution of a problem of Knuth on complete uniform distribution of sequences (1985) (12)
On the quantitative unit sum number problem—an application of the subspace theorem (2008) (12)
On Weyl products and uniform distribution modulo one (2016) (12)
On quantitative aspects of the unit sum number problem (2009) (12)
Regular maps in generalized number systems (2000) (12)
A CONTRIBUTION TO THE ANALYSIS OF IN SITU PERMUTATION (2003) (12)
On the Diophantine Equation Gn(x) = Gm(P(x)) (2002) (12)
Finitely additive measures on groups and rings (1999) (12)
On the diophantine equation Gn(x) = Gm(P(x)): Higher-order recurrences (2003) (11)
Associativity of recurrence multiplication (1994) (11)
Digital blocks in linear numeration systems (1999) (11)
On uniform distribution of double sequences (1981) (11)
QMC Methods for the solution of delay differential equations (2003) (11)
Isometries of spaces of compact or compact convex subsets of metric manifolds (1982) (11)
Lp-discrepancy and statistical independence of sequences (1999) (10)
Fractal digital sums and codes (2009) (10)
Some number-theoretical properties of generalized sum-of-digit functions (1989) (9)
Distribution of the ratios of the terms of a second order linear recurrence (1986) (9)
An inequality for differences of distribution functions (1990) (9)
Metric Discrepancy Results for Sequences {n k x} and Diophantine Equations (2008) (9)
Dependence in Probability, Analysis and Number Theory (2010) (9)
Lacunary sequences and permutations (2013) (9)
Diophantine equations for Morgan-Voyce and other modified orthogonal polynomials (2008) (9)
Ruin theory with risk proportional to the free reserve and securitization (2000) (8)
On permutations of lacunary series (2013) (8)
Computable Absolutely Pisot Normal Numbers (2016) (8)
Functional composition of polynomials: indecomposability, Diophantine equations and lacunary polynomials (2015) (8)
Construction of normal numbers via generalized prime power sequences (2013) (8)
A discrepancy problem with applications to linear recurrences, II (1989) (8)
A uniform law of the iterated logarithm for brownian motion on compact Riemannian manifolds (1989) (8)
On the least significant digit of Zeckendorf expansions (1996) (8)
Uniform distribution of recurrences in Dedekind domains (1985) (7)
On the discrepancy of some special sequences (1987) (7)
Polynomial discrepancy of sequences (1997) (7)
Spectral disjointness of dynamical systems related to some arithmetic functions (2005) (7)
Measure density for set decompositions and uniform distribution (2015) (7)
ADDITIVE UNIT REPRESENTATIONS IN GLOBAL FIELDS - A SURVEY (2011) (7)
Discrepancies of Point Sequences on the Sphere and Numerical Integration (2011) (7)
Diophantine approximation : festschrift for wolfgang schmidt (2008) (7)
Effective solution of families of Thue equations containing several parameters (1999) (7)
Remarks on statistical independence of sequences (1994) (7)
On a variant of Pillai's problem with transcendental numbers (2020) (7)
On the Asymptotic Behaviour of the Zeros of the Solutions of a Functional-differential Equation with Rescaling (2018) (6)
On the diophantine equation G n(x) = G m(y) WITH Q(x, y) = 0 (2008) (6)
On the Indecomposability of Polynomials (2005) (6)
Elementary Inequalities in Hypercomplex Numbers (1998) (6)
C-Uniform Distribution on Compact Metric Spaces (1988) (6)
Three Examples of Triangular Arrays with Optimal Discrepancy and Linear Recurrences (1998) (6)
Discrepancies of point sequences on the Sierpiński carpet (2003) (6)
Arithmetic average options in the hyperbolic model (2003) (6)
Number-Theoretic Analysis (1990) (6)
An Erdős-Kac theorem for systems of q-additive functions (2000) (6)
On functions of bounded variation† (2015) (5)
Diophantine equations in separated variables (2017) (5)
Distribution functions, extremal limits and optimal transport (2015) (5)
On uniform distribution of subsequences (1986) (5)
Distribution problems in Dedekind domains and submeasures (1994) (5)
Pseudorandom numbers and entropy conditions (2007) (5)
Multivariate Approximation Methods for the Pricing of Catastrophe—Linked Bonds (2003) (4)
Algorithmic generation of molecular graphs with large Merrifield-Simmons index. ∗ (2008) (4)
A NOTE ON THE CORRELATION COEFFICIENT OF ARITHMETIC FUNCTIONS (2003) (4)
Average Case Analysis of Numerical Integration (1999) (4)
On the asymptotic distribution of the powers of $S \times S$-matrices (1982) (4)
MULTIDIMENSIONAL VAN DER CORPUT SETS AND SMALL FRACTIONAL PARTS OF POLYNOMIALS (2016) (4)
Some distribution properties of 0,1-sequences (1985) (4)
On the discrepancy of sequences associated with the sum-of-digits function (1987) (4)
Thomas’ Family of Thue Equations over Imaginary Quadratic Fields, II (2006) (4)
Uniform distribution and diophantine inequalities (1985) (4)
Spherical Dispersion with an Application to Polygonal Approximation of Curves (1995) (4)
Metric Theorems for Distribution Measures of Pseudorandom Sequences (2002) (4)
Discrepancy of point sequences on fractal sets (2000) (4)
Deviations from normality in random strings (1986) (4)
Random polytopes on the torus (1985) (3)
Polynomial functions over monoids (1979) (3)
A Note on Riess Means and Well Distribution (1988) (3)
Integral Equations, Quasi-Monte Carlo Methods and Risk Modeling (2017) (3)
Discrepancy of sequences (1997) (3)
Fast gaussian random number generation using linear transformations (1997) (3)
A criterion for the uniform distribution of sequences in compact metric spaces (1987) (3)
Asymptotic analysis of a class of functional equations and applications (1993) (3)
Asymptotic analysis of a class of functional equations (1998) (2)
Completely uniformly distributed sequences of matrices (1990) (2)
An Extremal Problem in Uniform Distribution Theory (2015) (2)
Entropy conditions for subsequences of random variables with applications to empirical processes (2008) (2)
Discrepancy of Sequences in Discrete Spaces (1989) (2)
BAIRE RESULTS OF MULTISEQUENCES (2009) (2)
On the asymptotic distribution of the powers of S S-matrices (2019) (2)
Dynamical Systems and Uniform Distribution of Sequences (2015) (2)
CONTRIBUTED TALKS (2019) (2)
An improved estimate on the distribution mod 1 of powers of real matrices (1983) (2)
On sums of S-integers of bounded norm (2013) (2)
Constrained Triangulations, Volumes of Polytopes, and Unit Equations (2016) (2)
$C$-uniform distribution of entire functions (1988) (2)
Measurable Sequences. (2018) (2)
Weak uniform distribution of un+1=aun+b in Dedekind domains (1988) (2)
The Kadec-Pełczyński theorem in Lp, 1 ≤ p < 2 (2016) (2)
Lacunary Series and Stable Distributions (2017) (2)
Linear Recursive Odometers and Beta-Expansions (2016) (1)
On the Asymptotic Distribution of Linear Recurrence Sequences (1986) (1)
A Central Limit Theorem for Integer Partitions into Small Powers (2022) (1)
QMC methods for the solution of differential equations with multiple delayed arguments (2002) (1)
On the system $f(nx)$ and probabilistic number theory (2013) (1)
Adaptive search in quasi-Monte-Carlo optimization (1995) (1)
On uniform distribution of sequences (1987) (1)
On permutations of lacunary series (Functions in Number Theory and Their Probabilistic Aspects) (2012) (1)
The Diophantine equation $\alpha\binom{x}{m}+\beta\binom{y}{n}=\gamma$ (2004) (1)
On the regularity of primes in arithmetic progressions (2016) (1)
Asymptotic distribution of functions on compact homogeneous spaces (1988) (1)
MAPinsure - A MAPLE Package for Life Insurance (1996) (1)
Numerical analysis of Jacobi series – A quasi-Monte-Carlo approach (1998) (1)
On permutation-invariance of limit theorems (2015) (1)
Distribution properties of continuous curves (1989) (1)
Diophantine properties of digital expansions (1998) (1)
Correction to: On a variant of Pillai’s problem with transcendental numbers (2022) (0)
On Weyl products and uniform distribution modulo one (2017) (0)
The Diophantine equation alpha(x choose m)+beta(y choose n)=gamma (2004) (0)
Octahedrons with equally many lattice points and generalizations (2006) (0)
On the asymptotic behaviour of the zeros of solutions of one functional-differential equation with rescaling (2016) (0)
A note on the correlation coeffcient of arithmetic functions (2003) (0)
Polynomial functions over finite monoids (1981) (0)
AO. Univ. Prof. MAG. Dr. Manfred Kühleitner (1967–2022) An Obituary (2022) (0)
THE DISCREPANCY OF SEQUENCES AND APPLICATIONS : Abstract of a survey lecture (1988) (0)
A remark on polynomial functions over finite monoids (1981) (0)
On the Diophantine equation $U_n-b^m = c$ (2022) (0)
Diophantine equations in separated variables (2017) (0)
Finitely additive measures on groups and ringsSophie (2007) (0)
Diophantine equations and the monodromy groups (2016) (0)
Measure density for set decompositions and uniform distribution (2015) (0)
Baire results of multi-sequences (2010) (0)
Some new results in summability theory (1990) (0)
On asymptotic distribution modulo a subdivision (2022) (0)
General concepts of uniform distribution (1997) (0)
Large null sets in metric spaces (2005) (0)
Integral equations , quasi-Monte Carlo methods and risk modelling Dedicated to the 80 th anniversary of Ian (2018) (0)
Connections Between Transcendence Degree and Diophantine Estimates (2019) (0)
Contributions to uniformly distributed functions. I, Discrepancy of fractal sets (1991) (0)
The Kadec-Pe{\l} czynski theorem in $L^p$, $1\le p<2$ (2015) (0)
Correction to: On a variant of Pillai’s problem with transcendental numbers (2022) (0)
A note on gray code and odd-even merge (1987) (0)
On the Shorey–Tijdeman Diophantine equation involving terms of Lucas sequences (2021) (0)
Distribution of the ratios of the terms of a linear recurrence (1989) (0)
On the Pillai-Tijdeman Diophantine equation involving terms of Lucas sequences (2021) (0)
Discrepancy of Point Sequences on Fractal (2007) (0)
Quadratic algebraic numbers with finite b‐adic expansion on the unit circle and their distribution (2004) (0)
Multidimensional Heilbronn sets (2016) (0)
Two Distribution Problems for Polynomials (1993) (0)
Stability of a class of non-uniform random number generators (1994) (0)
On the law of the iterated logarithm for permuted lacunary sequences (2012) (0)
Lacunary sequences in analysis, probability and number theory (2023) (0)
Uniform distribution of prime powers and sets of recurrence and van der Corput sets in ℤk (2014) (0)
Number Theoretic Analysis Seminar, Vienna, 1988-89 (1991) (0)
Dedicated to Professor Helmut Prodinger on the occasion of his 50th birthday (2006) (0)

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