József Beck
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Hungarian mathematician
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József Beckmathematics Degrees
Mathematics
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Combinatorics
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#61
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Measure Theory
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Mathematics
József Beck's Degrees
- PhD Mathematics Eötvös Loránd University
Why Is József Beck Influential?
(Suggest an Edit or Addition)According to Wikipedia, József Beck is a Harold H. Martin Professor of Mathematics at Rutgers University. His contributions to combinatorics include the partial colouring lemma and the Beck–Fiala theorem in discrepancy theory, the algorithmic version of the Lovász local lemma, the two extremes theorem in combinatorial geometry and the second moment method in the theory of positional games, among others.
József Beck's Published Works
Published Works
- An Algorithmic Approach to the Lovász Local Lemma. I (1991) (286)
- "Integer-making" theorems (1981) (243)
- Combinatorial Games: Tic-Tac-Toe Theory (2008) (210)
- Irregularities of distribution. I (1987) (166)
- On size Ramsey number of paths, trees, and circuits. I (1983) (165)
- Random and Quasi-Random Point Sets (1998) (161)
- On the lattice property of the plane and some problems of Dirac, Motzkin and Erdős in combinatorial geometry (1983) (153)
- Discrepancy Theory (1996) (139)
- Roth’s estimate of the discrepancy of integer sequences is nearly sharp (1981) (119)
- On 3-chromatic hypergraphs (1978) (118)
- Irregularities of Distribution by Jozsef Beck (1987) (111)
- Sums of distances between points on a sphere — an application of the theory of irregularities of distribution to discrete Geometry (1984) (87)
- Remarks on positional games. I (1982) (87)
- Flat Polynomials on the unit Circle—Note on a Problem of Littlewood (1991) (65)
- Probabilistic diophantine approximation, I. Kronecker sequences (1994) (62)
- Some upper bounds in the theory of irregularities of distribution (1984) (58)
- A two-dimensional van Aardenne-Ehrenfest theorem in irregularities of distribution (1989) (56)
- Van der waerden and ramsey type games (1981) (56)
- Balanced two-colorings of finite sets in the square I (1981) (53)
- Random Graphs and Positional Games on the Complete Graph (1985) (50)
- Positional Games and the Second Moment Method (2002) (50)
- Deterministic Graph Games and a Probabilistic Intuition (1994) (48)
- Integral approximation sequences (1984) (39)
- Randomness of the square root of 2 and the Giant Leap, Part 1 (2010) (38)
- Note on Irregularities of Distribution II (1990) (35)
- Geometric discrepancy theory and uniform distribution (1997) (34)
- Variations on a Game (1982) (31)
- What Is “Probabilistic” Diophantine Approximation? (2014) (30)
- On a problem of K.F. Roth concerning irregularities of point distribution (1983) (26)
- On the discrepancy of convex plane sets (1988) (25)
- Probabilistic Diophantine Approximation: Randomness in Lattice Point Counting (2014) (24)
- Randomness of the square root of 2 and the giant leap, part 2 (2011) (24)
- Ramsey games (2002) (24)
- Positional Games (1981) (21)
- Randomness in lattice point problems (2001) (20)
- Probabilistic Diophantine Approximation (2014) (20)
- Inevitable Randomness in Discrete Mathematics (2009) (20)
- FROM KHINCHIN’S CONJECTURE ON STRONG UNIFORMITY TO SUPERUNIFORM MOTIONS (2015) (17)
- A Remark Concerning Arithmetic Progressions (1980) (17)
- On the Uniform Distribution of Inverses modulo n (2002) (16)
- Balanced two-colorings of finite sets in the cube (1989) (16)
- Geometric Discrepancy Theory Anduniform Distribution (2004) (15)
- On a combinatorial problem of P. Erdös and L. Lovász (1977) (15)
- Lower bounds on the approximation of the multivariate empirical process (1985) (15)
- Irregularities of point distribution relative to convex polygons II (1993) (15)
- Irregularities of Distribution, Ii (1988) (15)
- IRREGULARITIES OF POINT DISTRIBUTION RELATIVE TO HALF-PLANES I (1993) (14)
- Foundations of positional games (1996) (14)
- The modulus of polynomials with zeros on the unit circle: A problem of Erdös (1991) (13)
- Balancing matrices with line shifts (1983) (13)
- Unit Distances (1984) (12)
- From Probabilistic Diophantine Approximation to Quadratic Fields (1998) (11)
- Well-distributed 2-colorings of integers relative to long arithmetic progressions (1984) (11)
- Deterministic Approach to the Kinetic Theory of Gases (2010) (9)
- A Tribute to Paul Erdős: Almost collinear triples among N points on the plane (1990) (9)
- Super-Uniformity of The Typical Billiard Path (2010) (8)
- Efficient proper 2-coloring of almost disjoint hypergraphs (2002) (7)
- Balancing families of integer sequences (1981) (7)
- Lattice Point Problems: Crossroads of Number Theory, Probability Theory and Fourier Analysis (2004) (7)
- There is no fast method for finding monochromatic complete subgraphs (1983) (7)
- Diophantine approximation and quadratic fields (1998) (6)
- Quasi-Random 2-Colorings of Point Sets (1991) (6)
- New results in the theory of irregularities of point distributions (1984) (5)
- A Fourier transform approach (1987) (5)
- Strong Uniformity and Large Dynamical Systems (2017) (5)
- Collecting proofs for the SLG conjecture (2009) (4)
- Siegel’s Lemma is sharp (2017) (4)
- Strong uniformity (2014) (4)
- On a Geometric Problem of Erdös, Sárkozy, and Szermerédi Concerning Vector Sums (1983) (4)
- The Hales – Jewett number is exponential — game-theoretic consequences (2009) (4)
- On a generalization of Kaplansky's game (1982) (4)
- Irregularities of distribution: Preface (1987) (4)
- On a lattice point problem of L. Moser II (1988) (4)
- On a problem of W. M. Schmidt concerning one-sided irregularities of point distributions (1989) (3)
- DIMENSION-FREE UNIFORMITY WITH APPLICATIONS, I (2017) (3)
- On a lattice point problem of L. Moser. I (1988) (3)
- Note on irregularities of distribution (1986) (3)
- Lattice point counting and the probabilistic method (2010) (2)
- 13 GEOMETRIC DISCREPANCY THEORY AND UNIFORM DISTRIBUTION (2016) (2)
- Fourier analysis and the kinetic theory of gases (2012) (2)
- Surveys in combinatorics 1985: Irregularities of distribution and combinatorics (1985) (1)
- Pell equation and randomness (2015) (1)
- Parallel Matching Complexity of Ramsey's Theorem (1990) (1)
- Surplus of Graphs and the Lovász Local Lemma (2008) (1)
- Equiprobability postulate with constraints (endgame policy) (2009) (0)
- Irregularities of distribution: Further applications of the Fourier transform method (1987) (0)
- Games, Randomness and Algorithms (2013) (0)
- Irregularities of distribution: List of notation (1987) (0)
- Combinatorial Games: ADVANCED WEAK WIN – GAME-THEORETIC HIGHER MOMENT (2008) (0)
- Combinatorial Games: What is the Biased Meta-Conjecture, and why is it so difficult? (2008) (0)
- More on Randomness (2014) (0)
- Irregularities of distribution: Miscellaneous questions (1987) (0)
- Combinatorial Games: A formal treatment of Positional Games (2008) (0)
- Combinatorial Games: BASIC POTENTIAL TECHNIQUE – GAME-THEORETIC FIRST AND SECOND MOMENTS (2008) (0)
- Arithmetic Progressions and Tic-Tac-Toe Games (2008) (0)
- Proof of theorem 1: Combining the variance with an exponential sum (2009) (0)
- Dictionary of the phrases and concepts (2008) (0)
- Proof of theoem 2: The upper bound (2009) (0)
- Pell’s Equation, Superirregularity and Randomness (2014) (0)
- More Applications of Theorem 4.2 (2017) (0)
- An attempt to save the variance (2009) (0)
- Combinatorial Games: Games and randomness (2008) (0)
- An attempt to prove an effective Siegel theorem--Part One (2013) (0)
- Combinatorial Games: The main result: exact solutions for infinite classes of games (2008) (0)
- Recurrence of inhomogeneous random walks (2017) (0)
- Ramsey theory and games (2009) (0)
- Combinatorial Games: Ramsey Numbers (2008) (0)
- Combinatorial Games: A summary of the book in a nutshell (2008) (0)
- More Results about Randomness and Stability in Equilibrium (2017) (0)
- Exact solutions of games: Understanding via the equiprobability postulate (2009) (0)
- Combinatorial Games: Win vs. Weak Win (2008) (0)
- Collecting data: More randomness in number theory (2009) (0)
- Conclusion (I): More on theorem 1 (2009) (0)
- Combinatorial Games: Self-improving potentials (2008) (0)
- Pell equation and randomness (2015) (0)
- Combinatorial Games: References (2008) (0)
- Irregularities of distribution: Schmidt's work (1987) (0)
- Practice session (II): Connectivity games and more strategies (2009) (0)
- Yet another simplification: Sparse hypergraphs and the surplus (2009) (0)
- Combinatorial Games: Conclusion (2008) (0)
- Combinatorial Games: Preface (2008) (0)
- Combinatorial Games: Advanced decomposition (2008) (0)
- What kind of games (2009) (0)
- Irregularities of distribution: More upper bounds (1987) (0)
- Combinatorial Games: Hales–Jewett Theorem: Shelah's proof (2008) (0)
- Variance, and Its Connection with Quadratic Fields (2014) (0)
- Uniformity of 3-dimensional billiards (2020) (0)
- On two theorems of positional games (2019) (0)
- THE KRONECKER–WEYL EQUIDISTRIBUTION THEOREM AND GEODESICS IN 3-MANIFOLDS (2020) (0)
- Combinatorial Games: Complete list of the Open Problems (2008) (0)
- Threshold clustering and a few bold conjectures (2009) (0)
- Practice session (I): More on Ramsey games and strategies (2009) (0)
- Irregularities of two-colourings of theN×N square lattice (1982) (0)
- From Uniform Distribution to the Time-Evolution of Large Off-Equilibrium Systems (2017) (0)
- Non-Integrable Dynamics (2023) (0)
- Workshop: Analytic Number Theory Table of Contents (2014) (0)
- Irregularities of distribution: References (1987) (0)
- Conclusion (II): Beyond the SLG conjecture (2009) (0)
- Is surplus the right concept? (II) (2009) (0)
- A 'large deviation' phenomenon in discrete geometry, I (1986) (0)
- Combinatorial Games: What kinds of games? A dictionary (2008) (0)
- Combinatorial Games: BigGame–SmallGame Decomposition (2008) (0)
- Working with a game-theoretic partition function (2009) (0)
- Combinatorial Games: Simple applications (2008) (0)
- On a problem of Erdös in the theory of irregularities of distribution (1987) (0)
- Expectation, and Its Connection with Quadratic Fields (2014) (0)
- Recurrence of inhomogeneous random walks (2017) (0)
- Lower bounds – a combinatorial method of Schmidt (1987) (0)
- Equidistribution of Dynamical Systems (2020) (0)
- Laplace and the principle of insufficient reason (2009) (0)
- Lower bounds – Roth's method (1987) (0)
- Collecting data: Apparent randomness of digit sequences (2009) (0)
- A Discrepancy Problem: Balancing Infinite Dimensional Vectors (2017) (0)
- Constraints and threshold clustering (2009) (0)
- On two theorems of positional games (2019) (0)
- Combinatorial Games: An informal introduction to game theory (2008) (0)
- Combinatorial Games: ADVANCED STRONG DRAW – GAME-THEORETIC INDEPENDENCE (2008) (0)
- Combinatorial Games: Game-theoretic lattice-numbers (2008) (0)
- Combinatorial Games: WEAK WIN AND STRONG DRAW (2008) (0)
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