Research output per year
Research output per year
Research output
- 21 Article
- 21 results
Search results
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2024
On the distribution of partial quotients of reduced fractions with fixed denominator
Aistleitner, C., Borda, B. & Hauke, M., Feb 2024, In: Transactions of the American Mathematical Society. 377, 2, p. 1371-1408 38 p.Research output: Contribution to journal › Article › peer-review
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Optimal and typical L2 discrepancy of 2-dimensional lattices
Borda, B., 2024, (Accepted/In press) In: Annali di Matematica Pura ed Applicata.Research output: Contribution to journal › Article › peer-review
Open Access -
Pointwise and correlation bounds on Dedekind sums over small subgroups
Borda, B., Munsch, M. & Shparlinski, I. E., Jun 2024, In: Research in Number Theory. 10, 2, 28.Research output: Contribution to journal › Article › peer-review
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Riesz energy, L2 discrepancy, and optimal transport of determinantal point processes on the sphere and the flat torus
Borda, B., Grabner, P. & Matzke, R. W., Apr 2024, In: Mathematika. 70, 2, e12245.Research output: Contribution to journal › Article › peer-review
Open Access -
2023
Empirical measures and random walks on compact spaces in the quadratic Wasserstein metric
Borda, B., 2023, In: Annales de l'institut Henri Poincare (B) Probability and Statistics. 59, 4, p. 2017-2035 19 p.Research output: Contribution to journal › Article › peer-review
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Limit Laws of Maximal Birkhoff Sums for Circle Rotations via Quantum Modular Forms
Borda, B., 1 Nov 2023, In: International Mathematics Research Notices. 2023, 22, p. 19340-19389 50 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Maximizing Sudler products via Ostrowski expansions and cotangent sums
Aistleitner, C. & Borda, B., 2023, In: Algebra and Number Theory. 17, 3, p. 667-717 51 p.Research output: Contribution to journal › Article › peer-review
Open Access -
On the metric theory of approximations by reduced fractions: A quantitative Koukoulopoulos-Maynard theorem
Aistleitner, C., Borda, B. & Hauke, M., 3 Feb 2023, In: Compositio Mathematica. 159, 2, p. 207-231 25 p.Research output: Contribution to journal › Article › peer-review
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Random walks on the circle and Diophantine approximation
Berkes, I. & Borda, B., Aug 2023, In: Journal of the London Mathematical Society. 108, 2, p. 409-440 32 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2022
Quantum invariants of hyperbolic knots and extreme values of trigonometric products
Aistleitner, C. & Borda, B., Oct 2022, In: Mathematische Zeitschrift. 302, 2, p. 759-782 24 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2021
Berry-Esseen smoothing inequality for the Wasserstein metric on compact Lie groups
Borda, B., Apr 2021, In: The Journal of Fourier Analysis and Applications. 27, 2, 23 p., 13.Research output: Contribution to journal › Article › peer-review
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Equidistribution of random walks on compact groups
Borda, B., Feb 2021, In: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 57, 1, p. 54-72 19 p.Research output: Contribution to journal › Article › peer-review
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Equidistribution of random walks on compact groups II. The Wasserstein metric
Borda, B., Nov 2021, In: Bernoulli. 27, 4, p. 2598-2623 26 p.Research output: Contribution to journal › Article › peer-review
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On the discrepancy of random subsequences of {nα}, II
Berkes, I. & Borda, B., 2021, In: Acta Arithmetica. 199, 3, p. 303-330 28 p.Research output: Contribution to journal › Article › peer-review
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2019
Bounded error uniformity of the linear flow on the torus
Borda, B., 1 Jun 2019, In: Monatshefte fur Mathematik. 189, 2, p. 221-237 17 p.Research output: Contribution to journal › Article › peer-review
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On the discrepancy of random subsequences of {nα}
Berkes, I. & Borda, B., 1 Jan 2019, In: Acta Arithmetica. 191, 4, p. 383-415 33 p.Research output: Contribution to journal › Article › peer-review
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On the law of the iterated logarithm for random exponential sums
Berkes, I. & Borda, B., 1 May 2019, In: Transactions of the American Mathematical Society. 371, 5, p. 3259-3280 22 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
2018
Berry–Esseen Bounds and Diophantine Approximation
Berkes, I. & Borda, B., 1 Jun 2018, In: Analysis Mathematica. 44, 2, p. 149-161 13 p.Research output: Contribution to journal › Article › peer-review
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Lattice Points in Algebraic Cross-polytopes and Simplices
Borda, B., Jul 2018, In: Discrete & Computational Geometry. 60, 1, p. 145-169 25 p.Research output: Contribution to journal › Article › peer-review
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2017
On the distribution of the van der Corput sequence in arbitrary base
Borda, B., Aug 2017, In: Monatshefte fur Mathematik. 183, 4, p. 563-586 24 p.Research output: Contribution to journal › Article › peer-review
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On the theorem of Davenport and generalized Dedekind sums
Borda, B., Mar 2017, In: Journal of Number Theory. 172, p. 1-20 20 p.Research output: Contribution to journal › Article › peer-review