Výsledky vyhľadávania - "Aistleitner, Christoph"

Diophantine conditions in the law of the iterated logarithm for lacunary systems.

Autori: Aistleitner, Christoph Frühwirth, Lorenz Prochno, Joscha

Zdroj: Probability Theory & Related Fields; Jun2025, Vol. 192 Issue 1, p545-574, 30p

Predmety: LIMIT theorems, CENTRAL limit theorem, ARITHMETIC, LINEAR equations, INDEPENDENT variables

Diophantine conditions in the law of the iterated logarithm for lacunary systems

Autori: Aistleitner, Christoph Frühwirth, Lorenz Prochno, Joscha

Zdroj: Probab Theory Relat Fields

Predmety: Mathematics - Number Theory, Probability (math.PR), FOS: Mathematics, Number Theory (math.NT), 42A55 (Primary) 60F15, 11D04 (Secondary) 11D45, 0101 mathematics, 01 natural sciences, Mathematics - Probability, Article

Prístupová URL adresa: http://arxiv.org/abs/2310.20257

A sharp threshold for arithmetic effects on the tail probabilities of lacunary sums

Autori: Aistleitner, Christoph Fruehwirth, Lorenz Prochno, Joscha

Predmety: Number Theory, Probability, 42A55 (Primary), 60F15, 11D04 (Secondary) 11D45

Relation: http://arxiv.org/abs/2511.15595

Dostupnosť: http://arxiv.org/abs/2511.15595

On the order of magnitude of Sudler products

Autori: Aistleitner, Christoph Technau, Niclas Zafeiropoulos, Agamemnon

Zdroj: American Journal of Mathematics

Predmety: Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT)

Prístupová URL adresa: http://arxiv.org/abs/2002.06602

Triple correlation and long gaps in the spectrum of flat tori

Autori: Aistleitner, Christoph Blomer, Valentin Radziwiłł, Maksym

Predmety: billard, flat torus, long gaps, spectrum, Berry-Tabor conjecture, Poisson statistics, pair correlation, triple correlation, Diophantine inequalities

Relation: http://arxiv.org/abs/1809.07881v1; https://authors.library.caltech.edu/communities/caltechauthors/; https://doi.org/10.48550/arXiv.1809.07881v1; eprintid:110512

Dostupnosť: https://doi.org/10.48550/arXiv.1809.07881v1

Gap statistics and higher correlations for geometric progressions modulo one.

Autori: Aistleitner, Christoph Baker, Simon Technau, Niclas a ďalší

Zdroj: Mathematische Annalen; Feb2023, Vol. 385 Issue 1/2, p845-861, 17p

Gap statistics and higher correlations for geometric progressions modulo one

Autori: Aistleitner, Christoph Baker, Simon Technau, Niclas a ďalší

Zdroj: Mathematische Annalen. 385:845-861

Predmety: Mathematics - Number Theory, 0103 physical sciences, FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, 01 natural sciences

Prístupová URL adresa: http://arxiv.org/pdf/2010.10355
http://arxiv.org/abs/2010.10355

OnWeyl products and uniform distribution modulo one.

Autori: Aistleitner, Christoph Larcher, Gerhard Pillichshammer, Friedrich a ďalší

Zdroj: Monatshefte für Mathematik; Mar2018, Vol. 185 Issue 3, p365-395, 31p

On the distribution of partial quotients of reduced fractions with fixed denominator.

Autori: Aistleitner, Christoph Borda, Bence Hauke, Manuel

Zdroj: Transactions of the American Mathematical Society; Feb2024, Vol. 377 Issue 2, p1371-1408, 38p

Predmety: DEDEKIND sums, CONTINUED fractions, DIOPHANTINE approximation

Triple correlation and long gaps in the spectrum of flat tori.

Autori: Aistleitner, Christoph Blomer, Valentin Radziwiłł, Maksym

Zdroj: Journal of the European Mathematical Society (EMS Publishing); 2024, Vol. 26 Issue 1, p41-74, 34p

Predmety: EIGENVALUES, DIOPHANTINE analysis, STATISTICAL correlation, SPECTRUM analysis, MATHEMATICAL formulas

Difference Sets and the Metric Theory of Small Gaps.

Autori: Aistleitner, Christoph El-Baz, Daniel Munsch, Marc

Zdroj: IMRN: International Mathematics Research Notices; Mar2023, Vol. 2023 Issue 5, p3848-3884, 37p

Predmety: DIFFERENCE sets, SET theory, BAND gaps, EIGENVALUES, INTEGERS

On the metric theory of approximations by reduced fractions: a quantitative Koukoulopoulos–Maynard theorem.

Autori: Aistleitner, Christoph Borda, Bence Hauke, Manuel

Zdroj: Compositio Mathematica; Feb2023, Vol. 159 Issue 2, p207-231, 25p

Predmety: APPROXIMATION theory, DIOPHANTINE approximation, NUMBER theory, INTEGERS, LOGICAL prediction

Large deviation principles for lacunary sums.

Autori: Aistleitner, Christoph Gantert, Nina Kabluchko, Zakhar a ďalší

Zdroj: Transactions of the American Mathematical Society; Jan2023, Vol. 376 Issue 1, p507-553, 47p

Predmety: LARGE deviations (Mathematics), DEVIATION (Statistics), CENTRAL limit theorem, DIOPHANTINE equations, PROBABILITY theory, RANDOM variables, INDEPENDENT variables, LEBESGUE measure

Tusn\'ady's problem, the transference principle, and non-uniform QMC sampling

Autori: Aistleitner, Christoph Bilyk, Dmitriy Nikolov, Aleksandar

Témy: Mathematics - Combinatorics, Computer Science - Computational Complexity, Mathematics - Numerical Analysis, Mathematics - Probability, text

URL: http://arxiv.org/abs/1703.06127

Quantum invariants of hyperbolic knots and extreme values of trigonometric products.

Autori: Aistleitner, Christoph Borda, Bence

Zdroj: Mathematische Zeitschrift; Oct2022, Vol. 302 Issue 2, p759-782, 24p

Large values of L-functions from the Selberg class.

Autori: Aistleitner, Christoph Pańkowski, Łukasz

Zdroj: Journal of Mathematical Analysis & Applications. Feb2017, Vol. 446 Issue 1, p345-364. 20p.

Predmety: *L-functions, *DIOPHANTINE approximation, *MATHEMATICS theorems, *MATHEMATICAL bounds, *ZETA functions

A pair correlation problem, and counting lattice points with the zeta function.

Autori: Aistleitner, Christoph El-Baz, Daniel Munsch, Marc

Zdroj: Geometric & Functional Analysis; Jun2021, Vol. 31 Issue 3, p483-512, 30p

Predmety: REAL numbers, INTEGERS, ARITHMETIC

On the pair correlations of powers of real numbers.

Autori: Aistleitner, Christoph Baker, Simon

Zdroj: Israel Journal of Mathematics; Apr2021, Vol. 242 Issue 1, p243-268, 26p

On the law of the iterated logarithm for trigonometric series with bounded gaps

Autori: Aistleitner, Christoph Fukuyama, Katusi

Zdroj: Probability Theory and Related Fields. 154:607-620

Predmety: Mathematics - Number Theory, Mathematics - Classical Analysis and ODEs, Probability (math.PR), Classical Analysis and ODEs (math.CA), FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, 01 natural sciences, Mathematics - Probability, 60F15, 11K38, 42A32

Prístupová URL adresa: http://www.lib.kobe-u.ac.jp/repository/90003852.pdf
http://arxiv.org/pdf/1403.1629.pdf
http://arxiv.org/abs/1403.1629
https://link.springer.com/article/10.1007%2Fs00440-011-0378-z
https://jtnb.centre-mersenne.org/item/JTNB_2016__28_2_391_0/
https://rd.springer.com/article/10.1007/s00440-011-0378-z
https://jtnb.centre-mersenne.org/item/10.5802/jtnb.945.pdf
https://graz.pure.elsevier.com/en/publications/on-the-law-of-the-iterated-logarithm-for-trigonometric-series-wit-2
http://ui.adsabs.harvard.edu/abs/2014arXiv1403.1629A/abstract
https://graz.pure.elsevier.com/de/publications/on-the-law-of-the-iterated-logarithm-for-trigonometric-series-wit
https://rd.springer.com/article/10.1007/s00440-011-0378-z
https://link.springer.com/10.1007%2Fs00440-011-0378-z

On large values of $L(��,��)$

Autori: Aistleitner, Christoph Mahatab, Kamalakshya Munsch, Marc a ďalší

Predmety: 11M06, FOS: Mathematics, Number Theory (math.NT)