Zoznam pracovníkov MÚ SAV, v. v. i.

Strauch, Oto doc. RNDr., DrSc.

E-mail: oto.strauch@mat.savba.sk
Tel.: 02/ 5751 0416

Medzinárodné projekty

  • Teória čísel, algebra a kryptológia
    Program: Medziakademická dohoda (MAD)
    Doba trvania: 1.1.2012 - 31.12.2014
  • Fuzzy logiky a ich aplikácie
    Program: Medziústavná dohoda
    Doba trvania: 1.1.2011 - 31.12.2013
  • Fuzzy systémy a ich aplikácie
    Program: Medziústavná dohoda
    Doba trvania: 1.1.2010 - 31.12.2012
  • Teória čísel, algebra, kryptológia
    Program: Medziakademická dohoda (MAD)
    Doba trvania: 1.1.2009 - 31.12.2011
  • Quasi-Monte Carlo integrovanie a pseudonáhodné generátory
    Program: Bilaterálne - iné
    Doba trvania: 1.1.2009 - 31.12.2010
  • Teória čísel a jej aplikácie
    Program: Medzivládna dohoda
    Doba trvania: 1.2.2008 - 31.12.2009
  • Výskum v teórie čísel
    Program: Medziústavná dohoda
    Doba trvania: 1.1.2000 - 31.12.2007

Národné projekty

  • Teória čísel a jej aplikácie
    Program: VEGA
    Doba trvania: 1.1.2023 - 31.12.2026
  • Teória čísel a jej aplikácie
    Program: VEGA
    Doba trvania: 1.1.2018 - 31.12.2021
  • Algebraická a pravdepodobnostná teória čísela ich aplikácie
    Program: VEGA
    Doba trvania: 1.1.2014 - 31.12.2017
  • Rozdelenie postupností a ich aplikácie, aditívne miery množín prirodzených čísel
    Program: VEGA
    Doba trvania: 1.1.2012 - 31.12.2015
  • Funkcie zachovávajúce rovnomerné rozdelenie a extrémne hodnoty integrálov cez kopule
    Program: APVV
    Doba trvania: 1.1.2013 - 31.12.2014
  • Rozdelenie postupností a ich aplikácie, aditívne miery množín prirodzených čísel
    Program: VEGA
    Doba trvania: 1.1.2012 - 31.12.2014
  • Teória čísel a jej aplikácie
    Program: VEGA
    Doba trvania: 1.1.2010 - 31.12.2013
  • Rozdelenie postupností a zovšeobecnené hustoty množín prirodzených čísel
    Program: VEGA
    Doba trvania: 1.1.2010 - 31.12.2012
  • Teória čisel a jej aplikácie
    Program: VEGA
    Doba trvania: 1.1.2007 - 1.12.2009

Publikácie

  • STRAUCH, Oto. Duffin-Schaeffer conjecture and some new types of real sequences. In Acta Mathematicae Universitatis Comenianae, 1982, vol. 40-41, s. 233-265. ISSN 0862-9544.
  • STRAUCH, Oto. Two properties of the sequence n.alpha (mod 1). In Acta Mathematica Universitatis Comenianae, 1984, vol. 44/45, s. 67-73. ISSN 0862-9544.
  • PORUBSKÝ, Štefan - ŠALÁT, T. - STRAUCH, Oto. Transformation that preserve uniform distribution. In Acta Arithmetica, 1988, vol. 49, s. 459-479. ISSN 0065-1036.
  • PORUBSKÝ, Štefan - ŠALÁT, Tibor - STRAUCH, Oto. Transformations that preserve uniform distribution. In Acta Arithmetica, 1988, vol. 49, no. 5, p. 459-479. ISSN 0065-1036. Dostupné na internete: <a href="http://matwbn.icm.edu.pl/ksiazki/aa/aa49/aa4953.pdf">http://matwbn.icm.edu.pl/ksiazki/aa/aa49/aa4953.pdf</a>
  • PORUBSKÝ, Š. - ŠALÁT, T. - STRAUCH, Oto. On a class of uniform distributed sequences. In Mathematica Slovaca, 1990, vol. 40, s. 143-170. ISSN 0139-9918.
  • STRAUCH, Oto. L^2 discrepancy. In Mathematica Slovaca, 1994, vol. 44, s. 601-632. ISSN 0139-9918.
  • STRAUCH, Oto. A new moment problem of distribution functions in the unit interval. In Mathematica Slovaca, 1994, vol. 44, no. 2, p. 171-211. ISSN 0139-9918.
  • STRAUCH, Oto. Uniformly maldistributed sequences in a strict sense. In Monatshefte für Mathematik, 1995, vol. 120, no. 2, p. 153-164. ISSN 0026-9255.
  • GRABNER, P.J. - STRAUCH, Oto - TICHY, R.F. Maldistribution in higher dimensions. In Mathematica Panonica, 1997, vol. 8, s. 215-223. ISSN 0865-2090.
  • STRAUCH, Oto. On distribution functions of xi(3/2)(n) mod 1. In Acta Arithmetica, 1997, vol. 81, no. 1, p. 25-35. ISSN 0065-1036.
  • STRAUCH, Oto - TÓTH, J.T. Asymptotic density of A subset of N and density of the ratio set R(A). In Acta Arithmetica, 1998, vol. 87, no. 1, p. 67-78. ISSN 0065-1036.
  • GRABNER, P.J. - STRAUCH, Oto - TICHY, R.F. L-p-discrepancy and statistical independence of sequences. In Czechoslovak Mathematical Journal, 1999, vol. 49, s. 97-110. ISSN 0011-4642.
  • KOSTYRKO, P. - MAČAJ, M. - ŠALÁT, T. - STRAUCH, Oto. On statistical limit points. In Proceedings of the American Mathematical Society, 2001, vol. 129, p. 2647-2654. ISSN 0002-9939.
  • STRAUCH, Oto - TÓTH, J.T. Distribution functions of ratio sequences. In Publicationes mathematicae, 2001, vol. 58, no. 4, p. 751-778. ISSN 0033-3883.
  • STRAUCH, Oto - TÓTH, J.T. Corrigendum to Theorem 5 of the paper "Asymptotic density of A N and density of ratio set R(A)". In Acta Arithmetica, 2002, vol. 103, no. 2, s. 191-200. ISSN 0065-1036.
  • STRAUCH, Oto - TÓTH, J.T. Asymptotic density of A subset of N and density of the ratio set R(A) (vol 87, pg 67, 1998). In Acta Arithmetica, 2002, vol. 103, no. 2, p. 191-200. ISSN 0065-1036.
  • STRAUCH, Oto - PAŠTÉKA, Milan - GREKOS, G. Kloosterman's uniformly distributed sequences. In Journal of Number Theory, 2003, vol. 103, s. 1-15. ISSN 0022-314X.
  • STRAUCH, Oto - PORUBSKÝ, Š. Distribution of Sequences: A Sampler. Frankfurt am Main : Peter Lang, 2005. 569 p. ISBN 3-631-54013-2
  • STRAUCH, Oto - GREKOS, G. Distribution functions of ratio sequences, II. In Uniform Distribution Theory, 2007, vol. 2, s. 53-77. ISSN 1336-913X.
  • BALÁŽ, Vladimír - LIARDET, P. - STRAUCH, Oto. Distribution functions of the sequence Φ(n)/n, k ≤ n k + N, II. In International Conference on Uniform Distribution. - Marseilles : Centre International de Rencontres Mathematiques (CIRM), <a href="http://www.cirm.univ-mrs.fr/videos/2008/exposes/320/Balaz.pdf,">http://www.cirm.univ-mrs.fr/videos/2008/exposes/320/Balaz.pdf,</a> 2008.
  • GIULIANO ANTONINI, R. - STRAUCH, Oto. On weighted distribution functions of sequences. In Uniform Distribution Theory, 2008, vol. 3, s. 1-18. ISSN 1336-913X.
  • MIŠÍK, L. - STRAUCH, Oto - TÓTH, J.T. Distribution functions of ratio sequences. In International Conference on Uniform Distribution. - Marseilles : Centre International de Rencontres Mathematiques (CIRM), <a href="http://www.cirm.univ-mrs.fr/videos/2008/exposes/320/Misik.pdf,">http://www.cirm.univ-mrs.fr/videos/2008/exposes/320/Misik.pdf,</a> 2008.
  • STRAUCH, Oto. Distribution functions and sequences. In International Conference on Uniform Distribution. - Marseilles : Centre International de Rencontres Mathematiques (CIRM), <a href="http://www.cirm.univ-mrs.fr/videos/2008/exposes/320/Strauch.pdf,">http://www.cirm.univ-mrs.fr/videos/2008/exposes/320/Strauch.pdf,</a> 2008.
  • STRAUCH, Oto - NAIR, R. Unsolved Problems (electronic form) [elektronický zdroj]. Bratislava : Mathematical Institute of the Slovak Academy of Sciences, 2007, 2008. 1-55. Názov z titulnej obrazovky. Požaduje sa Windows 2000. Dostupné na internete: <a href="http://udt.mat.savba.sk/udt_unsolv.htm">http://udt.mat.savba.sk/udt_unsolv.htm</a>
  • STRAUCH, Oto. Appendix, in: M. Weber, On localization in Kronecker's diophantine theorem. In Uniform Distribution Theory, 2009, vol. 4, no. 1, s. 113-115. ISSN 1336-913X.
  • STRAUCH, Oto. Distribution functions of sequences. In CIRM, Publications du Centre International de Rencontres Mathématiques, Résumés des Recontres 2008, Vol. I. - Marseille : Sociéte Matématique de France, 2009, s. 27-28.
  • STRAUCH, Oto. Monte Carlo a quasi-Monte Carlo metóda. In Zborník I. medzinárodnej konferencie Univerzity J. Selyeho. - 2009, s. 6.
  • BALÁŽ, V. - NAGASAKA, K. - STRAUCH, Oto. Benford's law and distribution functions of sequences in (0,1). In Mathematical Notes, 2010, vol. 88, no. 4, s. 449-463. (2009: 0.337 - IF, Q4 - JCR). ISSN 0001-4346.
  • BALÁŽ, V. - LIARDET, P. - STRAUCH, Oto. Distribution functions of the sequence ϕ(M)/M, M from (K,K + N) as K,N, go to infinity. In Integers, 2010, vol. 10, s. 705-732. ISSN 1553-1732.
  • BALÁŽ, V. - NAGASAKA, K. - STRAUCH, Oto. Benford's law and distribution functions of sequences in (0, 1). In Matematičeskije zametki, 2010, vol. 88, no. 4, s. 485-501. ISSN 0025-567X.
  • PORUBSKÝ, Š. - STRAUCH, Oto. Binary sequences generated by fnαg, n = 1, 2, . . In Publicationes Mathematicae - Debrecen, 2010, vol. 77, no. 1-2, s. 139-170. (2009: 0.646 - IF, Q2 - JCR, 0.691 - SJR, Q2 - SJR). ISSN 0033-3883. Dostupné na: <a href="https://doi.org/10.1142/S0218339010003330">https://doi.org/10.1142/S0218339010003330</a>
  • STRAUCH, Oto. Some applications of distributio functions of sequences : MCQMC 2010 (9th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientic Computing, August 15-20,Warszaw, 2010) [elektronický zdroj]. Warszaw, Poland, 2010. 39 s. Dostupné na internete: <a href="http://mcqmc.mimuw.edu.pl/Presentations/strauch.pdf">http://mcqmc.mimuw.edu.pl/Presentations/strauch.pdf</a>
  • FIALOVÁ, Jana - STRAUCH, Oto. On two-dimensional sequences composed by one-dimensional uniformly distributed sequences. In Uniform Distribution Theory, 2011, vol. 6, no. 1, s. 101-125. ISSN 1336-913X.
  • MIŠÍK, L. - STRAUCH, Oto. Diophantine approximation generalized. In Proceedings of the Steklov Institute of Mathematics, 2012, vol. 276, s. 198-212. (2011: 0.171 - IF, Q4 - JCR, 0.207 - SJR, Q4 - SJR). ISSN 0081-5438. Dostupné na: <a href="https://doi.org/10.1134/S0081543812010166">https://doi.org/10.1134/S0081543812010166</a>
  • STRAUCH, Oto. Some unsolved problems in the theory of distribution functions. In UDT2012 (3rd International Conference on Uniform Distribution Theory, 2012, june 25-29 Smolenice Slovakia. Dostupné na internete: <a href="http://www.mat.savba.sk/confer/UDT2012/index.htm">http://www.mat.savba.sk/confer/UDT2012/index.htm</a>
  • BALÁŽ, V. - MIŠÍK, L. - STRAUCH, Oto - TÓTH, J.T. Distribution functions of ratio sequences, IV. In Periodica Mathematica Hungarica, 2013, vol. 66, no. 1, s. 1-22. (2012: 0.261 - IF, Q4 - JCR, 0.252 - SJR, karentované - CCC). (2013 - Current Contents). ISSN 0031-5303. Dostupné na: <a href="https://doi.org/10.1007/s10998-013-4116-4">https://doi.org/10.1007/s10998-013-4116-4</a>
  • BALÁŽ, V. - MIŠÍK, L. - STRAUCH, Oto - TÓTH, J.T. Distribution functions of ratio sequences, III. V. Baláž, L. Mišík, O. Strauch, J.T. Tóth. In Publicationes Mathematicae - Debrecen, 2013, vol. 82, no. 3-4, s. 511-529. (2012: 0.322 - IF, Q4 - JCR, 0.361 - SJR). ISSN 0033-3883. Dostupné na: <a href="https://doi.org/10.5486/PMD.2013.4770">https://doi.org/10.5486/PMD.2013.4770</a>
  • BALÁŽ, V. - FIALOVÁ, Jana - GROZDANOV, V. - STOILOVA, S. - STRAUCH, Oto. Hilbert space with reproducing kernel and uniform distribution preserving maps, I. In Proceedings of the Steklov Institute of Mathematics, 2013, vol. 282, no. Suppl. 1, s24-S53. ISSN 0081-5438.
  • STRAUCH, Oto. Unsolved Problems. In Tatra Mountains Mathematical Publications, 2013, vol. 56, s. 109-229. (2012: 0.174 - SJR). (2013 - WOS, SCOPUS). ISSN 1210-3195.
  • STRAUCH, Oto - PORUBSKÝ, Štefan. Distribution of Sequences: A Sampler (Electronic revised version) [elektronický zdroj]. 2013. 651 s. Dostupné na internete: <a href="http://www.boku.ac.at/MATH/udt/">http://www.boku.ac.at/MATH/udt/</a>
  • BALÁŽ, Vladimír - FIALOVÁ, Jana - STRAUCH, Oto. Hilbert space with reproducing kernel and uniform distribution preserving maps, II. In Uniform Distribution Theory, 2014, vol. 9, no. 2, p. 67-91. ISSN 1336-913X.
  • FIALOVÁ, Jana - MIŠÍK, L. - STRAUCH, Oto. An Asymptotic Distribution Function of the Three-Dimensional Shifted van der Corput Sequence. In Applied Mathematics, 2014, vol. 5, s. 2334-2339. ISSN 2152-7385.
  • STRAUCH, Oto - OHKUBO, Y. Distribution of Leading Digits of Numbers : 4th International Conference on Uniform Distribution Theory [elektronický zdroj]. Ostravice, Czech Republic, 2014. Dostupné na internete: <a href="http://ntc.osu.cz/sites/default/files/2014/abstracts/Strauch.pdf">http://ntc.osu.cz/sites/default/files/2014/abstracts/Strauch.pdf</a>
  • PORUBSKÝ, Štefan - STRAUCH, Oto. A common structure of $n_k$'s for which $n_k\alpha\bmod1\to x$. In Publicationes Mathematicae - Debrecen, 2015, vol. 86, no. 3-4, p. 493-502. (2014: 0.503 - IF, Q3 - JCR, 0.482 - SJR, Q2 - SJR). (2015 - WOS). ISSN 0033-3883. Dostupné na: <a href="https://doi.org/10.5486/PMD.2015.7128">https://doi.org/10.5486/PMD.2015.7128</a>
  • STRAUCH, Oto. Statistically convergent sequences. In Ab igne ignem : László Béla 75. születésmapjára/k 75. narodeninám Bélu Lászlóa. - Nitra : Fakulta stredoeurópskych štúdií UKF, 2015, s. 81-96. ISBN 978-80-558-0792-8.
  • BALÁŽ, Vladimír - IACÒ, Maria Rita - STRAUCH, Oto - THONHAUSER, Stefan - TICHY, Robert F. An extremal problem in uniform distribution theory. In Uniform Distribution Theory, 2016, vol. 11, no. 2, p. 1-21. ISSN 1336-913X. Dostupné na internete: <a href="https://math.boku.ac.at/udt/vol11/no2/01BISTT.pdf">https://math.boku.ac.at/udt/vol11/no2/01BISTT.pdf</a>
  • BALÁŽ, Vladimír - FIALOVÁ, Jana - HOFER, M. - IACO, M.R. - STRAUCH, Oto. The asymptotic distribution function of the 4-dimensional shifted van der Corput sequence. In Tatra Mountains Mathematical Publications, 2015, vol. 64, p. 75-92. (2014: 0.191 - SJR, Q4 - SJR). (2015 - SCOPUS). ISSN 1210-3195. Dostupné na: <a href="https://doi.org/10.1515/tmmp-2015-0043">https://doi.org/10.1515/tmmp-2015-0043</a>
  • OHKUBO, Yukio - STRAUCH, Oto. Distribution of leading digits of numbers. In Uniform Distribution Theory, 2016, vol. 11, no. 1, p. 23-45. ISSN 1336-913X. Dostupné na internete: <a href="https://math.boku.ac.at/udt/vol11/no1/03OhkuStrauch.pdf">https://math.boku.ac.at/udt/vol11/no1/03OhkuStrauch.pdf</a>
  • STRAUCH, Oto. Some applications of distribution functions of sequences. In Uniform Distribution Theory, 2015, vol. 10, no. 2, p. 117-183. ISSN 1336-913X. Dostupné na internete: <a href="https://math.boku.ac.at/udt/vol10/no2/08Strauch.pdf">https://math.boku.ac.at/udt/vol10/no2/08Strauch.pdf</a>
  • STRAUCH, Oto. Distribution functions of ratio sequences. An expository paper. In Tatra Mountains Mathematical Publications, 2015, vol. 64, p. 133-185. (2014: 0.191 - SJR, Q4 - SJR). (2015 - SCOPUS). ISSN 1210-3195. Dostupné na internete: <a href="https://www.sav.sk/journals/uploads/0205125609Strauc.pdf">https://www.sav.sk/journals/uploads/0205125609Strauc.pdf</a>
  • Uniform Distribution Theory. Managing editors O. Strauch, V. Baláž. Vienna : University of Natural Resources and Life Sciences ; Bratislava : Veda, 2006-. Do r. 2011 vydavateľ Matematický ústav SAV Bratislava. 2x ročne. ISSN 1336-913X
  • OHKUBO, Yukio - STRAUCH, Oto*. Distribution of leading digits of numbers II. In Uniform Distribution Theory, 2019, vol. 14, no. 1, p. 19-42. ISSN 1336-913X. Dostupné na: <a href="https://doi.org/10.2478/udt-2019-0003">https://doi.org/10.2478/udt-2019-0003</a>
  • STRAUCH, Oto. Distribution of sequences: a theory. Bratislava : Veda ; Praha : Academia, 2019. 591 p. Názov z internetu. ISBN 978-80-224-1734-1 (Vega č. 2/0109/18 : Teória čísel a jej aplikácie)
  • STRAUCH, Oto - BELASOVÁ, Jana - HOLÁ, Ľubica - BALÁŽ, Vladimír. Tibor Šalát (1926-2005). Rec: Štefan Porubský, János Tóth. Bratislava : VEDA, Vydavateľstvo SAV, 2019. 216 p. ISBN 978-80-224-1741-9
  • MIŠÍK, Ladislav - PORUBSKÝ, Štefan - STRAUCH, Oto. Uniform distribution of the weighted sum-of-digits functions. In Uniform Distribution Theory, 2021, vol. 16, no. 1, p. 93-126. ISSN 1336-913X. Dostupné na: <a href="https://doi.org/10.2478/udt-2021-0005">https://doi.org/10.2478/udt-2021-0005</a>
  • STRAUCH, Oto. Mahler´s Conjecture on ξ(3/2)nmod 1. In Uniform Distribution Theory, 2021, vol. 16, no. 2, p. 49-70. ISSN 1336-913X. Dostupné na: <a href="https://doi.org/10.2478/UDT-2021-0007">https://doi.org/10.2478/UDT-2021-0007</a>
  • OHKUBO, Yukio - STRAUCH, Oto. Distribution of Leading Digits of Imaginary Parts of Riemann Zeta Zeros. In Uniform Distribution Theory, 2022, vol. 17, no. 2, p. 161-164. ISSN 1336-913X. Dostupné na: <a href="https://doi.org/10.2478/UDT-2022-0016">https://doi.org/10.2478/UDT-2022-0016</a>