A unified approach to limit theorems for dual objects in probabilita and number theory

• Applicants: Professor Dr. Karl-Heinz Indlekofer; Professor Dr. Josef G. Steinebach
• Subject Area: Mathematics
• Term: from 2016 to 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 289386657

• Final Report Year: 2024

No abstract available

Link to the final report

https://oa.tib.eu/renate/handle/123456789/18553

Publications

• From Renewals via Change-Points to Functional Data, Ina vited Talk, Conference in honor of Lajos Horv´th, Graz/Austria, October 2016
  J. G. Steinebach
  
• International workshop on limit theorems in probability theory, number theory, and mathematical statistics, book of abstracts, Kyiv, October 10–11, 2016
  K.-H. Indlekofer, O. I. Klesov & J. Steinebach
  
• Mathematical research achievements of V. V. Buldygin, in “Limit Theorems in Probability Theory, Number Theory, and Mathematical Statistics”, International workshop in honour of Prof. V. V. Buldygin, NTUU “KPI”, Kyiv, Ukraine, October 10–12, 2016, pp. 1–4
  K.-H. Indlekofer, O. I. Klesov & J. G. Steinebach
  
• On the Monitoring of CAPM Portfolio Betas, International Workshop on Limit Theorems in Probability Theory, Number Theory, and Mathematical Statistics, Kyiv/Ukraine, October 2016
  A. Aue, O. Chochola, S. Hörmann, L. Horvath, M. Huskova, Z. Praskova & J. G. Steinebach
  
• Limit Laws for the Increments of Stochastic Processes, Invited Talk, Workshop “From Analysis to Stochastics”: A Workshop along u Ulrich Stadtm¨ ller’s Scientific Interests”, Ulm, April 2017
  J. G. Steinebach
  
• Dual objects in function theory, probability theory, and number theory, Number, Functions, Equations 2018, International Conference, Institute of Mathematics, University of Debrecen, August 26–September 1, 2018; Hajduszoboszlo, Hungary, pp. 45
  O. I. Klesov
  
• On spaces of arithmetical functions, International Conference on Number Theory dedicated to the 70th birthday of Professors Antanas Laurincikas and Eugenijus Manstavicius, September 09–15, 2018, Palanga, Lithuania
  K.-H. Indlekofer
  
• On the uniform distribution and the uniform summability of additive and multiplicative functions, 12th International Vilnius Conference on Probability Theory and Mathematical Statistics, Vilnius, Lithuania, July 2–6, 2018
  K.-H. Indlekofer
  
• Pseudoregularly varying functions and generalized renewal processes, 482+XXII pp., Springer Verlag, Cham (Switzerland), 2018
  V. V. Buldygin, K.-H. Indlekofer, O. I. Klesov & J. G. Steinebach
  
• Some comments on the paper "O jednom O-inverznom stavu" by Vojislav G. Avakumović. Mathematics in Modern Technical University, 2018(1), 5-10.
  Klesov, Oleg I. & Steinebach, Josef G.
  
• Estimating a gradual parameter change in an AR(1)-process, International Workshop on “New Trends in Probabilistic Number Theory and the Theory of Stochastic Processes”, Paderborn, June 2019
  J. G. Steinebach
  
• International workshop on New Trends in Probabilistic Number Theory and the Theory of Stochastic Processes, book of abstracts, Paderborn, June 28–29, 2019
  K.-H. Indlekofer, O. I. Klesov & J. Steinebach
  
• Law of the Iterated Logarithm for Inverse Subordinators, International Workshop on “New Trends in Probabilistic Number Theory and the Theory of Stochastic Processes”, Paderborn, June 2019
  O. I. Klesov, N. Leonenko & J. G. Steinebach
  
• On regularly varying additive and multiplicative function, Internaa tional workshop on New Trends in Probabilistic Number Theory and the Theory of Stochastic Processes, Paderborn, June 28–29, 2019
  I. Kat´i
  
• On the uniform distribution and the uniform summability of multiplicative functions, International workshop on New Trends in Probabilistic Number Theory and the Theory of Stochastic Processes, Paderborn, June 28– 29, 2019
  K.-H. Indlekofer
  
• On the uniform distribution and uniform summability of positive valued multiplicative functions. Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 49, 249–258.
  Indlekofer, Karl-Heinz
  
• A remark on uniformly distributed functions. Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 50, 167-172.
  Indlekofer, Karl-Heinz; Kátai, Imre; Klesov, Oleg I. & Phong, Bui Minh
  
• On preserving the limit points of corresponding objects. Journal of Mathematical Analysis and Applications, 486(2), 123916.
  Klesov, O.I. & Steinebach, J.G.
  
• On some uniformly distributed functions on the set of shifted primes. Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 50, 173-181.
  Indlekofer, Karl-Heinz; Kátai, Imre & Phong, Bui Minh
  
• On uniformly summable functions and a problem of Halmos in ergodic theory. Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 50, 157-166.
  Indlekofer, Karl-Heinz
  
• Remarks on number theory over additive arithmetical semigroups. Ukrains’kyi Matematychnyi Zhurnal, 72(3), 371-390.
  Indlekofer, K.-H. & Kaya, E.
  
• Orthonormal systems in spaces of number theoretical functions. Lithuanian Mathematical Journal, 61(3), 373-381.
  Indlekofer, Karl-Heinz; Kaya, Erdener & Wagner, Robert
  
• Limit behavior of record moments, Winter school Stochastic Analysis and Related Questions, Oslo, November 30, 2022
  O. I. Klesov & O. V. Kolesnik
  
• A new proof of a result of Wirsing for multiplicative functions. Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 55, 151-174.
  Indlekofer, Karl-Heinz
  
• Polynomials and their applications, October 11–12, XIX International Krawtchouk Conference, 2023, pp. 235–236
  O. I. Klesov & M. P. Krawtchouk
  
• Швидкість збіжності у підсиленому законі великих чисел для рекордів у Fᵅ схемі. Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 43(2), 29-33.
  Клесов, О. І. & Колеснік, О. В.
  
• Estimates for multiplicative functions, I.. Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 56, 249-261.
  Indlekofer, Karl–Heinz & Kaya, Erdener
  
• Rate of convergence in the strong law of large numbers for records, Multitask ECODEP Conference, February 12-14, Institut e Henri Poincar´, Paris, 2024
  O. I. Klesov & O. V. Kolesnik