Publikacje

  1. B. Krause, M. Mirek and B. Trojan. On the Hardy-Littlewood majorant problem for arithmetic sets. Submitted.
     
  2. B. Krause, M. Mirek and B. Trojan. Two-parameter version of Bourgain's inequality: Rational frequencies. Submitted.
     
  3. M. Mirek, B. Trojan and P. Zorin-Kranich. Variational estimates for averages and truncated singular integrals along the prime numbers. Submitted.
     
  4. M. Mirek and B. Trojan. Discrete maximal functions in higher dimensions and applications to ergodic theory. Accepted for publication in The American Journal of Mathematics.
     
  5. M. Mirek and B. Trojan. Cotlar's ergodic theorem along the prime numbers. Accepted for publication in Journal of Fourier Analysis and Applications.
     
  6. M. Mirek. Weak type (1,1) inequalities for discrete rough maximal functions. Accepted for publication in Journal d'Analyse Mathematique.
     
  7. M. Mirek. Roth's Theorem in the Piatetski-Shapiro primes. Accepted for publication in Revista Matematica Iberoamericana.
     
  8. M. Mirek. l^p(Z) - boundedness of discrete maximal functions along thin subsets of primes and pointwise ergodic theorems. Mathematische Zeitschrift 279, (2015), no. 1-2, 27-59.
     
  9. M. Mirek. Discrete analogues in harmonic analysis: maximal functions and singular integral operators. Oberwolfach Report 34, (2014), 33-36.
     
  10. D. Buraczewski, E. Damek, S. Mentemeier and M. Mirek. Heavy tailed solutions of multivariate smoothing transforms. Stochastic Processes and their Applications 123, (2013), 1947-1986.
     
  11. M. Mirek. On fixed points of a generalized multidimensional affine recursion. Probability Theory and Related Fields 156, (2013), no. 3-4, 665-705.
     
  12. E. Damek, S. Mentemeier, M. Mirek and J. Zienkiewicz. Convergence to stable laws for multidimensional stochastic recursions: the case of regular matrices. Potential Analysis (2013), 38 no. 3, 683-697.
     
  13. D. Buraczewski, E. Damek and M. Mirek. Asymptotics of stationary solutions of multivariate stochastic recursions with heavy tailed inputs and related limit theorems. Stochastic Processes and their Applications 122, (2012), 42-67.
     
  14. M. Mirek. Heavy tail phenomenon and convergence to stable laws for iterated Lipschitz maps. Probability Theory and Related Fields 151, (2011), no. 3, 705-734.
     
  15. M. Mirek. Convergence to stable laws and a local limit theorem for stochastic recursions. Colloquium Mathematicum 118, (2010), 705-720.

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