Publikacje
- B. Krause, M. Mirek and B. Trojan. On the Hardy-Littlewood majorant problem for arithmetic sets. Submitted.
- B. Krause, M. Mirek and B. Trojan. Two-parameter version of Bourgain's inequality: Rational frequencies. Submitted.
- M. Mirek, B. Trojan and P. Zorin-Kranich. Variational estimates for averages and truncated singular integrals along the prime numbers. Submitted.
- 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.
- M. Mirek and B. Trojan. Cotlar's ergodic theorem along the prime numbers. Accepted for publication in Journal of Fourier Analysis and Applications.
- M. Mirek. Weak type (1,1) inequalities for discrete rough maximal functions. Accepted for publication in Journal d'Analyse Mathematique.
- M. Mirek. Roth's Theorem in the Piatetski-Shapiro primes. Accepted for publication in Revista Matematica Iberoamericana.
- 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.
- M. Mirek. Discrete analogues in harmonic analysis: maximal functions and singular integral operators. Oberwolfach Report 34, (2014), 33-36.
- 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.
- M. Mirek. On fixed points of a generalized multidimensional affine recursion. Probability Theory and Related Fields 156, (2013), no. 3-4, 665-705.
- 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.
- 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.
- 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.
- M. Mirek. Convergence to stable laws and a local limit theorem for stochastic recursions. Colloquium Mathematicum 118, (2010), 705-720.