Wykaz publikacji

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• Big Birkhoff sums in d-decaying Gauss like iterated function systems
  (with L. Liao)
  pdf file
  
  
• Normal numbers with given limits of multiple ergodic averages
  (with L. Liao)
  pdf file
  
  
• Dimension theory of some non-Markovian repellers Part I: A gentle introduction
  (with B. Barany and K. Simon)
  pdf file
  
  
• Dimension theory of some non-Markovian repellers Part II: Dynamically defined function graphs
  (with B.Barany and K. Simon)
  pdf file
  
  
• Mass transference principle: from balls to arbitrary shapes
  (with H. Koivusalo)
  to appear in Int. Math. Res. Not.
  pdf file
  
  
• Hausdorff dimension in inhomogeneous Diophantine approximation
  (with Y. Bugeaud, D. H. Kim, S. Lim)
  to appear in Int. Mat. Res. Not.
  pdf file
  
  
• Birkhoff and Lyapunov spectra on planar self-affine sets
  (with B. Barany, T. Jordan, A. Kaenmaki)
  to appear in Int. Math. Res. Not.
  pdf file
  
  
• The structure of the space of ergodic measures of transitive partially hyperbolic sets
  (with L. Diaz, K. Gelfert, T. Marcarini)
  Monatshefte fur Math. 190 (2019), 441-479.
  pdf file
  
  
• Dimension of the repeller for a piecewise expanding affine map
  (with B. Barany, K. Simon)
  pdf file
  
  
• Birkhoff spectrum for piecewise monotone interval maps
  (with T. Jordan)
  to appear in Fund. Math.
  pdf file
  
  
• Dimension of generic self-affine sets with holes
  (with H. Koivusalo)
  Monatshefte fur Math. 188 (2019), 527-546.
  pdf file
  
  
• Metrical results on the distribution of fractional parts of powers of real numbers
  (with Y. Bugeaud and L. Liao)
  Proc. of the Edinburgh Math. Soc. 62 (2019), 505-521.
  pdf file
  
  
• Multifractal analysis of the Birkhoff sums of the Saint-Petersburg potential
  (with D. H. Kim, L. Liao, and B. Wang)
  Fractals 26 (2018), 1850026.
  pdf file
  
  
• Shrinking targets on Bedford-McMullen carpets
  (with B. Barany)
  Proceedings of the London Math. Soc. 117 (2018), 951-995.
  pdf file
  
  
• Topological and ergodic aspects of partially hyperbolic diffeomorphisms and nonhyperbolic step skew-products
  (with L. Diaz and K. Gelfert)
  Proc. of Steklov Inst. of Math. 297 (2017), 98-115.
  pdf file
  Russian version
  
  
• Entropy spectrum of Lyapunov exponents for nonhyperbolic step skew-products and elliptic cocycles
  (with L. Diaz and K. Gelfert)
  Communications in Math. Phys. 367 (2019), 351-416.
  pdf file
  
  
• Hausdorff dimension of the set approximated by irrational rotations
  (with D. H. Kim and B. Wang)
  Mathematika 64 (2018), 267-283.
  pdf file
  
  
• On the dimension of triangular self-affine sets
  (with B. Barany and K. Simon)
  Erg. Th. and Dynam. Sys. 39 (2019), 1751–1783.
  pdf file
  
  
• Nonhyperbolic step skew-products: ergodic approximation
  (with L. Diaz and K. Gelfert)
  Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire 34 (2017), 1561-1598.
  pdf file
  
  
• Dimension maximizing measures for self-affine systems
  (with B. Barany)
  Transactions of the Amer. Math. Soc. 370 (2018), 553-576.
  pdf file
  
  
• On the dimension of self-affine sets and measures with overlaps
  (with B. Barany and K. Simon)
  Proc. of the Amer. Math. Soc. 144 (2016), 4427-4440.
  pdf file
  
  
• Entropy of Lyapunov-optimizing measures of some matrix cocycles
  Fractal Geometry and Stochastics V, ed. Ch. Bandt, K. Falconer, M. Zahle, Springer 2015, 143-154.
  pdf file
  
  
• On entropy of dynamical systems with the almost specification property
  (with D. Kwietniak and P. Oprocha)
  Israel J. of Math. 213 (2016), 475-504.
  pdf file
  
  
• Packing spectra for Bernoulli measures supported on Bedford-McMullen carpets
  (with T. Jordan)
  Fund. Math. 229 (2015), 171-196.
  pdf file
  
  
• On shrinking targets for piecewise expanding interval maps
  (with T. Persson)
  Erg. Th. and Dyn. Sys. 37 (2017), 646-663.
  pdf file
  
  
• Lyapunov spectrum for multimodal maps
  (with K. Gelfert and F. Przytycki)
  Erg. Th. and Dyn. Sys. 36 (2016), 1441-1493.
  pdf file
  
  
• Projections of the natural measure for percolation fractals
  (with Y. Peres)
  Israel J. of Math. 214 (2016), 539-552.
  pdf file
  
  
• Subexponentially increasing sum of partial quotients in continued fraction expansions
  (with L. Liao)
  Math. Proc. Camb. Phil. Soc. 160 (2016), 401-412.
  pdf file
  
  
• Upper and lower fast Khintchine spectra in continued fractions
  (with L. Liao)
  Monatshefte fur Math 180 (2016), 65-81.
  pdf file
  
  
• The entropy of Lyapunov-optimizing measures of some matrix cocycles
  (with J. Bochi)
  J. of Modern Dynamics 10 (2016), 255-286.
  pdf file
  
  
• Dimension of slices of Sierpinski-like gaskets
  (with B. Barany)
  Journal of Fract. Geom. 1 (2014), 273-294.
  pdf file
  
  
• The geometry of fractal percolations
  (survey)
  (with K. Simon)
  Geometry and Analysis of Fractals, ed. D-J. Feng, K-S Lau, Hong Kong 2012, 303-323.
  pdf file
  
  
• Abundant rich phase transitions in step skew products
  (with L. Diaz and K. Gelfert)
  Nonlinearity 27 (2014), 2255–2280.
  pdf file
  
  
• Almost complete Lyapunov spectrum in step skew-products
  (with L. Diaz and K. Gelfert)
  Dynamical Systems 28 (2013), 76-110.
  pdf file
  
  
• The dimension of projections of fractal percolations
  (with K. Simon)
  J. Stat. Phys. 154 (2014), 633–655.
  pdf file
  
  
• Inhomogeneous diophantine approximation with general error functions
  (with L. Liao)
  Acta Arithm. 160 (2013), 25-35.
  pdf file
  
  
• Dimension of some self-affine sets with holes
  (with A. Ferguson and T. Jordan)
  Ann. Acad. Sci. Fenn. Math. 40 (2015), 63-88.
  pdf file
  
  
• Multifractal analysis of some multiple ergodic averages for the systems with non-constant Lyapunov exponents
  (with L. Liao)
  Real Anal. Exchange 39 (2014), 1-14.
  pdf file
  
  
• A spectral radius estimate and entropy of hypercubes
  (with W. Geller, B. Kitchens, and M. Misiurewicz)
  J. Bifur. Chaos Appl. Sci. Engrg. 22 (2012), 1250096.
  pdf file
  
  
• Multifractal analysis for expanding interval maps with infinitely many branches
  (with A-H. Fan, T. Jordan, and L. Liao)
  Trans. Amer. Math. Soc. 367 (2015), 1847-1870.
  pdf file
  
  
• Rich phase transitions in step skew-products
  (with L. Diaz and K. Gelfert)
  Nonlinearity 24 (2011), 3391-3412.
  pdf file
  
  
• Lyapunov spectrum for exceptional rational maps
  (with K. Gelfert, F. Przytycki, and J. Rivera-Letelier)
  Ann. Acad. Sci. Fenn. Math. 38 (2013), 631-656.
  pdf file
  
  
• Increasing digits subsystems of infinite iterated function systems
  (with T. Jordan)
  Proc. of the Amer. Math. Soc. 140 (2012), 1267-1279.
  pdf file
  
  
• On some non-conformal fractals
  Nonlinearity 23 (2010), 2423-2428.
  pdf file
  
  
• Projections of Fractal Percolations
  (with K. Simon)
  Erg. Th. and Dyn. Sys. 35 (2015), 530-545.
  pdf file
  
  
• Visible Parts of Fractal Percolation
  (with I. Arhosalo, E. Jarvenpaa, M. Jarvenpaa and P. Shmerkin)
  Proc. of Edinburgh Math. Soc. 55 (2012), 311-331.
  pdf file
  
  
• Large Deviation Multifractal Analysis of a Class of Additive Processes with Correlated Non-Stationary Increments
  (with J. Levy Vehel)
  IEEE/ACM Transactions on Networking 21 (2013), 1309-1321.
  pdf file
  
  
• Multifractal analysis for Bedford-McMullen carpets
  (with T. Jordan)
  Math. Proc. of Camb. Phil. Soc. 150 (2011), 147-156.
  pdf file
  
  
• Multifractal analysis of weak Gibbs measures for non-uniformly expanding C1 maps
  (with T. Jordan)
  Erg. Th. and Dyn. Sys. 31 (2011), 143-164.
  pdf file
  
  
• Lyapunov spectrum for rational maps
  (with K. Gelfert and F. Przytycki)
  Math. Annalen 348 (2010), 965-1004.
  pdf file
  
  
• The Lyapunov spectrum of some parabolic systems
  (with K. Gelfert)
  Erg. Th. and Dyn. Sys. 29 (2009), 919-940.
  ps.gz file
  
  
• On the Hausdorff dimension of invariant measures of weakly contracting on average measurable IFS
  (with J. Jaroszewska)
  Journal of Stat. Phys. 132 (2008), 907-919.
  pdf file
  
  
• Geometry of limit sets for expansive Markov systems
  (with K. Gelfert)
  Trans. Amer. Math. Soc. 361 (2009), 2001-2020.
  ps.gz file
  
  
• Growth rates for geometric complexities and counting functions in polygonal billiards
  (with E. Gutkin)
  Erg. Th. and Dyn. Sys. 29 (2009), 1163-1183.
  pdf file
  
  
• Results on the Dimension Spectrum for Self-conformal Measures
  (with J. Levy Vehel)
  Nonlinearity 20 (2007), 965-973.
  
  
• Contracting-on-average baker maps
  Bulletin of Pol. Ac. of Sc., 54 (2006), 219-229.
  
  
• Dimension estimates for invariant measures of contracting-on-average iterated function systems
  dvi file, ps.gz file
  
  
• Measures of maximal dimension for linear horseshoes
  Real Anal. Exchange, 31 (2005/06), 55-62.
  
  
• IFS attractors and Cantor sets
  (with S. Crovisier)
  Topology and Appl., 153 (2006), 1849-1859.
  
  
• Generic behavior of iterated function systems with overlaps
  Pac. J. of Math., 218 (2005), 173-186.
  
  
• Hausdorff and packing measure for thick solenoids
  Studia Math., 163 (2004), 193-202.
  
  
• Multivariate Feature Coupling and Discretization
  (with S. Zemke)
  FEA 2003, USA 2003.
  
  
• AC of the SBR measure for non-linear fat baker maps
  Nonlinearity, 16 (2003), 1649-1655.
  
  
• Hausdorff and packing measure for solenoids
  (with K.Simon)
  Erg. Th. and Dyn. Sys., 23 (2003),273-292.
  
  
• Packing dimension estimation for exceptional parameters
  Israel J. of Math., 130 (2002), 125-144.
  
  
• Equivalence of positive Hausdorff measure and the open set condition for self-conformal sets
  (with Y.Peres, K.Simon, B.Solomyak)
  Proc. of Amer. Math. Soc., 129 (2001), 2689-2699.
  
  
• Generalized Whitney partition
  Fund. Math., 166 (2000), 233-249.
  
  
• Wymiar pudelkowy, samoprzecinajace sie zbiory Cantora
  Ph.D. thesis (in Polish), Polish Academy of Sciences, 1999.
  ps.gz file
  
  
• Exceptional parameters for iterated function systems with overlaps
  Periodica Math. Hung., 37 (1998), 111-119.
  
  

19.12.2019