Abundant rich phase transitions in step skew products
(with L. Diaz and K. Gelfert) pdf file
Almost complete Lyapunov spectrum in step skew-products
(with L. Diaz and K. Gelfert)
to appear in Dynamical Systems, pdf file
The dimension of projections of fractal percolations
(with K. Simon) pdf file
Inhomogeneous diophantine approximation with general error functions
(with L. Liao)
to appear in Acta Arithm., pdf file
Dimension of some self-affine sets with holes
(with A. Ferguson and T. Jordan) pdf file
Multifractal analysis of some multiple ergodic averages for the systems with non-constant Lyapunov exponents
(with L. Liao) 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)
to appear in Trans. Amer. Math. Soc., 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)
to appear in Ann. Acad. Sci. Fenn. Math., 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)
to appear in Erg. Th. and Dyn. Sys., 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)
to appear in IEEE/ACM Transactions on Networking, 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.