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• Brennan's conjecture and the Mandelbrot set (with Alexander Volberg and Anna Zdunik),
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• Connectedness of the basin of attraction for rational maps,
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• From Newton's method to exotic basins. Part I: The parameter space,
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• From Newton's method to exotic basins. Part II: Bifurcation of the Mandelbrot-like sets,
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• On realizability of branched coverings of the sphere,
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• Univalent Baker domains (with Núria Fagella),
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Ergodic Theory Dynam. Systems 25 (2005), no. 3, 731-757.
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Michigan Math. J. 54 (2006), no. 1, 65-79.
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• Coding trees and boundaries of attracting basins for some entire maps (with Bogusława Karpińska),
Nonlinearity 20 (2007), no. 2, 391-415.
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• Hausdorff dimension of the limit sets of some planar geometric constructions,
Adv. Math. 210 (2007), no. 1, 215-245.
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• Hausdorff dimension of hairs and ends for entire maps of finite order,
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• Hausdorff dimension of self-affine limit sets with an invariant direction,
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• Hyperbolic dimension of Julia sets of meromorphic maps with logarithmic tracts (with Bogusława Karpińska and Anna Zdunik),
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• Dimension properties of the boundaries of exponential basins (with Bogusława Karpińska and Anna Zdunik),
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• Omega-limit sets for the Stein-Ulam Spiral map (with Michał Misiurewicz),
Topology Proc. 36 (2010), 145-172.
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• Bowen's formula for meromorphic functions (with Bogusława Karpińska and Anna Zdunik),
Ergodic Theory Dynam. Systems 32 (2012), no. 4, 1165-1189.
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• Brushing the hairs of transcendental entire functions (with Xavier Jarque and Lasse Rempe),
Topology Appl. 159 (2012), no. 8, 2102-2114.
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• On the dimension of graphs of Weierstrass-type functions with rapidly growing frequencies,
Nonlinearity 25 (2012), no. 1, 193-209.
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• On the connectivity of the Julia sets of meromorphic functions (with Núria Fagella, Xavier Jarque and Bogusława Karpińska),
Invent. Math. 198 (2014), no. 3, 591-636.
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• On the dimension of the graph of the classical Weierstrass function (with Balázs Bárány and Julia Romanowska),
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• Absorbing sets and Baker domains for holomorphic maps (with Núria Fagella, Xavier Jarque and Bogusława Karpińska),
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• Dimension of the graphs of the Weierstrass-type functions,
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• On the Hausdorff dimension of the Sierpiński Julia sets (with Michał Wardal),
Discrete Contin. Dyn. Syst. 35 (2015), no. 8, 3293-3313.
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• Accesses to infinity from Fatou components (with Núria Fagella, Xavier Jarque and Bogusława Karpińska),
Trans. Amer. Math. Soc. 369 (2017), no. 3, 1835-1867.
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• Conformal measures for meromorphic maps (with Bogusława Karpińska and Anna Zdunik),
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• Connectivity of Julia sets of Newton maps: a unified approach (with Núria Fagella, Xavier Jarque and Bogusława Karpińska),
Rev. Mat. Iberoam. 34 (2018), no. 3, 1211-1228.
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• Escaping points in the boundaries of Baker domains (with Núria Fagella, Xavier Jarque and Bogusława Karpińska),
J. Anal. Math. 137 (2019), no. 2, 679-706. SharedIt
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• Fatou components and singularities of meromorphic functions (with Núria Fagella, Xavier Jarque and Bogusława Karpińska),
Proc. Roy. Soc. Edinburgh Sect. A 150 (2020), no. 2, 633-654.
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• A probabilistic Takens theorem (with Yonatan Gutman and Adam Śpiewak),
Nonlinearity 33 (2020), no. 9, 4940-4966.
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• Singular stationary measures for random piecewise affine interval homeomorphisms (with Adam Śpiewak),
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• On the Shroer–Sauer–Ott–Yorke predictability conjecture for time-delay embeddings (with Yonatan Gutman and Adam Śpiewak),
Comm. Math. Phys. 391 (2022), no. 2, 609-641. SharedIt
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• On the dimension of points which escape to infinity at given rate under exponential iteration (with Bogusława Karpińska),
Ergodic Theory Dynam. Systems 42 (2022), no. 5, 1591-1623.
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• On the dimension of stationary measures for random piecewise affine interval homeomorphisms (with Adam Śpiewak),
Ergodic Theory Dynam. Systems 44 (2024), no. 6, 1473-1488.
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• Prediction of dynamical systems from time-delayed measurements with self-intersections (with Yonatan Gutman and Adam Śpiewak),
J. Math. Pures Appl. 186 (2024), 103-149.
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• Local connectivity of boundaries of tame Fatou components of meromorphic functions (with Núria Fagella, Xavier Jarque and Bogusława Karpińska),
Math. Ann., published online 17 August 2024. SharedIt
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• Regularity of almost-surely injective projections in Euclidean spaces (with Yonatan Gutman and Adam Śpiewak),
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• Predicting dynamical systems with too few time-delay measurements: error estimates (with Yonatan Gutman and Adam Śpiewak),
preprint arXiv:2401.15712 (2024), submitted for publication.
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