Submitted:
From dimension drop to aperiodic order (with
D. Karvatskyi).
Dynamical blanket times (with
M. Todd).
Accepted/published:
Hausdorff dimension of the Rauzy gasket. To appear in
Journal of the European Mathematical Society.
Cover times in dynamical systems (with
M. Todd). To appear in
Israel Journal of Mathematics.
Parabolic carpets (with
J. Fraser).
Israel Journal of Mathematics. 267, 583–621 (2025).
Non-existence of the box dimension for dynamically invariant sets. Analysis & PDE. 16(10), 2385-2399.
Box dimensions of $(\times m, \times n)$-invariant sets (with
J. Fraser).
Indiana University Mathematics Journal. 72, (2023), 2341-2367.
On the convergence rate of the chaos game (with
B. Bárány and
I. Kolossváry).
International Mathematics Research Notices 2023(5), 4456-4500.
The Hausdorff dimension of self-projective sets (with
A. Christodoulou). To appear in
Transactions of the AMS.
Ledrappier-Young formulae for a family of non-linear attractors (with
L. Lee).
Mathematische Zeitschrift 300, no. 3 (2022): 2413-2427
How long is the Chaos Game? (with
I. Morris).
Bulletin of the London Mathematical Society 53, no. 6 (2021): 1749-1765.
Dimension spectrum of infinite self-affine iterated function systems. Selecta Mathematica 27, no. 3 (2021): 1-23.
The box dimensions of exceptional self-affine sets in $\mathbb{R}^3$ (with
J. Fraser).
Advances in Mathematics 385 (2021): 107734.
Approximating integrals with respect to stationary probability measures of iterated function systems (with
I. Cipriano).
Ergodic Theory and Dynamical Systems 41, no. 8 (2021):2294-2310.
Maximising measures and dimension gaps for countable branched systems (with
S. Baker).
Ergodic Theory and Dynamical Systems 41, no. 7 (2021): 1921-1939.
Analyticity of the affinity dimension for planar iterated function systems with matrices which preserve a cone (with
I. Morris).
Nonlinearity 33.4 (2020) 1572–1593.
Effective estimates on the top Lyapunov exponents for random matrix products (with
I. Morris).
Nonlinearity 32.11 (2019) 4117–4146.
A new proof of the dimension gap for the Gauss map. To appear in
Mathematical Proceedings of the Cambridge Philosophical Society.
Dimensions of equilibrium measures on a class of planar self-affine sets (with
J. Fraser and
T. Jordan).
Journal of Fractal Geometry 7.1 (2020) 87-111.
Self-affine sets with non-compactly supported random perturbations (with
T. Jordan).
Ann. Acad. Sci. Fen. Math. 39 (2014) 771-785.
Expository:
Quantitative covering and equidistribution. To appear in
Results in the Mathematical Sciences. [Conference proceedings for
On the Interface of Geometric Measure Theory and Fractal Geometry.]
Self-projective sets, with
A. Christodoulou.
Recent Developments in Fractals and Related Fields. FARF 4 2022. Trends in Mathematics. Birkhäuser, Cham. [Conference proceedings for FARF4]
Fifty Years of Thermodynamic Formalism. Newsletter of the LMS, 483 (July 2019) 22-26.
Thermodynamic Formalism and Dimension gaps..
PhD thesis, University of Warwick, 2018. 