Publications
Research Articles
- A fractal local smoothing problem for the wave equation
With: David Beltran, Joris Roos, Andreas Seeger Journal: Preprint (submitted) Links: pdfarxiv - On the uniformity and size of microsets
With: Richárd Balka, Vilma Orgoványi Journal: Preprint (submitted) Links: pdfarxiv - Fibre stability for dominated self-affine sets
With: Roope Anttila Journal: Preprint (submitted) Links: pdfarxiv - Tangents and slices of self-affine carpets
With: Antti Käenmäki Journal: Preprint (submitted) Links: pdfarxiv - Regularity of non-autonomous self-similar sets
With: Antti Käenmäki Journal: Math. Proc. Camb. Philos. Soc. (to appear) Links: pdfarxiv - Lower box dimension of infinitely generated self-conformal sets
With: Amlan Banaji Journal: Preprint (submitted) Links: pdfarxiv - Assouad spectrum of Gatzouras–Lalley carpets
With: Amlan Banaji, Jonathan M. Fraser, István Kolossváry Journal: Preprint (submitted) Links: pdfarxiv - Tangents of invariant sets
With: Antti Käenmäki Journal: Preprint (submitted) Links: pdfarxiv - Interpolating with generalized Assouad dimensions
With: Amlan Banaji, Sascha Troscheit Journal: Preprint (submitted) Links: pdfarxiv - Multifractal analysis of measures arising from random substitutions
With: Andrew Mitchell Journal: Comm. Math. Phys. 405 (2024), Paper No. 63, 44 p. Links: pdfdoizblarxiv - Assouad-type dimensions of overlapping self-affine sets
With: Jonathan M. Fraser Journal: Ann. Fenn. Math. 49 (2024), 3–21 Links: pdfdoizblarxiv - Attainable forms of Assouad spectra
Journal: Indiana Univ. Math. J. 73 (2024), 1331–1356 Links: pdfdoizblarxiv - Attainable forms of intermediate dimensions
With: Amlan Banaji Journal: Ann. Fenn. Math. 47 (2022), 939–960 Links: pdfdoizblarxiv - A multifractal decomposition for self-similar measures with exact overlaps
Journal: Preprint (submitted) Links: pdfarxiv - Local dimensions of self-similar measures satisfying the Finite Neighbour Condition
With: Kathryn E. Hare Journal: Nonlinearity 35 (2022), 4876–4904 Links: pdfdoizblarxiv - Geometric and combinatorial properties of self-similar multifractal measures
Journal: Ergodic Theory Dyn. Syst. 43 (2023), 2028–2072 Links: pdfdoizblarxiv - When the Weak Separation Condition implies the Generalized Finite Type Condition
With: Kathryn E. Hare, Kevin G. Hare Journal: Proc. Amer. Math. Soc. 149 (2021), 1555–1568 Links: pdfdoizblarxiv
Expository Articles
- The Kakeya conjecture in three dimensions
Journal: Permanent Preprint Links: pdf - Frostman’s lemma and subadditive functions
With: Vilma Orgoványi Journal: Permanent Preprint Links: pdf - Multifractal analysis via Lagrange duality
Journal: Permanent Preprint Links: pdfarxiv - Box versus packing dimensions via anti-Frostman measures
Journal: Permanent Preprint Links: pdf - Assouad dimension and self-similar sets satisfying the weak separation condition
Journal: Permanent Preprint Links: pdf