Publications

• Research Articles
• Expository Articles

Research Articles

1. Fibre stability for dominated self-affine sets

   With:	Roope Anttila
   Journal:	Preprint (submitted)
   Links:	pdfarxiv

2. Tangents and slices of self-affine carpets

   With:	Antti Käenmäki
   Journal:	Preprint (submitted)
   Links:	pdfarxiv

3. Regularity of non-autonomous self-similar sets

   With:	Antti Käenmäki
   Journal:	Preprint (submitted)
   Links:	pdfarxiv

4. Lower box dimension of infinitely generated self-conformal sets

   With:	Amlan Banaji
   Journal:	Preprint (submitted)
   Links:	pdfarxiv

5. Assouad spectrum of Gatzouras–Lalley carpets

   With:	Amlan Banaji, Jonathan M. Fraser, István Kolossváry
   Journal:	Preprint (submitted)
   Links:	pdfarxiv

6. Tangents of invariant sets

   With:	Antti Käenmäki
   Journal:	Preprint (submitted)
   Links:	pdfarxiv

7. Interpolating with generalized Assouad dimensions

   With:	Amlan Banaji, Sascha Troscheit
   Journal:	Preprint (submitted)
   Links:	pdfarxiv

8. Multifractal analysis of measures arising from random substitutions

   With:	Andrew Mitchell
   Journal:	Comm. Math. Phys. 405 (2024), Paper No. 63, 44 p.
   Links:	pdfdoizblarxiv

9. Assouad-type dimensions of overlapping self-affine sets

   With:	Jonathan M. Fraser
   Journal:	Ann. Fenn. Math. 49 (2024), 3–21
   Links:	pdfdoizblarxiv

10. Attainable forms of Assouad spectra

    Journal:	Indiana Univ. Math. J. 73 (2024), 1331–1356
    Links:	pdfdoizblarxiv

11. Attainable forms of intermediate dimensions

    With:	Amlan Banaji
    Journal:	Ann. Fenn. Math. 47 (2022), 939–960
    Links:	pdfdoizblarxiv

12. A multifractal decomposition for self-similar measures with exact overlaps

    Journal:	Preprint (submitted)
    Links:	pdfarxiv

13. Local dimensions of self-similar measures satisfying the Finite Neighbour Condition

    With:	Kathryn E. Hare
    Journal:	Nonlinearity 35 (2022), 4876–4904
    Links:	pdfdoizblarxiv

14. Geometric and combinatorial properties of self-similar multifractal measures

    Journal:	Ergodic Theory Dyn. Syst. 43 (2023), 2028–2072
    Links:	pdfdoizblarxiv

15. 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

1. Multifractal analysis via Lagrange duality

   Journal:	Permanent Preprint
   Links:	pdfarxiv

2. Box versus packing dimensions via anti-Frostman measures

   Journal:	Permanent Preprint
   Links:	pdf

3. Assouad dimension and self-similar sets satisfying the weak separation condition

   Journal:	Permanent Preprint
   Links:	pdf