# Publications

These articles are freely available on arXiv - see the links below.

### Research Articles

Preprints:

S. Baker and A. Banaji.

*Polynomial Fourier decay for fractal measures and their pushforwards,*arXiv

Submitted.A. Banaji, J. M. Fraser, I. Kolossváry and A. Rutar.

*Assouad spectrum of Gatzouras–Lalley carpets,*arXiv

Submitted.A. Banaji, A. Rutar and S. Troscheit.

*Interpolating with generalized Assouad dimensions,*arXiv

Submitted.

Accepted:

- A. Banaji and I. Kolossváry.
*Intermediate dimensions of Bedford–McMullen carpets with applications to Lipschitz equivalence,*arXiv, poster

To appear in**Advances in Mathematics**

Published:

A. Banaji and J. M. Fraser.

*Assouad type dimensions of infinitely generated self-conformal sets,*arXiv

**Nonlinearity**37 (2024), 045004.A. Banaji.

*Generalised intermediate dimensions,*arXiv

**Monatshefte für Mathematik**202 (2023), 465–506.A. Banaji.

*Metric spaces where geodesics are never unique,*arXiv

**American Mathematical Monthly**130 (2023), 747–754.A. Banaji and J. M. Fraser.

*Intermediate dimensions of infinitely generated attractors,*arXiv

**Transactions of the American Mathematical Society**376 (2023), 2449–2479.A. Banaji and H. Chen.

*Dimensions of popcorn-like pyramid sets,*arXiv

**Journal of Fractal Geometry**10 (2023), 151–168.A. Banaji and A. Rutar.

*Attainable forms of intermediate dimensions,*arXiv

**Annales Fennici Mathematici**47 (2022), 939–960.

### Collaborators

My co-authors to date are Jonathan Fraser (3), Alex Rutar (3), István Kolossváry (2), Simon Baker (1), Haipeng Chen (Clarence) (1), Sascha Troscheit (1)

### PhD Thesis

A main focus of my PhD thesis is a family of fractal dimensions, known as the intermediate dimensions, which lie between the well known Hausdorff and box dimensions. The full thesis, entitled ‘Interpolating between Hausdorff and box dimension,’ can be found here. A two-page ‘microthesis,’ published in the May 2024 edition of the Newsletter of the London Mathematical Society and entitled ‘Intermediate dimensions,’ can be found here.

### Master’s Dissertation

Solvability of partial differential equations on fractal domains