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.A. Banaji and I. Kolossváry. Intermediate dimensions of Bedford–McMullen carpets with applications to Lipschitz equivalence, arXiv, poster
Submitted to 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
Interpolating between Hausdorff and box dimension
Master’s Dissertation
Solvability of partial differential equations on fractal domains