Ian Melbourne's Preprint List

1. I. Melbourne, J. Rademacher, B. Rink and S. Zelik. Quasicrystals in pattern formation. Part II: Spatially almost-periodic profiles and global existence.
   Preprint, January 2025. (abstract, pdf file)

2. I. Melbourne, J. Rademacher, B. Rink and S. Zelik. Quasicrystals in pattern formation, Part I: Local existence and basic properties.
   Preprint, October 2024. Updated February 2025. (abstract, pdf file)

3. D. Coates, I. Melbourne and A. Talebi. Natural measures and statistical properties of non-statistical maps with multiple neutral fixed points.
   Preprint, July 2024. (abstract, pdf file)

4. V. Biktashev and I. Melbourne. St. Petersburg paradox for quasiperiodically hypermeandering spiral waves.
   Preprint, April 2020. (abstract, pdf file)

5. P. Ashwin and I. Melbourne. Dynamics on unbounded domains; co-solutions and inheritance of stability.
   Preprint. (abstract, pdf file)