Ian Melbourne's Preprint List

1. J. F. Alves, J. S. Matias and I. Melbourne. Martingale methods for maximal large deviations and Young towers.
   Preprint, May 2026. (abstract, pdf file)

2. Y. Lima, C. Matheus and I. Melbourne. Superdiffusive central limit theorems for geodesic flows on nonpositively curved surfaces.
   Preprint, December 2025. (abstract, pdf file)

3. I. Melbourne and P. Varandas. Good inducing schemes for uniformly hyperbolic maps.
   Unpublished notes. Preprint, June 2025. (abstract, pdf file)

4. D. Coates and I. Melbourne. Global-local mixing for infinite measure dynamical systems.
   Preprint, May 2025. Updated December 2025. (abstract, pdf file)

5. 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)

6. 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)

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

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