Ian Melbourne's Preprint List

1. Y. Lima, C. Matheus and I. Melbourne. Nonstandard functional central limit theorem for nonuniformly hyperbolic dynamical systems, including Bunimovich stadia.
   Preprint, July 2025. (abstract, pdf file)

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   Unpublished notes.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

3. D. Coates and I. Melbourne. Global-local mixing for intermittent maps with multiple neutral fixed points
   Preprint, May 2025. (abstract, pdf file)

4. 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)

5. 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)

6. 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)

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)