Ian Melbourne's Preprint List

1. I. Chevyrev, A. Korepanov and I. Melbourne. Superdiffusive limits beyond the Marcus regime for deterministic fast-slow dynamical systems.
   Preprint, December 2023. (abstract, pdf file)

2. A. C. Freitas, J. Freitas, I. Melbourne and M. Todd. Convergence to decorated Lévy processes in non-Skorohod topologies for dynamical systems
   Preprint, September 2023. (abstract, pdf file)

3. I. Melbourne and P. Varandas. Good inducing schemes for uniformly hyperbolic flows, and applications to exponential decay of correlations.
   Preprint, February 2023, updated May 2023. (abstract, pdf file)

4. G. Gottwald and I. Melbourne. Time-reversibility and nonvanishing Lévy area.
   Preprint, October 2022, updated August 2023. (abstract, pdf file)

5. Y. Lima, C. Matheus and I. Melbourne. Polynomial decay of correlations for nonpositively curved surfaces.
   Preprint, July 2021. Updated, October 2022. (abstract, pdf file)

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

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

   
   

   Pre-preprint

8. I. Chevyrev, A. Korepanov and I. Melbourne. J₁ convergence to Lévy processes for dynamical systems modelled by exponential Young towers.
   September 2023 (abstract, pdf file). This is now subsumed into the beyond Marcus paper (Section 5).