Ian Melbourne's Preprint List


  1. I. Melbourne, N. Paviato and D. Terhesiu. Nonexistence of spectral gaps in Hölder spaces for continuous time dynamical systems
    Preprint, February 2021. To appear in Israel. J. Math. (abstract, pdf file)

  2. I. Melbourne, N. Paviato and D. Terhesiu. Decay in norm of transfer operators for semiflows.
    Preprint, January 2021. (abstract, pdf file)

  3. I. Melbourne and D. Terhesiu. Analytic proof of stable local large deviations and application to deterministic dynamical systems.
    Preprint, September 2020. (abstract, pdf file)

  4. A. Korepanov, Z. Kosloff and I. Melbourne. Deterministic homogenization under optimal moment assumptions for fast-slow systems. Part 1.
    Preprint, June 2020. (abstract, pdf file)

  5. I. Chevyrev, P. K. Friz, A. Korepanov, I. Melbourne and H. Zhang. Deterministic homogenization under optimal moment assumptions for fast-slow systems. Part 2.
    Preprint, June 2020. (Updating preprint from March 2019 with slightly different title) (abstract, pdf file)

  6. M. Galton and I. Melbourne. Iterated invariance principle for slowly mixing dynamical systems.
    Preprint, April 2020. Updated March 2021. To appear in Ann. Inst. H. Poincaré (B) Probab. Statist. (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. Eslami, I. Melbourne and S. Vaienti. Sharp statistical properties for a family of multidimensional nonMarkovian nonconformal intermittent maps.
    Preprint, March 2019. Updated 13 December 2020. To appear in Adv. Math. (abstract, pdf file)

  9. P. Jung, I. Melbourne, F. Pène, P. Varandas and H.-K. Zhang. Necessary and sufficient condition for M2-convergence to a Lévy process for billiards with cusps at flat points.
    Stoch. Dyn. Appeared online, September 2020. (abstract, pdf file)

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