Oliver Butterley

  1. Discontinuities cause essential spectrum (with Giovanni Canestrari and Sakshi Jain). Preprint, 2022.
  2. Locating Ruelle-Pollicott resonances (with Niloofar Kiamari and Carlangelo Liverani). Nonlinearity, Volume 35, Number 1, 513, 2022.
  3. Parabolic Flows Renormalized by Partially Hyperbolic Maps (with Lucia D. Simonelli). Boll. Unione Mat. Ital., 13:341–360, 2020.
  4. Polynomial Decay of Correlations for Flows, Including Lorentz Gas Examples (with Péter Bálint and Ian Melbourne). Commun. Math. Phys., 368:55–111, 2019.
  5. Open Sets of Exponentially Mixing Anosov Flows (with Khadim War). J. Eur. Math. Soc., 22:2253–2285, 2020.
  6. Disintegration of Invariant Measures for Hyperbolic Skew Products (with Ian Melbourne). Israel J. Math., 219:171–188, 2017.
  7. Exponential Mixing for Skew Products with Discontinuities (with Peyman Eslami). Trans. Amer. Math. Soc., 369:783–803, 2017.
  8. A Note on Operator Semigroups Associated to Chaotic Flows. Ergod. Th. & Dynam. Sys., 36(5):1396–1408, 2016 (Corrigendum: 36(5):1409–1410, 2016).
  9. Open Sets of Axiom A Flows with Exponentially Mixing Attractors (with Vítor Araújo, Paulo Varandas). Proc. Amer. Math. Soc., 144(7):2971–2984, 2016 (Corrigendum: 146 5013–5014).
  10. Robustly Invariant Sets in Fiber Contracting Bundle Flows (with Carlangelo Liverani). J. Mod. Dyn., 7(2):255–267, 2013.
  11. Area Expanding \(\mathcal{C}^{1+\alpha}\) Suspension Semiflows. Commun. Math. Phys., 325(2):803–820, 2014.
  12. Expanding Semiflows on Branched Surfaces and One-Parameter Semigroups of Operators. Nonlinearity 25(12):3487–3503, 2012.
  13. An Alternative Approach to Generalised \(\mathbf{BV}\) and the Application to Expanding Interval Maps. Discrete Contin. Dyn. Syst. 33(8):3355–3363, 2013.
  14. Smooth Anosov Flows: Correlation Spectra and Stability (with Carlangelo Liverani). J. Mod. Dyn., 1(2):301–322, 2007.
  15. Statistical Properties of Chaotic Flows. Ph.D. thesis, Imperial College London.

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